Some remarks on the theories of triangular intuitionistic fuzzy sets and its application in two-sided matching

Yue et al. [1] presented some theories of triangular intuitionistic fuzzy numbers (TIFNs) and sets (TIFSs) in Alexandria Engineering Journal. These have not been proved the above reference; hence they are this paper. In addition, paper also provides novel theorems related proofs on TIFNs TIFSs. Moreover, applied field two-sided matching decision-making. A numerical case is adopted for demonstrating effectiveness proposed method. This work will effectively complement TIFSs, popularize their application scope.