T,S)-BASED INTERVAL-VALUED INTUITIONISTIC FUZZY COMPOSITION MATRIX AND ITS APPLICATION FOR CLUSTERING

Abstract. In this paper, the notions of (T, S)-composition matrix and (T, S)- interval-valued intuitionistic fuzzy equivalence matrix are introduced where (T, S) is a dual pair of triangular module. They are the generalization of composition matrix and interval-valued intuitionistic fuzzy equivalence matrix. Furthermore, their properties and characterizations are presented. Then a new method based on -matrix for clustering is developed. Finally, an example is given to demonstrate our method.