### History and new possible research directions of hyperstructures

#### Abstract

We present a summary of the origins and current developments of the theory of algebraic hyperstructures. We also sketch some possible lines of research .

#### Keywords

#### Full Text:

PDF#### References

AMERI R: and ZAHEDI M.M. – Hypergroup and join space induced by a fuzzy subset, PU.M.A. vol. 8, (2-3-4) (1997)

AMERI R and SHAFIYAN N. – Fuzzy prime and primary hyperideals in hyperrings, Advances in Fuzzy Mathematics n. 1-2, (2007)

AMERI R. and NOZARI T. – A nonnection betweem categories oh (fuzzy) multialgebras and (fuzzy) alebras, Italian Journal of Pure and Applied Mathematics, n. 27, (2010)

ASHRAFI R. – About some join spaces and hyperlattices, Italian Journal of Pure and Applied Mathematics, n. 10, (2001)

ASHRAFI R. , A. H. ZADEH, M. YAVARI – Hypergraphs and join spaces, Italian Journal of Pure and Applied Mathematics, n. 12, (2002)

ASOKKUMAR A., VELRAJAN M. – Hyperring of matrices over regular hyperring, Italian Journal of Pure and Applied Mathematics, n. 23, (2008)

ASOKKUMAR A., VELRAJAN M. – Characterization of regular hyperrings, Italian Journal of Pure and Applied Mathematics, n. 22, (2007)

BISWAS R. – Rough Sets and Fuzzy Sets, BUSEFAL 83, (2000)

BORZOOEI R.A., ZAHEDI M.M, JUN Y.HASANKHANI A. B. – Some results on hyper K-algebras, Mathematicae, vol. 3, n.1, (2000)

BORZOOEI R.A., ZAHEDI M.M – Fuzzy structures on hyperK-algebras, J. of Uncertainty Fuzziness and Knowledge Based-Systems, vol.10, n.1, (2002)

BORZOOEI R.A., CORSINI , P. ZAHEDI M.M. – Some kinds of positive implicative hyperK-ideals, Journal of Discrete Mathematical Sciences and Cryptography, vol 6 , n. 1. (2003)

BORZOOEI R.A., ZAHEDI M.M, Some classification of fuzzy positive implicative hyperK-ideals, PU.M.A. vol. 14, n. 1-2, (2003)

BORZOOEI R.A., HASANKHANI A. REZAEI A. – Results on i.p.s. Hypergroups, J. of Multiple Logic and Soft Computing, Vol. 9, (2003)

BORZOOEI R.A., YOUNG BAE JUN, Intuitionistic fuzzy hyper BCK – ideals of hyper BCK-algebras, vol. 1, n. 1 (2004)

BORZOOEI H. HARIZAVI, Isomorphismes theorems of Hyper K. Algebras. Italian Journal of Pure and Applied Mathematics, n.21, (2007)

COMER S.D. – Hyperstructures associated with character algebras, Hadronic Press, (1996)

CORSINI P. – Join Spaces, Power Sets, Fuzzy Sets, Proc. Fifth International Congress on A.H.A., 1993, Iasi, Romania

CORSINI P. – Hypergraphs and hypergroups, Algebra Universalis, , 35, (1996)

CORSINI P. – A remarkable class of F- hypergroups, Proc. “The 8th Symposium of Math, and its Appl. “ Timisoara 1999

CORSINI P. – Rough Sets, Fuzzy Sets and Join Spaces, Honorary Volume dedicated to Prof. Emeritus Ioannis Mittas, Aristotle Univ. of Thessaloniki, 1990-2000, Editors M. Konstantinidou, K. Serafimidis, G. Tsagas

CORSINI P. – Fuzzy sets, join spaces and factor spaces, , PU.M.A. vol 11, n.3. (2000)

CORSINI P. – Fuzzy sets of type 2 and hyperstructures,Proceedings of “8th International Congress on A.H.A., Samothraki, September 2002

CORSINI P. – Binary relations, interval structures and join spaces, J. Appl. Math. & Computing,, Korean Soc. for Comput. & Appl. Math., Vol. 10, (2002)

CORSINI P. – On Chinese Hyperstructures, Proc. of the seventh Congress A.H.A., Taormina, 1999, Journal of Discrete Mathematical Sciences & Criptography, vol. 6, (2003)

CORSINI P. – Properties of hyperoperations associated with fuzzy sets, and with factor spaces, International Journal of Sciences and Technology, Kashan University, vol. 1, n. 1, (2000)

CORSINI P. – Fuzzy Sets, Join Spaces and Factor Spaces, PU.M.A., vol. 11. n. 3, (2000)

CORSINI P. – On the hypergroups associated with Binary Relations, Journal of Multiple-valued Logic, vol. 5, (2000)

CORSINI P. – Binary Relations, Interval Structures and Join Spaces, Korean J. Math. Comput. Appl. Math., 9 (1), (2002)

CORSINI P. – A new connection between hypergroups and fuzzy sets Southeast Bulletin of Math., 27 (2003)

CORSINI P. – Hyperstructures associated with Ordered Sets, Bull. Greek Math. Soc. vol. 48, (2003)

CORSINI P., – Join Spaces, multivalued functions and soft sets, Proceedings of the International Conference on Algebra 2010, (ICA 2010), Universitas Gadjah Mada and the Southeast Asian Math

CORSINI P. and CRISTEAI. – Fuzzy grade of i.p.s. hypergroups of order less or equal to 6, PU.M.A. vol. 14, n. 4, (2003) 33 CORSINI P. and CRISTEA I. – Fuzzy grade of i.p.s. hypergroups of order 7,Iran J. of Fuzzy Systems, vol. 1, (2004)

CORSINI P. and CRISTEA I. – Fuzzy sets and non complete 1-hypergroups, An. St. Univ. Ovidius Constanta 13 (1), (2005)

CORSINI P. and DAVVAZ B. – New connections among multivalued functions, hyperstructures and fuzzy sets, Jordan Journal of Mathematics and Statistics, (JJMS) 3(3), (2010)

CORSINI P. and LEOREANU V. – Join Spaces associated with Fuzzy Sets, J. of Combinatorics , Information and System Sciences, vol. 20, n. 1 (1995)

CORSINI P. and LEOREANU V. – Hypergroups and binary relations, Algebra Universalis, , 43, (2000)

CORSINI P. and LEOREANU - FOTEA V. IRANMANESH A. . – On the sequence of hypergroups and membership functions determined by a hypergraph, J. Multiple Logic and Soft Computing 14, (6), (2008)

9 CORSINI P. and LEOREANU - FOTEA V. – On the grade of a sequence of fuzzy sets and join spaces determined by a hypergraph, Southeast Asian Bulletin of Mathematics, 34, (2010)

CORSINI P., MAHJOOB R. – Multivalued functions, fuzzy subsets and join spaces, Ratio Mathematica, 20, (2010)

CORSINI P. and MOGHANI G.A. – On the finite semi-join spaces and fuzzy sets, PU.M.A. , 12 , (2001)

CORSINI P. , SHABIR M. and T. MAHMOOD – Semisimple semihypergroups in terms of hyperideals and fuzzy hyperideals, Iranian J. of Fuzzy Systems, Vol. 8, n. 1 (2011)

CORSINI P. , TOFAN I. – On Fuzzy Hypergroups, PU.M.A., vol. 8, (1997)

CORSINI P. , VOUGIOUKLIS TH. – From groupoids to groups through hypergroups, Rend. Mat. Ser. VII, vol. 9 (1989)

CRISTEA I. – A property of the connection between fuzzy sets and 32 hypergroupoids, Italian Journal of Pure and Applied Mathematics, n. 21, (2007)

CRISTEA I., Complete hypergroups, , 1-hypergroups and fuzzy sets, Analele Universitatii “Ovidius”Constanta, n. 10, fasc. 2 (2002)

CRISTEA I. – On the fuzzy subhypergroups of some particular complete hypergroups (II), Proceedings of the 10th International Congress on AHA, Brno, (2008)

CRISTEA I. – Hyperstructures and fuzzy sets endowed with two membership functions , Fuzzy Sets and Systems, 160, (2009)

CRISTEA I. and ANGHELUTA C. – Fuzzy grade of the complete hypergroups, sbmitted to Iranian Lournal of Fuzzy Systems (2011)

CRISTEA I. and DAVVAZ B, – Atanassov’s intuitionistic fuzzy grade of hypergroups, Information Sciences, 180 (2010)

CRISTEA I. , STEFANESCU M – Binary relations and reduced hypergroups, Discrete Mathematics 308, (2008)

DARAFSHEH M. R. , DAVVAZ B. – Hv –Ring of fractions, Italian Journal of Pure and Applied Mathematics, n. 5 (1999)

DAVVAZ B. – Interval-valued fuzzy subhypergroups, Korean J. Comput. Appl. Math. 6, n.1. (1999)

DAVVAZ B., CORSINI P. – Generalized fuzzy polygroups,Vo.3. N-1. (2006)

DAVVAZ B., CORSINI P. –Redifined fuzzy Hv- submodules and many valued implications, Informations Sciences, 177, (2007)

DAVVAZ B., CORSINI P. LEOREANU-FOTEA V. – Fuzzy n-ary polygroups, Computers and Mathematics, 57, (2009)

DAVVAZ B., CORSINI P. LEOREANU-FOTEA V. –Atanassov’s intuitionistic (S,T) – fuzzy n-ary subhypergroups, Information Science, 179 (2009)

DAVVAZ B., LEOREANU-FOTEA V. Structures of fuzzy Gamma-hyperideals of Gamma-semihypergroups , Accepted by Journal of of multiple valued logic and soft computing. (2010)

FENG YUMING – L-fuzzy and hyperoperations, Set-Valued Mathematics and Applications, n. 2. (2008)

FENG YUMING –A new family of join hyperoperations , Journal of Chongqing Three Gorges University, (2008)

FENG YUMING – L-Fuzzy hyperoperations, Set-Valued Mathematics and Applications, , vol. 1, n. 2 (2008)

FENG YUMING – Algebraic hyperstructures obtained from algebraic structures with binary fuzzy binary relations, Italian Journal of Pure and Applied Mathematics, n. 25, (2009)

FENG YUMING – The L-fuzzy hyperstructures (X, ,) and (X, , ), Italian Journal of Pure and Applied Mathematics, n. 26, (2009)

FENG YUMING – p-Fuzzy hypergroups and p- fuzzy join spaces obtained from p - fuzzy hypergraphs, Italian Journal of Pure and Applied Mathematics, n. 27, (2010)

FENG YUMING.– L-fuzzy * and / hyperoperations, Fuzzy Sets, Rough Sets, Multivalued Operations and Applications, Vol.1, n. 1, (2009)

FENG Y., JIANG Y. And LEOREANU-FOTEA V.– On the grade of a sequence of fuzzy sets and join spaces determined by a hypergraph, II, Afrika Mathematika, 2011, DOI 10.1007/s13370-011-0038-6

HASANKHANI A., ZAHEDI M.M. F-Hyperrings, , Italian Journal of Pure and Applied Mathematics, n. 4, (1998)

GOLMOHAMADIAN M. and ZAHEDI M,M, – Hyper K-Algebras induced by a deterministic finite automaton. Italian Journal of Pure and Applied Mathematics, n. 27, (2010)

HASANKHANI A., ZAHEDI M.M. – F-Hyperrings, Italian Journal of Pure and Applied Mathematics, n. 4, (1998)

HOSKOVA S. – Quasi-order hypergroups and T –hypergroups, International Journal of Mathematics and Analysis Vol. 2. No. 1-3, Serials Publications, India (2006)

HOSKOVA S. – Construction of hypergroups from ordered semigroups, Ostrava, VSB-Technicka Univerzita Ostrava, Czech Republic, (2006)

JANTOSCIAK J. – Homomorphisms, equivalences and reductions in hypergroups, Riv. Mat. Pura e Applicata, n. 9, (1991) 74 JUN YOUNG BAE, ROH EUN HWAN – On strong HyperK-ideals of HyperK-algebras, Italian Journal of Pure and Applied Mathematics, n. 10, (2001)

KEHAGIAS Ath. – An example of , (2002)L-fuzzy join space, Circ. Mat. Palermo

KEMPRASIT Y. – Multiplicative interval semigroups on R. admitting structure, Italian Journal of Pure and Applied Mathematics, n. 11, (2002)

KEMPRASIT Y. – Transformation semigroups admitting hyperring structure, Italian Journal of Pure and Applied Mathematics, n. 10, (2001)

KEMPRASIT Y. – Hyperring structure of some semigroups of linear transformations, Italian Journal of Pure and Applied Mathematics, n. 13, (2003)

LEOREANU V. – On the heart of join spaces and of regular hypergroups, Riv. Mat, Pura e Appl., n. 17, (1995)

LEOREANU V. – Direct limit and products of join spaces associated with rough sets, Honorary Volume dedicated to Prof. Emeritus Ioannis Mittas, Aristotle Univ. of Thessaloniki, 1999-2000

LEOREANU V. – Direct limit and inverse limit of join spaces associated with fuzzy sets, PU.M.A. vol.11, n. 3(2000), 509-516, ISSN 0866-5907

LEOREANU V. – About hyperstructures associated with fuzzy sets of type 2, , Italian Journal of Pure and Applied Mathematics, n. 17, (2005)

LEOREANU-FOTEA V. – The lower and upper approximations in a hypergroup, Information Sciences 178 (2008), pp. 3605-3615, ISSN: 0020-0255 (Jurnal cotat ISI);

LEOREANU- FOTEA V.– Several types of n-ary hypergroups, Italian Journal of Pure and Applied Mathematics, n. 23, (2008)

LEOREANU- FOTEA V. – Fuzzy hypermodules, Computers and Mathematics with Applications, vol. 57, issue 3 (2009)

LEOREANU- FOTEA V. – A new type of fuzzy n-ary hyperstructures, Information Sciences, vol. 179, issue 15, (2009)

LEOREANU- FOTEA, V.CORSINI P. – Soft hypergroups, Critical Review, Society for Mathematics of Uncertainty. Creighton Univesity,- USA, July 2010, vol. IV

LEOREANU- FOTEA, V.CORSINI P. – Hypergroups determined by social relationships, Ratio Sociologica, Vol. 3, n. 1 (2010)

V. LEOREANU- FOTEA, L. LEOREANU, – About a sequence of hyperstructures associated with a rough set, Southeast Asian Bulletin of Mathematics, (2010) 34: 113-119, ISSN: 0129-2021;

LEOREANU- FOTEA V. ROSENBERG I. – Hypergroupoids determined by lattices, European Journal of Combinatorics, 31, (2010)

LEOREANU- FOTEA V. – Approximations in hypergroups and fuzzy hypergroups, Computers & Mathematics with Applications, 61 (2011) Pages 2734-2741

LEOREANU- FOTEA V. – Fuzzy join n-ary spaces and fuzzy canonical n-ary hypergroups, Fuzzy Sets and Systems, Volume 161, Issue 24, 16 December 2010, Pages 3166-3173

LEOREANU- FOTEA V., DAVVAZ B. –, – Fuzzy hyperrings, Fuzzy sets and Systems, Volume 160, Issue 16, (2009), Pages 2366-2378

LEOREANU- FOTEA V. – Fuzzy rough n-ary subhypergroups, Iranian Journal of Fuzzy Systems, vol. 5, n. 3 (2008), 45-56, ISSN: 1735-0654

LEOREANU- FOTEA V., CORSINI P. – Isomorphisms of hypergroups and of n-hypergroups with applic,ations, Soft Computing, vol. 13, n. 10 (2009), 985-994, ISSN: 1432-7643

LEOREANU- FOTEA V. DAVVAZ B. – Roughness in n-ary hypergroups, Information Sciences, 178 (2008), 4114-4124 , ISSN: 0020-0255

LEOREANU- FOTEA V. – The lower and upper approximations in a hypergroup, Information Sciences 178 (2008), pp. 3605-3615, ISSN: 0020-0255

LEOREANU-FOTEAV. – Fuzzy rough n-ary subhypergroups, Iranian Journal of Fuzzy Systems, vol. 5, n. 3 (2008), 45-56, ISSN: 1735-0654 (Journal cotat ISI

MARTY F. – Sur une généralization de la notion de groupe, IV Congrès des Mathématiciens Scandinaves, Stockholm, (1934)

MATURO A. – On a non-standard algebraic hyperstructure and its applications to the coherent probability assessments, Italian Journal of Pure and Applied Mathematics, n. 7, (2000)

MATURO A. – Finitely additive conditional probability with value on a hyperstructure, J. of Information & Optimization Sciences ,vol. 22, 1 (2001)

MATURO A. – A geometrical approach to the coherent conditional probabilily and its fuzzy extensions, Scientific Annals of A. S. V. M., “Ion Ionescu de la Brad”, Iasi XLIX. (2006)

MATURO A. – Algebraic hyperstructures and coherent conditional previsions. In: Advances in Abstract Algebra, Tofan, Gontineau, Tarnauceau Editors (2007).

MATURO A. – On some structure of fuzzy numbers, Proceedings of 10th International A.H.A. Congress, Brno, (2008) 105 MATURO A. – Join coherent previsions, Set-valued Mathematics and Applications , n. 2, (2008)

MATURO A. – Coherent conditional previsions , and geometric hypergroupoids, Fuzzy Sets, Rough Sets, Multivalued Operations and Applications, Vol.1, n. 1, (2009)

-MATURO A., DORIA S., Hyperstructures of Conditional Events for artificial intelligence, in "Mathematical models for handling partial knowledge in artificial intelligence", Plenum press, New York,1995, pagg.201-208

MATURO A., On some hyperstructures of conditional events, in Proceedings of Conference on Algebraic Hyperstructures and Applications ‘ pp. 115-132, Prague, September 1-9, 1996, Printed in 1997 byDemocritus University of Thrace, Greece

MATURO A., Conditional events, conditional probabilities and hyperstructures, in Proceedings EUFIT ’97, September 8-11, 1997, pp. 1509/1513, Aachen, Germany

MATURO A., DORIA S., Hyperstructures and geometric spaces associated to a family of events, Rivista di Matematica Pura ed Applicata, N 19, 1996, pp.125-137 printed in 1998

MATURO A., FERRI B., An application of the fuzzy set theory to evaluation of urban projects, in New trends in Fuzzy Systems, pp.82-91, Scientific Word, 1998

MATURO A., FERRI B., Hyperstructures as tool to compare urban projects, in Ratio Mathematica, 12, 1997, pp 79-89, printed in April 1998

MATURO A., FERRI B., (1999), Fuzzy Classification and Hyperstructures: An Application to Evaluation of Urban Project, in: Classification and Data Analysis, pp. 55-62, Springer-Verlag, Berlin 114 MATURO A., FERRI B., (1999), On Some Applications of Fuzzy Sets and Commutative Hypergroups To Evaluation In Architecture And Town-Planning, Ratio Mathematica, 13, pp. 51-60

MATURO, (2001), Hypergroups and Generalized probabilities, in “Advances in Generalized Structures, Approssimate Reasoning and

Applications”, pp. 13-29, Performantica Press, Iasi, Romania, 2001 ISBN 973-8075-14-9

MATURO - B. FERRI, (2001), Mathematical models based on fuzzy classification and commutative hypergroups to solve present problems of evaluation in town planning, in Fuzzy Systems & A. I., Vol. 7, Nos. 1-3, 2001, pp. 5-12, Romanian Academy Publishing House, Iasi, Romania, 2002

A. MATURO, Cooperative games, Finite Geometries and Hyperstructures, Ratio Matematica 14, 2003, pp.57-70

MATURO A., FERRI B. – Classification and hyperstructures in problems of Architechture and Town-Planning, J. of Interdisciplinary Mathematics vol. 4, 1 (2001)

MITTAS J. Generalized M-polysymmetric hypergroups. Proceedongs 10th International Congress on AHA, Brno, (2008) 120 C. NAMNAK, TRIPHOP & Y. KEMPRASIT Y. – Homomorphisms of some multiplicative hyperrings, Set-valued Mathematics and Applications , n. 2, (2008)

PAWLAK Z. – Rough Sets. Theoretical Aspect of Reasoning about Data, Kluwer Academic Publishers, (1991)

PRENOWITZ W: , JANTOSCIAK J. – Geometries and Join Spaces, J. reine und angewandte Math. 257 (1972)

RASOVIC SANJA – JANCIC, On a class of P-hyperrings, Mathematica Montesnigri, ,Vol. 18-19 (2006)

RASOVIC RASOVIC SANJA – JANCIC – About the hyperring of polynomials, Italian Journal of Pure and Applied

Mathematics, n. 21, (2007)

RASOVIC SANJA – JANCIC, On a class of P1-P2 -hyperrings, and hypernear-rings, Set-Valued Mathematics and Applications, Vol. 1, n. 1, (2008)

RASOVIC SANJA – JANCIC - On a class of Chinese hyperrings, Accepted in Italian Journal of Pure and Applied Mathematics N. 29, (2008)

RASOVIC SANJA – JANCIC Hyperrings constructed by multiendomorphisms of hypergroups, Proceedings of the 10th International Congress on AHA, Brno. (2008)

ROSENBERG I. – Hypergroups and join spaces determined by relations, Italian Journal of Pure and Applied Mathematics, n. 4, (1998)

ROSENBERG I. – Hypergroups induced by paths of a

directed graph, Italian Journal of Pure and Applied Mathematics,

n. 4, (1998)

ROSENFELD A. Fuzzy Groups, J. Math. Anal. Appl., 35, (1971)

M. K. SEN, R AMERI. CHOWDHURY YG Fuzzy hypersemigroups. Soft Comput. 12(9): 891-900 (2008)

SEN M.K., DASGUPTA UTPAL – H-Relation and its Associated Hyperstructures, Set-valued Mathematics and Applications , n. 2, (2008)

SERAFIMIDIS K., KEHAGIAS ATH., KONSTANTINIDOU M. – The L-fuzzy Corsini join hyperoperation, Italia Journal of Pure and Applied . Mathematics, Vol. 12, (2002)

SHAEFER G. – A mathematical theory of evidence, Pronceton University Press, (1976)

SPARTALIS S. – The hyperoperation relation and the Corsini’s partial or not partial hypergrpupoids (a classification), Italian Journal of Pure and Applied Mathematics, n. 24, (2008)

SPARTALIS S. , ILIADIS Lazaros S. – Risk Modeling by applying Unsupervised Neural Clustering on Fuzzy Conjunction Vectors”, Accepted for n. 28 by Italian Journal of Pure and Applied Mathematics, (2009)

STEFANESCU M. CRISTEA I.– On the fuzzy grade of hypergroups, Fuzzy Sets and Systems, n. 159, (2008)

TOFAN I., VOLF C. – On some connections between hyperstructures and fuzzy sets, Italian Journal of Pure and Applied Mathematics, n. 7, (2000)

TUMSOUN – Quasi-hyperideals in multiplicative hyperrings. M. Sc. THESIS, Chulalongkorn University (2003)

MORTEZA YAVARY – Corsini’s method and construction of Join Spaces, Italian Journal of Pure and Applied Mathematics, n. 23 (2008)

VOUGIOUKLIS TH. – The fundamental relation in hyperrings. The general hyperfield, Proceedings of the Fourth International Congress AHA, (1990)

VOUGIOUKLIS TH. – On the hyperstructures with ∂-hopes, Proceedings 10th International Congress on AHA, Brno, (2008)

YUNQIANG YIN, JIANMING ZHAN; P: CORSINI P., Fuzzy roughness of n-ary hypergroups based on a complete residuated lattice, Neural Comput. & Applications, (2011)

ZADEH L. – Fuzzy Sets, Information and Control, 8, (1965) 145 ZAHEDI M.M. and HASANKHANI A. – F-Polygroups (II), Information Sciences , 89 (1996)

ZAHEDI M.M., AMERI R. – On the prime, primary and maximal subhypermodules, Italian Journal of Pure and Applied Mathematics, n. 5 (1999)

ZAHEDI M.M., KHORASHADI-ZADEH M.R., CORSINI P.– Some results on the category of Lt-Fuzzy Hypergraphs, PU.M.A., vol. 11, n. 4, (2000)

ZAHEDI M.M., TORKZADEH L., BORZOOEI R.A. Hyper I-algebras and polygroups, Quasigroups and Related Systems, (Poland), vol. 11 (2004)

ZHAN JIANMING, CORSINI P. – L-Fuzzy Roughness in n-ary hypergroups, Accepted by Neural Computing and Applications, (2010)

ZHAN JIANMING, CORSINI P. – L-Fuzzy Roughness in n-ary polygroups. Accepted by Acta Math. Sinica, (2010)

ZHAN JIANMING, DAVVAZ BIJAN, YOUNG BAE JUN – Generalized fuzzy algebraic hypersystems, Accepted by Italian Journal of Pure and Applied Mathematics, (2010)

ZHAN JIANMING, LEOREANU-FOTEA V. , VOUGIOUKLIS TH. Fuzzy Soft Gamma- hypermodules. Accepted by Scientific BulletinUniversity Politehnica of Bucharest (2011)

CORSINI P., Prolegomena of Hypergroup Theory, Aviani Editore, (1993)

CORSINI P. and LEOREANU V., Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, (2003)

MATURO A. and TOFAN I., Iperstrutture, strutture fuzzy ed applicazioni, dierre edizioni San Salvo, (2001)

MATURO A. and Ferri B., Decisioni in Architettura. Un approccio basato su Fuzzy Set e Iperstrutture, Innovazione srl Pescara, (2003)

PRENOWITZ W. and JANTOSCIAK J. – Join Geometries, Springer-Verlag UTM, (1979)

VOUGIOUKLIS T., Hyperstructures and their representations, Hadronic Press Inc. (1994)

### Refbacks

- There are currently no refbacks.

Copyright (c) 2011 Franco Eugeni

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.