On Some Theoretic Aspects of Fuzzy Subsets

Abstract

Abstract: This article proposes some important theoretic aspects of L -fuzzy power set of a finite set. Here, we take a non-empty finite set E and an ordered subset M of the closed interval 0,1, then the set of mappings from E to M denoted by F is defined as L -fuzzy power set. Considering the disjunctive union ‘ ’ operations between fuzzy subsets of F , the structure F,forms a groupoid, which is defined as special fuzzy groupoid. Later, we try to introduce the product of special fuzzy groupoids and their properties