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 language | English |
|---|---|
| Title of host publication | NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies |
| Editors | S.H. Dick, L. Kurgan, P. Musilek, W. Pedrycz, M. Reformat |
| Pages | 265-269 |
| Number of pages | 5 |
| Volume | 1 |
| State | Published - 2004 |
| Event | NAFIPS 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 2004 → Jun 30 2004 |
Other
| Other | NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies |
|---|---|
| Country | Canada |
| City | Banff, Alta |
| Period | 6/27/04 → 6/30/04 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology
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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)