Some fuzzy multigroups obtained from fuzzy subgroups

Author(s):

Saeed Mirvakili , Hossein Naraghi , Maryam Shirvani , Peyman Ghiasvand

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we first study fuzzy subgroups and fuzzy multigroups of a group G and we obtain some chains of fuzzy subgroups of a fuzzy subgroup and by these sequences, we construct fuzzy multi- groups. 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.

Keywords:

Fuzzy multigroup , fuzzy subgroup , fuzzymultiset

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 4, Apr 2022
Page:
4
https://www.magiran.com/p2372586