Non-standard connectives in fuzzy logic

J. Fodor, Tibor Keresztfalvi

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

1 Citation (Scopus)

Abstract

A general approach is suggested to revise axiomatics of connectives in fuzzy logic. The study is carried out by solving functional equations for conjunctions. Then, starting from a t-norm, new families of fuzzy conjunctions and implications are introduced. Those t-norms are completely characterized for which R-implications and S-implications defined by any conjunction of the above family coincide. This study is carried out by solving a functional equation for t-norms, providing a new characterization of the Hamacher's family of t-norms.

Original languageEnglish
Title of host publication1993 IEEE International Conference on Fuzzy Systems
PublisherPubl by IEEE
Pages1055-1058
Number of pages4
ISBN (Print)0780306155
Publication statusPublished - 1993
EventSecond IEEE International Conference on Fuzzy Systems - San Francisco, CA, USA
Duration: Mar 28 1993Apr 1 1993

Other

OtherSecond IEEE International Conference on Fuzzy Systems
CitySan Francisco, CA, USA
Period3/28/934/1/93

Fingerprint

Fuzzy logic

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Fodor, J., & Keresztfalvi, T. (1993). Non-standard connectives in fuzzy logic. In 1993 IEEE International Conference on Fuzzy Systems (pp. 1055-1058). Publ by IEEE.

Non-standard connectives in fuzzy logic. / Fodor, J.; Keresztfalvi, Tibor.

1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, 1993. p. 1055-1058.

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

Fodor, J & Keresztfalvi, T 1993, Non-standard connectives in fuzzy logic. in 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, pp. 1055-1058, Second IEEE International Conference on Fuzzy Systems, San Francisco, CA, USA, 3/28/93.
Fodor J, Keresztfalvi T. Non-standard connectives in fuzzy logic. In 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE. 1993. p. 1055-1058
Fodor, J. ; Keresztfalvi, Tibor. / Non-standard connectives in fuzzy logic. 1993 IEEE International Conference on Fuzzy Systems. Publ by IEEE, 1993. pp. 1055-1058
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