Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t-Norms

Abstract

In this paper we introduce and investigate some properties of fuzzy sub-vector spaces and fuzzy sub-bivector spaces by using t-norms and consider some of their properties and structured characteristics. Also we define some concepts as intersection, sum and linear transformations for fuzzy sub-vector spaces by using t-norms and obtain some results and we establish some of their properties about them and give several examples to illustrate the obtained 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.…”

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

“…In mathematics, an equivalence relation is a binary relation that is 3 t-conorms may of course frequently occur in further disciplines of mathematics, since the class contains many familiar functions. The author by using norms, investigated some properties of fuzzy algebraic structures [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]. The purpose of this paper is to deal with the anti fuzzy congruence and equivalence relation on rings with respect to t-conorms, homomorphisms and isomorphisms of them.…”