Non-conventional conjunctions and implications in fuzzy logic

J. Fodor, Tibor Keiesztfalvi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

First, we make some remarks concerning the definition of connectives in fuzzy logic. We point out possible disadvantages of considering exclusively t-norms and t-conorms as proper models for the conjunction and disjunction. Coincidence of S- and It-implications is investigated by solving functional equations for conjunctions. Then, we suggest a constructive approach to axiomatics of the generalized modus ponens (GMP). Besides a special model, a particular class of conjunctions satisfying the axioms for GMP and based on the Hamacher family of t-norms is also characterized. On the other hand, the coincidence of R- and S-implications defined by the members of this class is verified.

Original languageEnglish
Title of host publicationFuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings
PublisherSpringer Verlag
Pages16-26
Number of pages11
ISBN (Print)9783540569206
Publication statusPublished - Jan 1 1993
Event8th Austrian Artificial Intelligence Conference on Fuzzy Logic, FLAI 1993 - Linz, Austria
Duration: Jun 28 1993Jun 30 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume695 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other8th Austrian Artificial Intelligence Conference on Fuzzy Logic, FLAI 1993
CountryAustria
CityLinz
Period6/28/936/30/93

Fingerprint

Generalized Modus Ponens
T-norm
Coincidence
Fuzzy Logic
Fuzzy logic
T-conorms
Axioms
Functional equation
Model
Class

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Fodor, J., & Keiesztfalvi, T. (1993). Non-conventional conjunctions and implications in fuzzy logic. In Fuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings (pp. 16-26). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 695 LNAI). Springer Verlag.

Non-conventional conjunctions and implications in fuzzy logic. / Fodor, J.; Keiesztfalvi, Tibor.

Fuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings. Springer Verlag, 1993. p. 16-26 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 695 LNAI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fodor, J & Keiesztfalvi, T 1993, Non-conventional conjunctions and implications in fuzzy logic. in Fuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 695 LNAI, Springer Verlag, pp. 16-26, 8th Austrian Artificial Intelligence Conference on Fuzzy Logic, FLAI 1993, Linz, Austria, 6/28/93.
Fodor J, Keiesztfalvi T. Non-conventional conjunctions and implications in fuzzy logic. In Fuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings. Springer Verlag. 1993. p. 16-26. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Fodor, J. ; Keiesztfalvi, Tibor. / Non-conventional conjunctions and implications in fuzzy logic. Fuzzy Logic in Artificial Intelligence - 8th Austrian Artificial Intelligence Conference, FLAI 1993, Proceedings. Springer Verlag, 1993. pp. 16-26 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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