Yet another axiomization of fuzzy set theory

Mark J. Wierman

Conference paper

Yet another axiomization of fuzzy set theory

Mark J. Wierman

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, 06/27/2004 - 06/30/2004)

2004

Abstract

Computer Science(all)

Media Technology

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.

Metrics

5 Record Views

Details

Title: Yet another axiomization of fuzzy set theory
Creators: Mark J. Wierman (Author) - Department of Computer Science, Design & Journalism
Additional links: Clark, Terry D.; Potter, Joshua D.; Larson, Jennifer M.; Mordeson, John N.; Wierman, Mark J.; Dick, S.H.; Kurgan, L.; Musilek, P.; Pedrycz, W.; Reformat, M.; Szeto, Andrew Y.J.; Rangayyan, Rangaraj M.
Publication Details: 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
Conference: NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies (Banff, Alta, Canada, 06/27/2004 - 06/30/2004)
Series: 1
Number of pages: 5
Identifiers: 991005929529402656
Academic Unit: Computer Science, Design and Journalism
Language: English
Resource Type: Conference paper

Yet another axiomization of fuzzy set theory

Abstract

Related links

Metrics

Details