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11.06.2019 | Methodologies and Application

A fuzzy application of the group \(\mathbb {Z}_n\) to complete hypergroups

verfasst von: Irina Cristea, Elhan Hassani Sadrabadi, Bijan Davvaz

Erschienen in: Soft Computing | Ausgabe 5/2020

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Abstract

The purpose of this paper is the study of intuitionistic fuzzy subhypergroups of some special finite complete hypergroups. More exactly, in this paper we determine all m-tuples, characterizing the considered complete hypergroups, such that the grade intuitionistic fuzzy set \((\overline{\mu },\overline{\lambda })\) is an intuitionistic fuzzy subhypergroup of such hypergroups. Here, we deal with complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo \(p^2\) or modulo pq, with p and q distinct odd primes. This article is a continuation of a previous work, concerning the complete hypergroups obtained from groups isomorphic with the additive groups of integers modulo p or modulo 2p, with p a prime number. It represents the starting point, the mathematical base, for writing a general algorithm for characterizing all complete hypergroups obtained from a group G and having the grade intuitionistic fuzzy set as an intuitionistic fuzzy subhypergroup.

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Titel: A fuzzy application of the group to complete hypergroups
verfasst von: Irina Cristea
Elhan Hassani Sadrabadi
Bijan Davvaz
Publikationsdatum: 11.06.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 5/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-019-04121-0

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