Some fuzzy multigroups obtained from fuzzy subgroups

Authors

  • Saeed Mirvakili Department of Mathematics, Payame Noor University
  • Hossein Naraghi Department of Mathematics, Payame Noor University
  • Maryam Shirvani Department of Mathematics, Payame Noor University
  • Peyman Ghiasvand Department of Mathematics, Payame Noor University

Keywords:

Fuzzy multigroup, fuzzy group, fuzzy multiset, multigroup, multiset

Abstract

In this paper, first we produce a fuzzy multigroup from a fuzzy subgroup of a group $G$ and we show that there is a relationship between a fuzzy multigroup with underlying group $G$ and a fuzzy multigroup with underlying group $Aut(A)$. Moreover, we generate a code by using the defined special fuzzy multigroup automorphisms

Author Biographies

Saeed Mirvakili, Department of Mathematics, Payame Noor University

Associate Professor

Hossein Naraghi, Department of Mathematics, Payame Noor University

Doctoral Candidate (PhD student) in Mathematics

Maryam Shirvani, Department of Mathematics, Payame Noor University

Assistant Professor

Peyman Ghiasvand, Department of Mathematics, Payame Noor University

Assistant Professor

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Published

2021-08-27

Issue

Section

Vol. 16, No. 4, (2022)