(r,s)-fuzzy minimal structures and (r,s)-fuzzy minimal spaces

Abstract

In this paper, we introduce the concept of (r,s)-fuzzy minimal structure which is an extension of intuitionistic gradation of openness introduced by Samanta and Mondal (2002). Also, we introduce and study the concepts of (r,s)-fuzzy M continuity and several types of (r,s)-fuzzy minimal compactness on (r,s)-fuzzy minimal spaces.