Abstract: This paper is devoted to the study of intuitionistic fuzzy topological spaces. In this paper, we have introduced intuitionistic fuzzy πgg* contra continuous mappings. Also, we have studied some of their properties of intuitionistic fuzzy πgg* contra continuous mappings in intuitionistic fuzzy topological spaces. Identified few examples for intuitionistic fuzzy πgg* contra continuous mappings. Studied the cases of IF contra continuous mapping, IFS contra continuous mapping, IFP contra continuous mapping, IFcontra continuous mapping, IFγcontra continuous mapping, IFG contra continuous mapping and IFγ*G contra continuous mapping. Derived some properties of cT1/2 space. Also studied the case in gT1/2 space. Have done some analysis on the composition of two IFπgγ* contra continuous mappings.

Keywords: Intuitionistic fuzzy topology, intuitionistic fuzzy πgγ* closed set, intuitionistic fuzzy πgγ* continuous mapping and intuitionistic fuzzy πgγ* contra continuous mappings.

| DOI: 10.17148/IARJSET.2021.8664