Certain fuzzy hyperstructures from a fuzzy set

Article type: Research Article

Authors: Onasanya, B.O.^{a; b} | Atamewoue, T.S.^c | Hoskova-Mayerova, S.^{d; *}

Affiliations: [a] Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education, Chongqing Three Gorges University, Wanzhou, P. R. China | [b] Department of Mathematics, University of Ibadan, Ibadan, Oyo State, Nigeria | [c] Department of Mathematics, University of Yaounde, Yaounde, Cameroon | [d] Department of Mathematics and Physics, University of Defence, Brno, Czech Republic

Correspondence: [*] Corresponding author. S. Hoskova-Mayerova, Department of Mathematics and Physics, University of Defence, 662 10 Brno, Czech Republic. E-amil: sarka.mayerova@unob.cz.

Abstract: Fuzzy set theory and also the hypergroups in the sense of Marty are both generalizations of some existing mathematical concepts which are used for modeling many real life situations. The main purpose of this paper is the study of the link between fuzzy sets and fuzzy hypergroups and fuzzy semihypergroups. As a matter of fact, some commutative fuzzy hypergroups and fuzzy semihypergroups have been constructed from fuzzy set and some of their properties were investigated.

Keywords: Hypergroup, fuzzy sets, fuzzy hypergroup

DOI: 10.3233/JIFS-191054

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 2775-2782, 2020