ON (L , M)-FUZZY CONVEX STRUCTURES

Abstract

This paper defines a new class of L-fuzzy sets called r-L-fuzzy biconvex sets in (L , M)-fuzzy convex structures (X , C), where C is an (L , M)-fuzzy convexity on X, and their some properties were studied. In addition, we introduce (L , M)-fuzzy topological convexity space and study some of its properties. Finally, we introduce a locally (L , M)-fuzzy topology (L , M)-fuzzy convexity space and study some of its properties.