Fuzzy implications and inference processes

József Tick, János Fodor

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We define fuzzy implications in general, then study their families defined from t-norms, t-conorms and strong negations. Connections between such implications and negations are established. Some basic results are presented concerning the contrapositive symmetry property. The study gives birth to a new class of t-norms. Members of this family, together with the corresponding R-implications, have attractive properties making them competitive in different applications, especially in fuzzy inference rules.

Original languageEnglish
Pages (from-to)591-602
Number of pages12
JournalComputing and Informatics
Volume24
Issue number6
Publication statusPublished - Dec 1 2005

Keywords

  • Fuzzy inference
  • Implications
  • Nilpotent minimum
  • t-norms and t-conorms

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications
  • Computational Theory and Mathematics

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