BEAL’S FUZZY NORMAL SUBGROUP STRUCTURES WITH RESPECT TO (MIN, MAX)– NORMS

BEAL’S FUZZY NORMAL SUBGROUP STRUCTURES WITH RESPECT TO (MIN, MAX)– NORMS

K. Balasubramaniyan, C. Dilly Rani

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Abstract

In this paper, we study a new kind of Beal’s fuzzy subgroup with respect to suitable norms. we strongest relation, cosets and middle cosets of beal’s fuzzy subgroup of a group with respect to norms. Also, we investigate equivalent characterizations of them and we construct a new group called Beal’s fuzzy normal subgroup induced by them. Finally, we present the homomorphism theorem and discuss the preimage between them.

Keywords

Fuzzy set, Beal’s fuzzy set, Beal’s fuzzy subgroup, Normal subgroup, Relations, coset, middle coset, homomorphism, pre-image, norms.