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 |
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| 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 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology
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Cite this
Cheng, S-C., & Mordeson, J. N. (1997). Fuzzy spheres. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS (pp. 268-272). IEEE.