(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<br />$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix are<br />introduced where $(T,S)$ is a dual pair of triangular module. They<br />are the generalization of composition matrix and interval-valued<br />intuitionistic fuzzy equivalence matrix. Furthermore, their<br />properties and characterizations are presented. Then a new method<br />based on $tilde{alpha}-$matrix for clustering is developed.<br />Finally, an example is given to demonstrate our method.