Ratio Mathematica
http://eiris.it/ojs/index.php/ratiomathematica
<p><strong>RATIO MATHEMATICA - JOURNAL OF MATHEMATICS, STATISTICS, AND APPLICATIONS</strong></p><p>Ratio Mathematica is a historical journal of Mathematics and Statistics that has been publishing scientific articles for more than thirty years. Ratio Mathematica, founded by Prof. Franco Eugeni, was born in 1990 in Pescara, a city located in the Abruzzo region of Italy. Since the first years of activity, the journal has always been characterized by a strong internationalization.</p><p>Ratio Mathematica is an open-access journal that publishes an issue every six months (in June and December). The journal is interested in original research articles on theoretical and applied Mathematics and Statistics.</p><p>Only English-language publications are accepted. We invite authors who are not native speakers to use external services to check the grammar and correctness of the English language. A paper with an unsatisfactory level of the English language will not be considered for publication, regardless of the mathematical and statistical content.</p><p>The main topics of interest for Ratio Mathematica are:</p><p>-Advances in theoretical and applied mathematics and statistics;<br />-Decision-making in conditions of uncertainty;<br />-Fuzzy logic;<br />-Probability theory;<br />-New theories for dissemination and communication of mathematics and statistics.</p><p>The journal is interested in both methodology and applications but in both cases a component of originality and innovation is essential in order to consider the submission for publication. For this reason, simple applications of known methods are not of interest to the journal.</p><p>Ratio Mathematica is included in the <strong>UGC care list (Group I)</strong>. The Group I is composed of the Journals found qualified through UGC-CARE protocols (University Grant Commission - Consortium for Academic and Research Ethics). https://ugccare.unipune.ac.in/Apps1/Home/Index</p><p>Ratio Mathematica is included in the list of scientific journals recognized by <strong>ANVUR</strong> (Italian national agency of evaluation of the university and research system) in:<br />- <strong>Area 13</strong> - Economic and statistical sciences.<br />- <strong>Area 11</strong> - Historical, philosophical, pedagogical and psychological sciences.</p><p>https://www.anvur.it/attivita/classificazione-delle-riviste/classificazione-delle-riviste-ai-fini-dellabilitazione-scientifica-nazionale/elenchi-di-riviste-scientifiche-e-di-classe-a/</p><p> </p><p><strong>Recommendations for submitting authors</strong>: we invite the authors to submit their paper and in particular the metadata with extreme care. The metadata entered will be public in case of acceptance of the paper. 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Any ellipses (... marks) shown in this report originate with the data source; they are NOT caused by subsequent processing in Publish or Perish.</p><p><br />Metrics</p><p>Reference date: 2023-05-29 07:38:33 +00200<br /><strong>Publication years: 1990-2023</strong><br />Citation years: 33 (1990-2023)<br /><strong>Papers: 527</strong><br /><strong>Citations: 1088</strong><br />Citations/year: 32.97 (acc1=39, acc2=13, acc5=0, acc10=0, acc20=0)<br /><strong>Citations/paper: 2.06</strong><br />Authors/paper: 1.86/2.0/2 (mean/median/mode)<br />Age-weighted citation rate: 113.51 (sqrt=10.65), 74.48/author<br /><strong>Hirsch h-index: 17 (a=3.76, m=0.52, 440 cites=40.4% coverage)</strong><br />Egghe g-index: 23 (g/h=1.35, 529 cites=48.6% coverage)<br />PoP hI,norm: 12<br />PoP hI,annual: 0.36<br />Fassin hA-index: 3</p>en-US<p>This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:</p><ul><li>Free access for all users worldwide</li><li>Increased visibility and readership</li><li>Rapid publication</li><li>No spatial constraints</li><li>Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)</li></ul><h2>Copyright and Licensing Terms</h2><p>Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. <br />For further information visit: <a href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</a>. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards:</p><p><img id="__wp-temp-img-id" title="" src="http://www.eiris.it/ratio_numeri/ratio_accessori/cc.png" alt="Creative Commonce Licence" width="88" height="31" /></p>fabmatu@gmail.com (Fabrizio Maturo)fabmatu@gmail.com (Fabrizio Maturo)Mon, 20 Mar 2023 00:00:00 +0100OJS 2.4.8.1http://blogs.law.harvard.edu/tech/rss60Influence of chemical reaction, radiation and heat source on separation of binary fluid mixture with Soret and Dufour effects on MHD mixed convective flow past a vertical plate
http://eiris.it/ojs/index.php/ratiomathematica/article/view/7-23
The motive of the current study is to analyse the consequences of Soret, Dufour and thermal radiation on chemically reactive MHD mixed convective flow on separation of binary fluid mixture. Numerical techniques are applied to obtain the results by using Matlab solver bvp4c. Results are acquired for velocity, temperature and concentration distributions for various parameters and are portrayed graphically. The study discloses some interesting results where different parameters like Soret number, Dufour number, chemical reaction parameter helps in restricting the temperature near the plate and at the same time raising the lightweight ingredient's concentration close to the plate, ultimately assisting the separation process. Numerical data are computed for coefficient of skin-friction coefficient, Local Nusselt number as well as Sherwood number.Krishnandan Verma
Copyright (c) 2023 Krishnandan Verma
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/7-23Mon, 20 Mar 2023 00:00:00 +0100Transversal Eccentric Domination in Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/24-33
We introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved.Riyaz Ur Rehman A, A Mohamed Ismayil
Copyright (c) 2023 Riyaz Ur Rehman A, A Mohamed Ismayil
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/24-33Mon, 20 Mar 2023 00:00:00 +0100Some Coupled Fixed Point Theorems in Complete E−Fuzzy Metric Spaces
http://eiris.it/ojs/index.php/ratiomathematica/article/view/34-43
<p>In this paper some coupled coincidence fixed point theorems are established<br />for the mappings under ϕ- contraction in complete generalized<br />E- fuzzy metric spaces. Also give an example to validate the<br />theorem and present an application of this theorem to integral equations.</p>Shahana A R, Magie Jose
Copyright (c) 2023 Shahana A R, Magie Jose
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/34-43Mon, 20 Mar 2023 00:00:00 +0100Prime Labeling of H- Super Subdivision of Y-tree Related Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/54-62
<span class="fontstyle0">A graph </span><span class="fontstyle2">G </span><span class="fontstyle0">with </span><span class="fontstyle2">p </span><span class="fontstyle0">points is called a prime labeling , if it possible<br />to label the points </span><span class="fontstyle2">x </span><span class="fontstyle3">2 </span><span class="fontstyle2">V </span><span class="fontstyle0">with distinct labels </span><span class="fontstyle2">f</span><span class="fontstyle4">(</span><span class="fontstyle2">x</span><span class="fontstyle4">) </span><span class="fontstyle0">from </span><span class="fontstyle3">f</span><span class="fontstyle4">1</span><span class="fontstyle2">;</span><span class="fontstyle4">2</span><span class="fontstyle2">; :::; p</span><span class="fontstyle3">g<br /></span><span class="fontstyle0">in such a way that for each line </span><span class="fontstyle2">e </span><span class="fontstyle4">= </span><span class="fontstyle2">uv </span><span class="fontstyle0">gcd </span><span class="fontstyle4">(</span><span class="fontstyle2">f</span><span class="fontstyle4">(</span><span class="fontstyle2">u</span><span class="fontstyle4">)</span><span class="fontstyle2">; f</span><span class="fontstyle4">(</span><span class="fontstyle2">v</span><span class="fontstyle4">)) = 1 </span><span class="fontstyle0">. In<br />this paper we prove that some classes of graphs related to </span><span class="fontstyle2">H</span><span class="fontstyle0">- super<br />subdivision of </span><span class="fontstyle2">Y </span><span class="fontstyle0">-tree are prime graphs.</span>Meena S, Gajalakshmiy G
Copyright (c) 2023 Meena S, Gajalakshmiy G
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/54-62Mon, 20 Mar 2023 00:00:00 +0100Some New Odd prime Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/44-53
<span class="fontstyle0">For a graph </span><span class="fontstyle2">G</span><span class="fontstyle0">, a bijection </span><span class="fontstyle2">f </span><span class="fontstyle0">is called an odd prime labeling , if </span><span class="fontstyle2">f<br /></span><span class="fontstyle0">from </span><span class="fontstyle2">V </span><span class="fontstyle0">to </span><span class="fontstyle3">f</span><span class="fontstyle4">1</span><span class="fontstyle2">; </span><span class="fontstyle4">3</span><span class="fontstyle2">; </span><span class="fontstyle4">5</span><span class="fontstyle2">; ::::; </span><span class="fontstyle4">2</span><span class="fontstyle3">j</span><span class="fontstyle2">V </span><span class="fontstyle3">j - </span><span class="fontstyle4">1</span><span class="fontstyle3">g </span><span class="fontstyle0">for each edge </span><span class="fontstyle2">uv </span><span class="fontstyle0">in </span><span class="fontstyle2">G </span><span class="fontstyle0">the greatest<br />common divisor of the labels of end vertices </span><span class="fontstyle4">(</span><span class="fontstyle2">f</span><span class="fontstyle4">(</span><span class="fontstyle2">u</span><span class="fontstyle4">)</span><span class="fontstyle2">; f</span><span class="fontstyle4">(</span><span class="fontstyle2">v</span><span class="fontstyle4">)) </span><span class="fontstyle0">is one. In<br />this paper we investigate the existence of odd prime labeling of some<br />new classes of graphs and we prove that the graphs such as the </span><span class="fontstyle2">Z </span><span class="fontstyle3">-</span><span class="fontstyle2">P</span><span class="fontstyle5">n<br /></span><span class="fontstyle0">graph, Fish graph, Umbrella graph, Cocount tree , </span><span class="fontstyle2">F</span><span class="fontstyle0">-tree, </span><span class="fontstyle2">Y </span><span class="fontstyle0">-tree and<br />Double Sunflower graph are odd prime graphs.</span>Meena S, Gajalakshmiy G
Copyright (c) 2023 Meena S, Gajalakshmiy G
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/44-53Mon, 20 Mar 2023 00:00:00 +0100IFG#α-CS in Intuitionistic Fuzzy Topological Spaces
http://eiris.it/ojs/index.php/ratiomathematica/article/view/63-69
<span class="fontstyle0">The aim of this prospectus is to initiate and establish the basic properties of IFG</span><span class="fontstyle2">#</span><span class="fontstyle3">α</span><span class="fontstyle0">-closed sets and IFG</span><span class="fontstyle2">#</span><span class="fontstyle3">α</span><span class="fontstyle0">-open sets. Basic characterization theorems are given with appropriate examples</span>Christy Jenifer J, Kokilavani V
Copyright (c) 2023 Christy Jenifer J, Kokilavani V
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/63-69Mon, 20 Mar 2023 00:00:00 +0100Odd Prime Labeling For Some Arrow Related Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/70-78
<span class="fontstyle0">In a graph </span><span class="fontstyle2">G </span><span class="fontstyle0">a mapping </span><span class="fontstyle3">g </span><span class="fontstyle0">is known as odd prime labeling , if </span><span class="fontstyle3">g </span><span class="fontstyle0">is a<br />bijection from </span><span class="fontstyle2">V </span><span class="fontstyle0">to </span><span class="fontstyle2">f</span><span class="fontstyle4">1</span><span class="fontstyle3">; </span><span class="fontstyle4">3</span><span class="fontstyle3">; </span><span class="fontstyle4">5</span><span class="fontstyle3">; ::::; </span><span class="fontstyle4">2</span><span class="fontstyle2">jVj - </span><span class="fontstyle4">1</span><span class="fontstyle2">g </span><span class="fontstyle0">satisfying the condition that<br />for each line </span><span class="fontstyle3">xy </span><span class="fontstyle0">in </span><span class="fontstyle2">G </span><span class="fontstyle0">the gcd of the labels of end points </span><span class="fontstyle4">(</span><span class="fontstyle3">g</span><span class="fontstyle4">(</span><span class="fontstyle3">x</span><span class="fontstyle4">)</span><span class="fontstyle3">; g</span><span class="fontstyle4">(</span><span class="fontstyle3">y</span><span class="fontstyle4">)) </span><span class="fontstyle0">is<br />one. In this article we prove that some new arrow related graphs such<br />as </span><span class="fontstyle3">A</span><span class="fontstyle5">2<br /></span><span class="fontstyle6">y</span><span class="fontstyle0">, </span><span class="fontstyle3">A</span><span class="fontstyle5">3 </span><span class="fontstyle6">y</span><span class="fontstyle0">,</span><span class="fontstyle3">A</span><span class="fontstyle5">5 </span><span class="fontstyle6">y</span><span class="fontstyle0">, are all odd prime graphs. Also we prove that double<br />arrow graphs, </span><span class="fontstyle2">D</span><span class="fontstyle3">A</span><span class="fontstyle5">2 </span><span class="fontstyle6">y </span><span class="fontstyle0">and </span><span class="fontstyle2">D</span><span class="fontstyle3">A</span><span class="fontstyle5">3 </span><span class="fontstyle6">y </span><span class="fontstyle0">are odd prime graphs.</span>Gajalakshmi G, Meena S
Copyright (c) 2023 Gajalakshmi G, Meena S
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/70-78Mon, 20 Mar 2023 00:00:00 +0100Some Operations on Complex Fuzzy Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/79-90
<span class="fontstyle0">In this paper we discussed about some types of complex fuzzy<br />graphs which is the extension of fuzzy graph. As the membership<br />value of elements of fuzzy graph is in between 0 and 1. In complex<br />fuzzy graph it will be extended to unit circle of complex plane. Some<br />operations such as union, intersection, composition, cartesian product<br />of two complex fuzzy graphs are introduced. Some basic theorems<br />with respect to the above mentioned operations are proved with examples.</span>Azhagendran N, Mohamed Ismayil A
Copyright (c) 2023 Azhagendran N, Mohamed Ismayil A
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/79-90Mon, 20 Mar 2023 00:00:00 +0100Degree of an edge and Platt Number in signed networks
http://eiris.it/ojs/index.php/ratiomathematica/article/view/91-100
<span class="fontstyle0">Positive labelled edges play a vital role in network analysis.The degree of edges in signed graphs is introduced by giving importance to<br />positive edges incident on the end vertices of that edge. The concept<br />of Platt number of a graph, which is the sum of degrees of its edges, is<br />extended to signed graphs based on the degree defined. Bounds of degree of an edge and Platt number in certain classes of signed graphs<br />are determined. Some characterizations on Platt number of signed<br />graphs are also established. A model to analyse social networks using degree of edges and Platt number is also proposed.<br /></span><span class="fontstyle2">Keywords</span><span class="fontstyle0">: Signed graph, positive edges, negative edges, networks,<br />information diffusion, degree of an edge, Platt number</span>Diviya K D, Anjaly Kishore
Copyright (c) 2023 Diviya K D, Anjaly Kishore
http://creativecommons.org/licenses/by/4.0
http://eiris.it/ojs/index.php/ratiomathematica/article/view/91-100Mon, 20 Mar 2023 00:00:00 +0100Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1
http://eiris.it/ojs/index.php/ratiomathematica/article/view/101-108
<span class="fontstyle0">An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects<br />a public key cryptosystem’s security. The technique for coding and<br />decoding the messages was described in this work, utilising the solutions of Pell equation </span><span class="fontstyle2">x</span><span class="fontstyle3">2 </span><span class="fontstyle4">- </span><span class="fontstyle5">8</span><span class="fontstyle2">y</span><span class="fontstyle3">2 </span><span class="fontstyle5">= 1 </span><span class="fontstyle0">and matrix </span><span class="fontstyle2">Q</span><span class="fontstyle3">8</span><span class="fontstyle6">∗</span><span class="fontstyle0">. It was noted<br />that messages can be turned into an even size that is then divided into<br />slabs.</span>Janaki G, Gowri Shankari A
Copyright (c) 2023 Janaki G, Gowri Shankari A
http://creativecommons.org/licenses/by/4.0
http://eiris.it/ojs/index.php/ratiomathematica/article/view/101-108Mon, 20 Mar 2023 00:00:00 +0100Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/109-116
<span class="fontstyle0">An FSG </span><span class="fontstyle2">G</span><span class="fontstyle3">S</span><span class="fontstyle0">(T,V) fuzzy’s soft dominator colouring (FSDC) is a suitable Fuzzy Soft Colouring (FSC) where every node of a colour group<br />is dominated by a vertex of </span><span class="fontstyle2">G</span><span class="fontstyle3">S</span><span class="fontstyle0">(T,V). In the current work, we characterize the sharp bounds for the Fuzzy Dominator Chromatic Number<br />(FDCN) of fuzzy soft bipartite graphs and we present limits on the<br />FDCN of fuzzy soft bipartite graph in terms of the </span><span class="fontstyle2">γ</span><span class="fontstyle3">e</span><span class="fontstyle4">(</span><span class="fontstyle2">G</span><span class="fontstyle3">S</span><span class="fontstyle4">(</span><span class="fontstyle2">T; V </span><span class="fontstyle4">))</span><span class="fontstyle0">.<br />Furthermore, we classify fuzzy soft bipartite graphs into three classes<br />based on FDCN</span>Jahir Hussain R, Afya Farhana M
Copyright (c) 2023 Jahir Hussain R, Afya Farhana M
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/109-116Mon, 20 Mar 2023 00:00:00 +0100Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network
http://eiris.it/ojs/index.php/ratiomathematica/article/view/117-126
<span class="fontstyle0">It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision<br />– making problems. Then the Shortest Path Problem (SPP) is a well<br />– known network improvement issue with numerous practical applications. Then the shortest Path (SP) and the shortest distance (SD)<br />in an Interval – valued Pythagorean fuzzy graph (I-VPFG) are found<br />using a method in the current communication. Nodes and connections are crisp, while the edge weights are I-V triangular Pythagorean<br />fuzzy numbers (I-VTPFN). Additionally, a numerical example has<br />been used to demonstrate the suggested strategy.</span>Asim Basha M, Mohammed Jabarulla M
Copyright (c) 2023 Asim Basha M, Mohammed Jabarulla M
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/117-126Mon, 20 Mar 2023 00:00:00 +0100Strong Interval – Valued Pythagorean Fuzzy Soft Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/127-137
A Strong interval – valued Pythagorean fuzzy soft sets (SIVPFSS) an extending the theory of Interval-valued Pythagorean fuzzy soft set (IVPFSS). Then we Propose Strong interval valued Pythagorean fuzzy soft graphs (SIVPFSGs). We also present several different types of operations on Strong interval- valued Pythagorean fuzzy soft graphs and explore of their analysis.Mohammed Jabarulla Mohamed, Sivasamy Rajamanickam
Copyright (c) 2023 Mohammed Jabarulla Mohamed, Sivasamy Rajamanickam
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/127-137Mon, 20 Mar 2023 00:00:00 +0100Domination in m− polar soft fuzzy graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/138-146
In this paper, we have introduced dominating set, minimal dominating set, independent dominating set, maximal independent dominating set in m − polar soft fuzzy graphs. We proved theorems and also some properties of dominating set in m− polar soft fuzzy graphs.S Ramkumar, R Sridevi
Copyright (c) 2023 S Ramkumar, R Sridevi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/138-146Mon, 20 Mar 2023 00:00:00 +0100Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups
http://eiris.it/ojs/index.php/ratiomathematica/article/view/147-155
Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy subgroups, normal subgroups. It is also extend results on Q-fuzzy abelian sub-group and Q-fuzzy normal subgroup.R Jahir Hussain, S Palaniyandi
Copyright (c) 2023 R Jahir Hussain, S Palaniyandi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/147-155Mon, 20 Mar 2023 00:00:00 +0100A Dynamical Analysis of a Mathematical Model on Type-2 Diabetic From Obestiy
http://eiris.it/ojs/index.php/ratiomathematica/article/view/156-171
<p>The aim of this research is to construct a model for type-2 diabetic<br />from obesity using parameters based on the female population in India.<br />We have introduced two control variables as diet with physical<br />activity and medication. The positive endemic equilibrium is obtained.<br />The local and global stability of the model are analyzed with<br />some specific conditions. Numerical simulations are carried out to exhibit<br />the flow of variables with controls. Our study mainly highlights<br />the awareness of metabolic risk by healthy diet, physical activities<br />and medications.</p>G. Gnana Priya, A. Sabarmathi, V.S.V Naga Soundarya Lakshmi
Copyright (c) 2023 G. Gnana Priya, A. Sabarmathi, V.S.V Naga Soundarya Lakshmi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/156-171Mon, 20 Mar 2023 00:00:00 +0100Anti Q-M-Fuzzy Normal Subgroups
http://eiris.it/ojs/index.php/ratiomathematica/article/view/172-177
Numerous subject fields have made use of the fuzzy idea. Both the M-fuzzy level subsets and the anti Q-M-fuzzy normal subgroups are defined. You will also discover some group Q-M-homomorphism and group anti Q-M-homomorphism results in this study.S Palaniyandi, R Jahir Hussain
Copyright (c) 2023 S Palaniyandi, R Jahir Hussain
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/172-177Mon, 20 Mar 2023 00:00:00 +0100Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host)
http://eiris.it/ojs/index.php/ratiomathematica/article/view/178-193
<p>A mathematical model is investigated to analyze the biological interactions<br />between the immune system and SARS-CoV (within host).<br />Homotopy Perturbation Method is executed to obtain an analytical<br />solution to the non-linear system of ordinary differential equations.<br />Graphical illustration to these solutions is also presented. The reliability<br />and the simplicity of the aforementioned method is studied<br />through the comparison between the numerical and graphical results.<br />This comparison aids the better understanding of the disease dynamics<br />and also the establishment of probable strategies for the treatment<br />of COVID-19.</p>Pavithra Sivasamy, Vanthana Ramesh Kumar
Copyright (c) 2023 Pavithra Sivasamy, Vanthana Ramesh Kumar
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/178-193Mon, 20 Mar 2023 00:00:00 +0100Properties of Nano Generalized Pre c-Interior in a Nano Topological Space
http://eiris.it/ojs/index.php/ratiomathematica/article/view/194-201
The aim of this paper is to introduce and study the properties the nano generalized pre c- interior of a set such as nano generalized pre c-border and nano generalized pre c-exterior in a nano topological space.P Padmavathi
Copyright (c) 2023 P Padmavathi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/194-201Mon, 20 Mar 2023 00:00:00 +0100Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/202-212
<p>In graph theory, a transversal is a set of vertices incident to every edge<br />in a graph but in Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG),<br />the transversal is a hyperedge which cuts every hyperedges. In this<br />article, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locally<br />minimal IFT, IFTC(Intuitionistic Fuzzy Transversal Core) of IFk-<br />PHG has been defined. It has been proved that every IFk-PHG has<br />a nonempty IFT. Also few of the properties relating to the transversal<br />of IFk-PHG were discussed.</p>K.K Myithili, R Keerthika
Copyright (c) 2023 K.K Myithili, R Keerthika
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/202-212Mon, 20 Mar 2023 00:00:00 +0100On fz- Domination Number of Fuzzy Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/213-226
<p>Given a fuzzy graph G = (V; ; ), the fz- domination number, fz(G),<br />is the least scalar cardinality of an fz- dominating set of G. In this article,<br />we examine several features of fz-domination number of fuzzy<br />graphs as a result of various fuzzy graph operations. We find bounds<br />for the fz-domination number of a few graph products and look at the<br />requirements for the sharpness of these bounds.</p>A Lekha, K.S Parvathy
Copyright (c) 2023 A Lekha, K.S Parvathy
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/213-226Mon, 20 Mar 2023 00:00:00 +0100Super Fuzzy Matrix of Inverse in kth Order
http://eiris.it/ojs/index.php/ratiomathematica/article/view/227-235
<p>Unexpected event modelling is a affluent area of study in fuzzy matrix<br />(FM) modelling. Every fuzzy matrix may be shown as a multidimensional<br />cocept, but standard matrices cannot achieve this without<br />the proper scale. To solve this issue, a certain kind of classical fuzzy<br />matrix is required. In this study, the idea of an inverse of a k-regular<br />fuzzy matrix is introduced, and some of its key characteristics are<br />listed. As a result, the same regularity indicator is used to describe<br />a matrix. Investigation is also done on the relationship between the<br />regular, k-regular, and consistency of fuzzy matrices powers.</p>R. Deepa, Dr. P. Sundararajan
Copyright (c) 2023 R. Deepa, Dr. P. Sundararajan
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/227-235Mon, 20 Mar 2023 00:00:00 +0100Some results on range labeling
http://eiris.it/ojs/index.php/ratiomathematica/article/view/236-243
In this article, We have extended to Range labeling for some trees as for Star trees, Spider trees and Banana tressJ Senthamizh Selvan, R Jahir Hussain
Copyright (c) 2023 J Senthamizh Selvan, R Jahir Hussain
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/236-243Mon, 20 Mar 2023 00:00:00 +0100Stability of Domination in Graphs
http://eiris.it/ojs/index.php/ratiomathematica/article/view/244-256
<p>The stability of dominating sets in Graphs is introduced and studied,<br />in this paper. Here D is a dominating set of Graph G. In this<br />paper the vertices of D and vertices of $V - D$ are called donors<br />and acceptors respectively. For a vertex u in D, let $\psi_{D}(u)$ denote<br />the number $\|N(u) \cap (V - D)\|. The donor instability or simply d-<br />instability $d^{D}_{inst}(e)$ of an edge e connecting two donor vertices v and<br />u is $\|\psi_{D}(u)-\psi_{D}(v)\|$. The d-instability of D, $\psi_{d}(D) is the sum of<br />d-instabilities of all edges connecting vertices in D. For a vertex u<br />not in D, let $\phi_{D}(u) denote the number $\|N(u)\cap D\|. The Acceptor Instability<br />or simply a-instability $a^{D}_{inst}(e)$ of an edge e connecting two<br />acceptor vertices u and v is $\|\phi_{D}(u)-\phi_{D}(v)\|$. The a-instability of D,<br />$\phi_{a}(D)$ is the sum of a-instabilities of all edges connecting vertices in<br />$V - D$. The dominating set D is d-stable if $\psi_{d}(D) = 0$ and a-stable<br />if $\phi_{a}(D) = 0$. D is stable, if $\psi_{d}(D) = 0$ and $\psi_{a}(D) = 0$. Given a<br />non negative integer #\alpha$, D is $\alpha-d-stable$, if $d^{D}_{inst}(e)\leq\alpha$ for any edge<br />e connecting two donor vertices and D is $\alpha-a-stable$, if $a^{D}_{inst}(e)\leq\alpha$<br />for any edge e connecting two acceptor vertices. Here we study $\alpha$-<br />stability number of graphs for non negative integer $\alpha$.</p>Reeja Kuriakose, K. S Parvathy
Copyright (c) 2023 Reeja Kuriakose, K. S Parvathy
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/244-256Mon, 20 Mar 2023 00:00:00 +0100Superior Eccentric Domination Polynomial
http://eiris.it/ojs/index.php/ratiomathematica/article/view/257-270
<p>In this paper we introduce the superior eccentric domination polynomial $SED(G, φ) = β\sum_{ l=\gamma_{sed}(G)} |sed(G, l)|φ^{l}$ where |sed(G, l)| is the number of all distinct superior eccentric dominating sets with cardinality l and $\gamma_{sed}(G)$ is superior eccentric domination number. We find SED(G, φ) for different standard graphs. Results are presented.</p>R Tejaskumar, A Mohamed Ismayil
Copyright (c) 2023 R Tejaskumar, A Mohamed Ismayil
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/257-270Mon, 20 Mar 2023 00:00:00 +0100Linear predictor and autocorrelation for noisy and delayed digital signal
http://eiris.it/ojs/index.php/ratiomathematica/article/view/271-279
<p>This paper deals with the association between the linear prediction and digital signal modeling and ends up with the suitable ways to predict the signal by considering a stationary signal $y_{n}$. The linear prediction of signal modeling based on the finite past and the solutions are arrived in a recursive manner. Further we analyzed the wiener filter along with spectral theorem and autocorrelation in terms ofpredictive analysis.This estimates the gap function along with delay and noise. The delayed signal’sproperties are analyzed like causal, stability and applied these into optimum filtering. Finally the predicted error is compared with linear predictor and Wiener filter. Then transfer function is applied to estimate the interval function and gap function along with delay.</p>G Vinu Priya, R Jothilakshmi
Copyright (c) 2023 G Vinu Priya, R Jothilakshmi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/271-279Mon, 20 Mar 2023 00:00:00 +0100Wheat Crop Yield Forecasting Using Various Regression Models
http://eiris.it/ojs/index.php/ratiomathematica/article/view/280-290
The prediction of crop yield, particularly paddy production is a challenging task and researchers are familiar with forecasting the paddy yield using statistical methods, but they have struggled to do so with greater accuracy for a variety of factors. Therefore, machine learning methods such as Elastic Net, Ridge Regression, Lasso and Polynomial Regression are demonstrated to predict and forecast the wheat yield accurately for all India-level data. Assessment metrics such as coefficient of determination ($R^{2}$ ), Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) are used to evaluate the performance of each developed model. Finally, while evaluating the prediction accuracy using evaluation metrics, the performance of the Polynomial Regression model is shown to be high when compared to other models that are already accessible from various research in the literature.CV Shakila, SK Khadar Babu
Copyright (c) 2023 CV Shakila, SK Khadar Babu
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/280-290Mon, 20 Mar 2023 00:00:00 +0100BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques
http://eiris.it/ojs/index.php/ratiomathematica/article/view/291-297
<p>In this paper control system’s stability is arrived based on Bounded<br />Input Bounded Output (BIBO) when bounded input is given in the<br />form of discrete values. The control system allows the state estimation<br />constraints to reach the convergence even when fluctuations in<br />the parameters of the input system occur. To overcome this DTFT<br />(Discrete Time Fourier Transform) is used when the signal is completely<br />absolutely summable. Stability of the LTI (Linear time invariant)<br />system is showed and is depending on the absolute summable of<br />their impulse response. Simultaneously for continuous signal the stability<br />occurs if it is absolutely integrable . LTI system is steady if their<br />impulse responses encounter the Dirichlet conditions. In addition to<br />that the linearity and time-invariance properties are discussed. This<br />provide a new way to decompose the periodic signals into Fourier series<br />by convolving the fundamental signals. Continuous and discrete<br />time signals are focused in this paper to get linear time invariant system<br />(LTI) through complex exponentials. Finally filtering techniques<br />were used to eliminate the noisy frequency component in a signal.</p>C. B. Sumathi, R. Jothilakshmi
Copyright (c) 2023 C. B. Sumathi, R. Jothilakshmi
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/291-297Mon, 20 Mar 2023 00:00:00 +0100Intuitionistic Robust Fuzzy Matrix for the Diagnosis of Stress, Anxiety and Hypertension
http://eiris.it/ojs/index.php/ratiomathematica/article/view/298-309
<p>The mathematical model given here attempts to improve precision<br />in the diagnosis of stress, anxiety, and hypertension using Intuitionistic<br />robust fuzzy matrix (IRFM). In practice, the imprecise nature<br />of medical documentation and the uncertainty of patient information<br />frequently do not provide the appropriate level of confidence in the<br />diagnosis. To that purpose, a novel method based on distinct fuzzy<br />matrices and fuzzy relations is devised, which makes use of the capabilities<br />of fuzzy logic in describing, understanding, and exploiting<br />facts and information that are unclear and lack clarity. With the assistance<br />of 30 doctors, a medical knowledge base is created during the<br />procedure. The model obtained 95.55%t accuracy in the diagnosis,<br />demonstrating its utility.</p>K. Revathi, Dr. P. Sundararajan
Copyright (c) 2023 K. Revathi, Dr. P. Sundararajan
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/298-309Mon, 20 Mar 2023 00:00:00 +0100Solving fuzzy linear programming problems by using the fuzzy exponential barrier method
http://eiris.it/ojs/index.php/ratiomathematica/article/view/310-318
<p class="address"><span lang="EN-US">In order to resolve the fuzzy linear programming problem, the fuzzy exponential barrier approach is the major strategy employed in this article. To overcome the problems with fuzzy linear programming, this method uses an algorithm. In this concept, a fuzzy inequality constraint is produced since the objective functions are convex.numerical examples are provided.</span></p>A Nagoor gani, R Yogarani
Copyright (c) 2023 A Nagoor gani, R Yogarani
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/310-318Mon, 20 Mar 2023 00:00:00 +0100Robust Fuzzy Graph
http://eiris.it/ojs/index.php/ratiomathematica/article/view/319-324
<p>The idea of fuzzy graphs is crucial for dealing with uncertainty in<br />day-to-day living situations. In this work, we have a present a work<br />fuzzy graph associates with robustness model that’s easy, flexible, and<br />simple. With this model, we have a tendency to address the examination<br />planning downside below uncertainty supported. Randomness<br />and unclearness are two very separate types of uncertainty in knowledge.<br />This study bridges resilient fuzzy graphs and addresses every<br />type of uncertainty in higher cognitive processes. In this paper we introduce<br />a type of fuzzy graph relating with robustness is called robust<br />fuzzy graph and some of its properties. Robust fuzzy graph becomes<br />a best tool in evidence theory for calculating belief functions, plausibility<br />functions, spanning functions etc.</p>A. Sudha, Dr. P. Sundararajan
Copyright (c) 2023 A. Sudha, Dr. P. Sundararajan
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http://eiris.it/ojs/index.php/ratiomathematica/article/view/319-324Mon, 20 Mar 2023 00:00:00 +0100