On the \(n^∗\)− and \(γ_{n}^{∗}\)− complete fuzzy hypergroups

Authors

  • N. Fahimi Golestan University - Department of Mathematics
  • T. Nozari Golestan University - Department of Mathematics
  • R. Mahjoob Semnan University - Department of Statistics and Computer Science

Keywords:

fuzzy hypergroup, n\(^∗\)− complete fuzzy hypergroup, γ\(_{n}^{∗}\)− complete fuzzy hypergroup

Abstract

We extend the fuzzy approach of algebraic hyperstructures to the context of complete fuzzy hypergroups.  In this paper we introduce the classes of n\(^∗\)− complete fuzzy hypergroups and γ\(_{n}^{∗}\)− complete fuzzy hypergroups which they are generalizations of two important classes of hypergroups, also we find some properties of them.  Finally, we study 2\(^∗\)− complete fuzzy hypergroups and give some properties and examples in this regard.

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Published

2020-02-14

How to Cite

Fahimi, N., Nozari, T., & Mahjoob, R. (2020). On the \(n^∗\)− and \(γ_{n}^{∗}\)− complete fuzzy hypergroups. Italian Journal of Pure and Applied Mathematics, 43, 320–330. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7338

Issue

Section

Articoli - Forum Editrice

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