A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties

Murat Ozcek

Gaziantep University, Department of Mathematics, Gaziantep, Turkey

Abstract

The purpose of this paper is construct the concept of fuzzy regular proper mapping in fuzzy topological spaces. We give some characterization of fuzzy regular compact mapping and fuzzy regular coercive mapping. We study the relation among the concepts of
fuzzy regular proper mapping, fuzzy regular compact mapping and fuzzy regular coercive mapping and we obtained several properties.

Keywords: Fuzzy set; regular mapping; Fuzzy topological space; fuzzy subset.