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(T; S)-based intuitionistic fuzzy composite matrix and its application

Menglei Lin, Han-Liang Huang

Abstract


In this paper, the problem of integration and identification for intuitionistic fuzzy information is discussed. The composite algorithm of intuitionistic fuzzy matrix based on triangular dual module is introduced. The notions and the properties of (T; S) ((T; S) denotes a triangular dual module) - intuitionistic fuzzy equivalence matrix and alfa-matrix are given. Then a new method for clustering with (T; S)-intuitionistic fuzzy informations is derived. The efficiency
of the proposed method is demonstrated by a numerical example.

Keywords


Intuitionistic fuzzy set(IFS); Triangular dual module; Intuitionistic fuzzy matrix(IFM); (T; S)- intuitionistic fuzzy equivalence matrix((T; S)-(IFEM); alfa- matrix based on intuitionistic fuzzy number.

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