R1 and level R1 separation axioms on intuitionistic fuzzy pairwise topological spaces using intuitionistic fuzzy open sets

This study investigates the notions of intuitionistic fuzzy (IF) R1 pairwise topological space and α-R1 type separation axioms on IF pairwise topological spaces in the sense of intuitionistic fuzzy open sets. We define four notions of IF R1 pairwise topological space and three notions of α-R1 IF pairwise topological spaces and show the relationship among the notions separately with appropriate examples. In order to show the correctness of the proposed definitions, we show the good extension property for both types of the notions followed by examples as well. Finally, we show that our notions satisfy the hereditary and preserve the homeomorphism mapping properties.