Abstract
Zadeh's extension principle is applicable to functions defined upon elements of a set. It can be generalized to relations. Any crisp relation can be extended to a function on sets using crisp set theory. Two canonical methods for extending relations upon sets are presented. Equivalence between different extensions is studied. So are cutworthy and strong cutworthy extensions.
| Original language | English |
|---|---|
| Title of host publication | Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS |
| Publisher | IEEE |
| Pages | 292-294 |
| Number of pages | 3 |
| State | Published - 1997 |
| Event | Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97 - Syracuse, NY, USA Duration: Sep 21 1997 → Sep 24 1997 |
Other
| Other | Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97 |
|---|---|
| City | Syracuse, NY, USA |
| Period | 9/21/97 → 9/24/97 |
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All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology
Cite this
Total extension of set functions and relations. / Wierman, Mark J.
Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, 1997. p. 292-294.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Total extension of set functions and relations
AU - Wierman, Mark J.
PY - 1997
Y1 - 1997
N2 - Zadeh's extension principle is applicable to functions defined upon elements of a set. It can be generalized to relations. Any crisp relation can be extended to a function on sets using crisp set theory. Two canonical methods for extending relations upon sets are presented. Equivalence between different extensions is studied. So are cutworthy and strong cutworthy extensions.
AB - Zadeh's extension principle is applicable to functions defined upon elements of a set. It can be generalized to relations. Any crisp relation can be extended to a function on sets using crisp set theory. Two canonical methods for extending relations upon sets are presented. Equivalence between different extensions is studied. So are cutworthy and strong cutworthy extensions.
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UR - http://www.scopus.com/inward/citedby.url?scp=0031387056&partnerID=8YFLogxK
M3 - Conference contribution
SP - 292
EP - 294
BT - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
PB - IEEE
ER -