# Fuzzy Equivalence Relation, Fuzzy Congrunce Relation and Fuzzy Normal Subgroups on Group G Over T-Norms

## DOI:

https://doi.org/10.24203/ajfam.v7i2.5736## Keywords:

Fuzzy set theory, norms, groups, congruence relations, homomorphisms, direct## Abstract

In this study, by using *t*-norms, fuzzy equivalence relation, fuzzy congrunce relation on group *G*, fuzzy relation of subgroup *H *of group *G*, fuzzy normal subgroups of fuzzy subgroups, direct product of fuzzy subgroups(normal fuzzy subgroups) are introduced and some the their properties will be discussed. Next by using group homomorphisms, the image and pree image of them will be investigated.

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*Asian Journal of Fuzzy and Applied Mathematics*,

*7*(2). https://doi.org/10.24203/ajfam.v7i2.5736

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