Some New Operations on Triangular Fuzzy Number Intuitionistic Fuzzy Set

Triangular fuzzy number intuitionistic fuzzy set is one of the extensions of Atanassov's intuitionistic fuzzy set (A-IFS). The main purpose of this paper is to define some basic operations including "addition", "multiplication", "number multiplication" , "fuzzy number multiplication" and "fuzzy number power" of triangular fuzzy number intuitionistic fuzzy set. Furthermore, we also prove some propositions concerning laws and properties of these operations and present some examples in this context. Investigations show that our proposed operations for TFNIFSs are generalizations of those of A-IFS. The proposed operations constitutes solid foundation for triangular fuzzy number intuitionistic fuzzy information aggregation and decision making application.