A thorough study of interrelationship in fuzzy implication axioms

Research output: Contribution to report/book/conference proceedingsIn-proceedings paper

Authors

  • Yun Shi
  • Bart Van Gasse
  • Da Ruan
  • Etienne Kerre

Institutes & Expert groups

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Abstract

A fuzzy implication is an extension of the classical binary implication in fuzzy logic that plays an important role in the approximate reasoning process and in decision making applications. It should satisfy different potential axioms, among which eight axioms are most important. Different authors have investigated the dependence and independence of the eight axioms but the investigation is yet not complete. We study a complete interrelationship of all the eight axioms, and give for each independence case a counter-example.

Details

Original languageEnglish
Title of host publicationIntelligent Decision Making Systems
Place of PublicationSingapore, Singapore
Pages52-57
Volume1
Publication statusPublished - Nov 2009
EventThe 4th Int. ISKE Conference on Intelligent Decision Making Systems - Hasselt, Belgium
Duration: 27 Nov 200928 Nov 2009

Publication series

NameComputer Engineering and Information Science
Number2

Conference

ConferenceThe 4th Int. ISKE Conference on Intelligent Decision Making Systems
CountryBelgium
CityHasselt
Period2009-11-272009-11-28

Keywords

  • fuzzy implications, fuzzy implication axioms, approximate reasoning

ID: 65078