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

Document Type : Research Paper

Author

Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, China

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 $tilde{alpha}-$matrix for clustering is developed.
Finally, an example is given to demonstrate our method.

Keywords


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