JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 43-53.doi: 10.6040/j.issn.1671-9352.0.2019.038

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Information measures of interval valued Pythagorean fuzzy sets and their applications

SUN Qian-qian, LI Xiao-nan*   

  1. School of Mathematics and Statistics, Xidian University, Xian 710071, Shaanxi, China
  • Online:2019-09-20 Published:2019-07-30

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Abstract: Entropy, distance and similarity are important information measurement tools in fuzzy sets and their generalization theories. The information metrics research based on interval valued Pythagorean fuzzy sets mostly involves the distance formula of interval valued Pythagorean fuzzy numbers, and rarely involves metrics of ambiguity and similarity. In view of this situation, firstly, the axiomatization definition of entropy, distance and similarity of interval valued Pythagorean fuzzy sets is first proposed. Then study the relationship between entropy, distance and similarity. Finally, the entropy and similarity of the interval valued Pythagorean fuzzy set are applied to the field of pattern recognition. Comparative analysis shows the flexibility and effectiveness of the proposed measures.

Key words: interval valued Pythagorean fuzzy set, entropy, distance, similarity, pattern recognition

CLC Number: 

  • O159
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