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

author

  • H. L HUANG 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 areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{alpha}-$matrix for clustering is developed.Finally, an example is given to demonstrate our method.

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Journal title

volume 9  issue 5

pages  7- 19

publication date 2012-12-26

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