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Intuitionistic fuzzy similarity measures reasoning method based on inclusion degrees

WANG Yi1,2, LIU Sanyang1, ZHANG Wen2, MENG Feixiang2   

  1. (1. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China; 
    2. Air Defense and Antimissile Institute, Air Force Engineering University, Xi’an 710051, China)
  • Online:2014-03-24 Published:2010-01-03

Abstract:

As to the present situation that most of similarity measures of intuitionistic fuzzy sets are based on measuring the distance, a method of intuitionistic fuzzy similarity measures reasoning based on inclusion degrees is proposed. Based on fuzzy implication operators and cardinal numbers, a series of intuitionistic fuzzy inclusion degrees sets is set up, and by defining strong similarity measures based on inclusion degrees, some properties related to strong similarity measures are put forward, and the relationship between inclusion degrees and similarity is revealed. Accordingly, a method of intuitionistic fuzzy similarity measures reasoning based on inclusion degrees is proposed due to introducing intuitionistic fuzzy similarity measures into intuitionistic fuzzy reasoning. The superiority and discriminatory power of methods of intuitionistic fuzzy similarity measures reasoning based on inclusion degrees are presented compored with 10 methods and typical experimental data. And the reasoning results of experimental target samples prove that the advantage of the proposed method is accurate for calculation.

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