Entropy of credibility distribution for intuitionistic fuzzy variable-Reference-Cited by-同舟云学术

Entropy of credibility distribution for intuitionistic fuzzy variable

Published:2023 Issue:4 Volume:8 Page:9671-9691
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhang Qiansheng¹,Liu Jingfa²

Affiliation:

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

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference34 articles.

1. M. D. Ansari, A. R. Mishra, F. T. Ansari, New divergence and entropy measures for intuitionistic fuzzy sets on edge detection, Int. J. Fuzzy Syst., 20 (2018), 474–487. https://doi.org/10.1007/s40815-017-0348-4

2. R. Bhardwaj, A. Sharma, N. Mani, K. Kumar, An intuitionistic fuzzy entropy measure and its application in multi-attribute decision making with incomplete weights information, In: Handbook of research on advances and applications of fuzzy sets and logic, IGI Global, 2022,324–338. https://doi.org/10.4018/978-1-7998-7979-4.ch015

3. T. Y. Chen, C. H. Li, Determining objective weights with intuitionistic fuzzy entropy measures: a comparative analysis, Inform. Sciences, 180 (2010), 4207–4222. https://doi.org/10.1016/j.ins.2010.07.009

4. A. De Luca, S. Termini, A definition of nonprobabilistic entropy in the setting of fuzzy set theory, Information and Control, 20 (1972), 301–312. https://doi.org/10.1016/S0019-9958(72)90199-4

5. B. Farhadinia, A. I. Ban, Developing new similarity measures of generalized intuitionistic fuzzy numbers and generalized interval-valued fuzzy numbers from similarity measures of generalized fuzzy numbers, Math. Comput. Model., 57 (2013), 812–825. https://doi.org/10.1016/j.mcm.2012.09.010