The aim of this paper is to introduce the concepts of an intuitionistic fuzzy-γ-retract and an intuitionistic fuzzy-R-retract. Some characterizations of these new concepts are presented. Examples are given, and properties are established. Also, we study the concepts of interval-valued intuitionistic almost (near) compactness and define S1-regular spaces. We prove that if an intuitionistic fuzzy topological space is an S1-regular space and interval-valued intuitionistic almost (near) compact, then it is interval-valued intuitionistic compact.
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