Direct Product of Fuzzy Multigroups

Year 2019, Issue: 28, 62 - 73, 07.05.2019

Paul Augustine Ejegwa

Abstract

The paper introduces direct product in fuzzy multigroup setting as an extension of  direct product of fuzzy subgroups.   Some properties of  direct product of fuzzy multigroups are explicated. It is established that the direct product of fuzzy multigroups is a fuzzy multigroup.  The notion of homomorphism and some of its properties in the context of direct product of fuzzy multigroups are introduced.

Keywords

Fuzzy multisets, Fuzzy multigroups, Direct product of fuzzy multigroups

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