Abstract
In this note, we experiment with developing fuzzy geometry by a limiting process of the notion of fuzzy sphere whose degree of circularity is measured by a fuzzy set, called a circularity function. The partial order and operators, union, intersection, and complement, are defined on fuzzy spheres. We show that the circularity function of a fuzzy sphere converges to one of a crisp sphere as the fuzzy sphere shapes itself more and more like a crisp sphere.
| Original language | English |
|---|---|
| Title of host publication | Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS |
| Publisher | IEEE |
| Pages | 268-272 |
| Number of pages | 5 |
| 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
Fuzzy spheres. / Cheng, Shih-Chuan; Mordeson, John N.
Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, 1997. p. 268-272.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Fuzzy spheres
AU - Cheng, Shih-Chuan
AU - Mordeson, John N.
PY - 1997
Y1 - 1997
N2 - In this note, we experiment with developing fuzzy geometry by a limiting process of the notion of fuzzy sphere whose degree of circularity is measured by a fuzzy set, called a circularity function. The partial order and operators, union, intersection, and complement, are defined on fuzzy spheres. We show that the circularity function of a fuzzy sphere converges to one of a crisp sphere as the fuzzy sphere shapes itself more and more like a crisp sphere.
AB - In this note, we experiment with developing fuzzy geometry by a limiting process of the notion of fuzzy sphere whose degree of circularity is measured by a fuzzy set, called a circularity function. The partial order and operators, union, intersection, and complement, are defined on fuzzy spheres. We show that the circularity function of a fuzzy sphere converges to one of a crisp sphere as the fuzzy sphere shapes itself more and more like a crisp sphere.
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UR - http://www.scopus.com/inward/citedby.url?scp=0031345486&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0031345486
SP - 268
EP - 272
BT - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
PB - IEEE
ER -