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A New Entropy and Its Properties Based on the Improved Axiomatic Definition of Intuitionistic Fuzzy Entropy

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  • Dengying Jiang
  • Yaxiong Wang

Abstract

Regarding the problem of the existing intuitionistic fuzzy entropy formulas in ordering the partial entropy, the constraint condition that is consistent with the intuitionistic facts is proposed in this paper, the axiomatic definition of entropy which fully reflects the intuition and fuzziness of intuitionistic fuzzy sets is given, and the improved intuitionistic fuzzy entropy formula is constructed according to the entropy axiomatic definition and its properties are studied. Finally, we compare the improved formula with the existing intuitionistic fuzzy entropy formulas, and the result turns out that the improved formula can solve the problem in the entropy ordering theoretically and practically.

Suggested Citation

  • Dengying Jiang & Yaxiong Wang, 2018. "A New Entropy and Its Properties Based on the Improved Axiomatic Definition of Intuitionistic Fuzzy Entropy," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-6, September.
  • Handle: RePEc:hin:jnlmpe:7606801
    DOI: 10.1155/2018/7606801
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    Cited by:

    1. Xumei Yuan & Cuicui Zheng, 2022. "Improved Intuitionistic Fuzzy Entropy and Its Application in the Evaluation of Regional Collaborative Innovation Capability," Sustainability, MDPI, vol. 14(5), pages 1-14, March.

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