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 |
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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 |
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Country/Territory | Canada |
City | Banff, Alta |
Period | 6/27/04 → 6/30/04 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology