New entropy and distance measures of intuitionistic fuzzy sets

Jinfang Huang, Xin Jin, Dianwu Fang, Shin Jye Lee, Qian Jiang*, Shaowen Yao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In fuzzy set theory, the distance and entropy measure of intuitionistic fuzzy sets (IFSs) have received extensive concern because of the capability for handling imprecise or uncertain problems. However, most of the existing modeling methods for distance and entropy measure are imperfect in teams of intelligibility and performance. In this work, we proposed a new geometric modeling method that can be simultaneously used for distance and fuzzy entropy modeling of IFSs. We used rigorously mathematical derivation to prove that the proposed distance and fuzzy entropy measures satisfy the properties of the definitions. In the experiments, we applied the proposed distance and fuzzy entropy measure into pattern recognition, medical diagnosis, and multi-attribute decision making to examine the usability of the two measures in practical situations.

Original languageEnglish
Title of host publication2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728169323
DOIs
StatePublished - Jul 2020
Event2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020 - Glasgow, United Kingdom
Duration: 19 Jul 202024 Jul 2020

Publication series

NameIEEE International Conference on Fuzzy Systems
Volume2020-July
ISSN (Print)1098-7584

Conference

Conference2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020
Country/TerritoryUnited Kingdom
CityGlasgow
Period19/07/2024/07/20

Keywords

  • Distance measure
  • Entropy
  • Intuitionistic fuzzy set
  • Medical diagnosis
  • Multi-attribute decision making
  • Pattern recognition

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