Door Spaces in Intuitionistic Fuzzy Topological Spaces

Abstract

In this study, a new concept of generalized intuitionistic fuzzy topological space, called intuitionistic fuzzy b ∼ -door space, is introduced and several characterizations of intuitionistic fuzzy b ∼ -door spaces are analyzed. Many examples were introduced to prove the validity of these concepts. Moreover, certain properties and relationships between intuitionistic fuzzy b ∼ -door spaces and other intuitionistic fuzzy topological spaces were investigated.