Fuzzy g∗ − Irresolute and Fuzzyg ∗ −Homomorphism Maps in Fuzzy Topological Spaces

Abstract

The aim of this paper is to introduce new class of Fuzzy set, namely, fuzzy ???? ∗ - closed set in 
Fuzzy topological spaces (fts). Investigated fuzzy  ????− ∗ continuous mapping, 
fuzzy????− ∗ irresolute mapping, fuzzy ????− ∗ closed maps, fuzzy ????− ∗ open maps and fuzzy 
�
�− ∗ homeomorphism mappings. Also introduced, studied some of their properties in Fuzzy 
topological spaces with necessary counter examples. Further this work can be used to 
model and analyze fuzzy control systems where the input and output spaces are fuzzy. 
fuzzy ????− ∗ homeomorphism mappings can help in translating fuzzy predicates and 
propositions from one domain to another, preserving their fuzzy logical structure. fuzzy 
�
�− ∗ homeomorphism mappings ca also be used to map data points between different fuzzy 
topological spaces, allowing for consists data transformations and interpretation with 
respect to the analyses of data with inherent uncertainty.