Yet another axiomization of fuzzy set theory

Mark J. Wierman

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

1 Citation (Scopus)

Abstract

It has long been recognized that lattices allow for a generalization of many of the concepts of a fuzzy set. It is possible to generalize lattices to sets with an arbitrary relation if this relation has certain properties. While these properties induce a lattice they also point to an alternate mechanism to axiomatize fuzzy set theory. These axioms produce a simpler mathematical foundation for fuzzy set theory research.

Original languageEnglish
Title of host publicationNAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies
EditorsS.H. Dick, L. Kurgan, P. Musilek, W. Pedrycz, M. Reformat
Pages265-269
Number of pages5
Volume1
StatePublished - 2004
EventNAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies - Banff, Alta, Canada
Duration: Jun 27 2004Jun 30 2004

Other

OtherNAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies
CountryCanada
CityBanff, Alta
Period6/27/046/30/04

Fingerprint

Fuzzy set theory
Fuzzy sets

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Media Technology

Cite this

Wierman, M. J. (2004). Yet another axiomization of fuzzy set theory. In S. H. Dick, L. Kurgan, P. Musilek, W. Pedrycz, & M. Reformat (Eds.), NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies (Vol. 1, pp. 265-269)

Yet another axiomization of fuzzy set theory. / Wierman, Mark J.

NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies. ed. / S.H. Dick; L. Kurgan; P. Musilek; W. Pedrycz; M. Reformat. Vol. 1 2004. p. 265-269.

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

Wierman, MJ 2004, Yet another axiomization of fuzzy set theory. in SH Dick, L Kurgan, P Musilek, W Pedrycz & M Reformat (eds), NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies. vol. 1, pp. 265-269, NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies, Banff, Alta, Canada, 6/27/04.
Wierman MJ. Yet another axiomization of fuzzy set theory. In Dick SH, Kurgan L, Musilek P, Pedrycz W, Reformat M, editors, NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies. Vol. 1. 2004. p. 265-269
Wierman, Mark J. / Yet another axiomization of fuzzy set theory. NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies. editor / S.H. Dick ; L. Kurgan ; P. Musilek ; W. Pedrycz ; M. Reformat. Vol. 1 2004. pp. 265-269
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