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

Authors

  • Rasul Rasuli Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

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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Published

2019-04-20

How to Cite

Rasuli, R. (2019). Fuzzy Equivalence Relation, Fuzzy Congrunce Relation and Fuzzy Normal Subgroups on Group G Over T-Norms. Asian Journal of Fuzzy and Applied Mathematics, 7(2). https://doi.org/10.24203/ajfam.v7i2.5736

Issue

Vol. 7 No. 2 (2019): April 2019

Section

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