JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (1): 34-40.

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A clustering method based on 18-element linguistic-valued fuzzy similar matrix

ZHANG Yun-xia, CUI Xiao-song, ZOU Li*   

  1. School of Computer and Information Technology, Liaoning Normal University, Dalian 116081, China
  • Received:2012-12-05 Online:2013-02-20 Published:2012-12-05

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Abstract:

Based on the 18-element linguistic-valued lattice implication algebra, the linguistic-valued fuzzy similarity of linguistic-valued fuzzy set was proposed. In addition, the calculating formular for average linguistic-valued fuzzy similarity was given and its reasonability was proved. Furthermore, the linguistic-valued fuzzy similar matrix, linguistic-valued fuzzy equivalent matrix and λ-cut matrix of linguistic-valued fuzzy matrix were constructed. Finally, a new fuzzy clustering method based on linguistic-valued fuzzy similar matrix was proposed, and an example was given to illustrate its effectivity in fuzzy clustering problem.

Key words: linguistic-valued fuzzy clustering analysis, linguistic-valued fuzzy matrix, linguistic-valued fuzzy sets, linguistic-valued fuzzy similar matrix

CLC Number: 

  • TP391
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