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 |
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City | Syracuse, NY, USA |
Period | 9/21/97 → 9/24/97 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology