Some Topological Properties Of Revised Fuzzy Cone Metric Spaces

A Muraliraj, R Thangathamizh


In this paper, we introduced Revised fuzzy cone Metric space with its topological properties. Likewise A necessary and sufficient condition for a Revised fuzzy cone metric space to be precompact is given. We additionally show that each distinct Revised fuzzy cone metric space is second countable and that a subspace of a separable Revised fuzzy cone metric space is separable.


Revised fuzzy metric space, Revised Fuzzy cone metric space, separable, second countable.

Full Text:



Adam Grabowski, "Basic Formal Properties of Triangular Norms and Conorms," Formalized Mathematics, Vol. 25, No. 2, pp. 93-100, 2017.

Alexander Sostak, "George-Veeramani Fuzzy Metrics Revised," Axioms, 2018, 7, 60.

Alexander Sostak and Tarkan Öner, "On Metric-Type Spaces Based on Extended T-Conorms," Mathematics, 2020, 8, 1097; doi:10.3390/math8071097.

George .A and Veeramani.P, "On some results in fuzzy metric spaces," Fuzzy Sets and Systems, 64 (1994), 395-399.

Ghareeb.A, Al-Omeri, Wadei F, "New Degrees for Functions in (L,M)-Fuzzy Topological Spaces Based on (L,M)-Fuzzy Semiopen and (L,M)-Fuzzy Preopen Operators," Journal of Intelligent Fuzzy Systems, 2018, Vol. 36, No. 1, pp. 787-803.

Grabiec.M, "Fixed points in fuzzy metric spaces," Fuzzy Sets and Systems, 27 (1988), 385-389.

Gregori.V, Samuel Morillas, and Almanzor Sapena, "Examples of fuzzy metrics and applications," Fuzzy Sets and Systems, 170 (2011), 95-111.

Huang. L. G., Zhang. X., "Cone metric spaces and fixed point theorems of contractive mappings," J. Math. Anal. Appl., 332 (2007), 1468-1476.

Kramosil.I and Michalek.J, "Fuzzy metric and Statistical metric spaces," Kybernetica, 11(1975), 326-334.

Khurshid Ahmad, Andrea Mesiarová-Zemánková, "Choosing t-Norms and t-Conorms for Fuzzy Controllers," Fourth International Conference on Fuzzy Systems and Knowledge Discovery, Haikou, Hainan, China, 24-27 August 2007, edited by Jingsheng Lei, Jian Yu, and Shuigeng Zhou, Vol. 2, 2007, pp. 641-646.

Mirko Navara, "Triangular norms and conorms" (2007), Scholarpedia, 2(3):2398. doi:10.4249/scholarpedia.2398

Muraliraj. A and Thangathamizh. R, "Fixed point theorems in revised fuzzy metric space," Advances in Fuzzy Sets and Systems, Volume 26, Number 2, 2021.

Muraliraj. A and Thangathamizh. R, "Introduction Revised fuzzy modular spaces," ISSN 0973-1768 Volume 17, Number 2 (2021), pp. 303-317.

A. Muraliraj and R. Thangathamizh, "Fixed point theorems in Revised fuzzy metric space," JMSCM, Vol.3, No.1, October, 2021.

A. Muraliraj and R. Thangathamizh, "Relation-Theoretic Revised Fuzzy Banach Contraction Principle And Revised Fuzzy Eldestein Contraction Theorem," JMSCM, Vol.3, No.2, January, 2021.

Oner, M. B. Kandemir, B. Tanay, "Fuzzy cone metric spaces," J. Nonlinear Sci. Appl., 8 (2015), 610-616.

Olga Grigorenko, Juan Jose Minana, Alexander Sostak, Oscar Valero, "On t-conorm based Fuzzy (Pseudo) metrics," Axioms, 2020, 9.

Wadei F. Al-Omeri, O.H.Khalil and Ghareeb, "Degree Of (L,M)-Fuzzy Semi-Precontinuous And (L,M)-Fuzzy Semi-Preirresolute Functions," Demonstratio Mathematica, 2018, 51, pp: 182-197.

Wadei Faris Al-Omeri, "On Mixed b-Fuzzy Topological Spaces," International Journal of Fuzzy Logic and Intelligent Systems, 2020; 20(3): 242-246.

Zadeh.L.A, "Fuzzy sets," Inform. Control, 8 (1965), 338-353.



  • There are currently no refbacks.

Copyright (c) 2023 Muraliraj A, Thangathamizh R

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.