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AIMS Mathematics

2023, Volume 8, Issue 4: 9671-9691. doi: 10.3934/math.2023488
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Research article

Entropy of credibility distribution for intuitionistic fuzzy variable

  • 1.
    School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, China
  • 2.
    School of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510006, China
  • Received: 05 November 2022 Revised: 13 January 2023 Accepted: 28 January 2023 Published: 21 February 2023

  • MSC : 03E72

  • This paper handles the new information entropy measure and divergence measure associated with intuitionistic fuzzy variables (IFVs). Based on credibility distribution and credibility measure of intuitionistic fuzzy variable, the credibility entropy formulas of discrete and continuous IFVs are proposed and some of their properties are investigated. The cross-entropy of intuitionistic fuzzy variable and its relationship with credibility entropy are then discussed. Finally, some numerical examples are given to illustrate the practicability of the presented credibility entropy and cross-entropy of intuitionistic fuzzy variable. Also, we make some comparative analysis on the credibility cross-entropy measure and some existing distance measures of IFVs in the pattern recognition problem.

    Citation: Qiansheng Zhang, Jingfa Liu. Entropy of credibility distribution for intuitionistic fuzzy variable[J]. AIMS Mathematics, 2023, 8(4): 9671-9691. doi: 10.3934/math.2023488

    Related Papers:

  • This paper handles the new information entropy measure and divergence measure associated with intuitionistic fuzzy variables (IFVs). Based on credibility distribution and credibility measure of intuitionistic fuzzy variable, the credibility entropy formulas of discrete and continuous IFVs are proposed and some of their properties are investigated. The cross-entropy of intuitionistic fuzzy variable and its relationship with credibility entropy are then discussed. Finally, some numerical examples are given to illustrate the practicability of the presented credibility entropy and cross-entropy of intuitionistic fuzzy variable. Also, we make some comparative analysis on the credibility cross-entropy measure and some existing distance measures of IFVs in the pattern recognition problem.


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  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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