Anti Fuzzy Equivalence Relation on Rings with Respect to t-conorm C

Abstract

In this paper, by using t-conorms, we define the concept of anti fuzzy equivalence relation and anti fuzzy congruence relation on ring R and we investigate some of their basic properties. Also we define fuzzy ideals of ring R under t-conorms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring. Next we investigate this concept under homomorphism of new introduced ring.

Norms on intuitionistic fuzzy multigroups

“…The concepts of intuitionistic fuzzy multiset and intuitionistic fuzzy multigroup are introduced in [22,23], which have applications in medical diagnosis and robotics. The author by using norms, investigated some properties of fuzzy algebraic structures [8][9][10][11][12][13][14][15][16][17]. The author [11] defined fuzzy multigroups under t-norms and explored some of their properties and got the related results.…”

Anti Q-fuzzy Subgroups under t-conorms

“…The triangular conorm (t-conorm) originated from the studies of probabilistic metric spaces [5,28] in which triangular inequalities were extended using the theory of t-conorm. The author by using norms, investigated some properties of fuzzy algebraic structures [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]. In Section 2, some preliminary definitions and results regarding multisets have been introduced.…”