Intuitionistic fuzzy alpha-continuity and intuitionistic fuzzy precontinuity

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. Using the notion of intuitionistic fuzzy sets, Çoker [5] introduced the notion of intuitionistic fuzzy topological spaces. In this paper, we define the notion of intuitionistic fuzzy semiopen (resp., preopen and α-open) mappings and investigate relation among them. We give a characterization of intuitionistic fuzzy α-open set, and provide conditions for an IFS to be an intuitionistic fuzzy α-open set. We discuss characterizations of intuitionistic fuzzy precontinuous (resp., α-continuous) mappings. We give a condition for a mapping of IFTSs to be an intuitionistic fuzzy α-continuous mapping.