Fuzzy Multi-Hypergroups

A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of fuzzy hypergroups. Different operations on fuzzy multi-hypergroups are defined and discussed and some results known for fuzzy hypergroups are generalized to fuzzy multi-hypergroups.

[1]  Bijan Davvaz,et al.  Fuzzy multi-polygroups , 2020, J. Intell. Fuzzy Syst..

[2]  Bijan Davvaz,et al.  Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings , 2019, Symmetry.

[3]  Bijan Davvaz,et al.  A new class of n-ary hyperoperations , 2015, Eur. J. Comb..

[4]  Junjie Yang,et al.  Convex Aggregation Operators and Their Applications to Multi-Hesitant Fuzzy Multi-Criteria Decision-Making , 2018, Inf..

[5]  Bijan Davvaz,et al.  Fuzzy Algebraic Hyperstructures - An Introduction , 2015, Studies in Fuzziness and Soft Computing.

[6]  Irina Cristea.  Fuzzy Subhypergroups Degree , 2016, J. Multiple Valued Log. Soft Comput..

[7]  B. O. Onasanya,et al.  Some Topological and Algebraic Properties of α-level Subsets’ Topology of a Fuzzy Subset , 2018, Analele Universitatii "Ovidius" Constanta - Seria Matematica.

[8]  Giovanni Lo Faro,et al.  On Hypergroups with a β-Class of Finite Height , 2020, Symmetry.

[9]  Irina Cristea,et al.  FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS , 2009 .

[10]  B. K. Tripathy,et al.  On the theory of bags and lists , 2001, Inf. Sci..

[11]  Š. Hošková-Mayerová,et al.  A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyperstructures , 2017 .

[12]  Babatunde Oluwaseun Onasanya,et al.  Results on Functions on Dedekind Multisets , 2019, Symmetry.

[13]  Seifedine Kadry,et al.  Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies , 2019, Mathematics.

[14]  Bijan Davvaz,et al.  Fuzzy Hv-groups , 1999, Fuzzy Sets Syst..

[15]  R. Yager.  ON THE THEORY OF BAGS , 1986 .

[16]  Sanjay Kumar,et al.  Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems , 2017 .