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 |
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All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Yet another axiomization of fuzzy set theory
AU - Wierman, Mark J.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=4544342227&partnerID=8YFLogxK
M3 - Conference contribution
VL - 1
SP - 265
EP - 269
BT - NAFIPS 2004 - Annual Meeting of the North American Fuzzy Information Processing Society: Fuzzy Sets in the Heart of the Canadian Rockies
A2 - Dick, S.H.
A2 - Kurgan, L.
A2 - Musilek, P.
A2 - Pedrycz, W.
A2 - Reformat, M.
ER -