A New Interval-Valued Fuzzy Entropy Based on Interval-Valued Q-Rung Orthopair Fuzzy Sets

• Published in: Frontiers in Artificial Intelligence and Applications
• Main Author: Zheng Y.; Qin H.; Ma X.; Wang Y.
• Format: Conference paper
• Language: English
• Published: IOS Press BV 2023
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85181056846&doi=10.3233%2fFAIA231069&partnerID=40&md5=9a707ff6110f35e82b1ecc857b34d2b1

As an extension of fuzzy sets, the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) is a powerful tool for dealing with uncertainty problems. Furthermore, fuzzy entropy is a crucial indicator to measure the fuzzy degree of fuzzy sets. However, the current fuzzy entropy of IVq-ROFSs have some disadvantages. First, for some interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs), the existing fuzzy entropy cannot accurately measure the fuzzy degree. Second, it is not a reasonable method to utilize exact values as fuzzy entropy in the form of interval values. In this paper, the fuzzy entropy of IVq-ROFSs is characterized by interval values. The axiomatic definitions of IVq-ROFSs fuzzy entropy is given. Strict mathematical proof and a numerical example verify that the proposed axiomatic definition of fuzzy entropy is complete and avoids the loss of interval-valued fuzzy information. © 2023 The authors and IOS Press.