Fuzzy spheres

Shih-Chuan Cheng, John N. Mordeson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publicationAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
PublisherIEEE
Pages268-272
Number of pages5
StatePublished - 1997
EventProceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97 - Syracuse, NY, USA
Duration: Sep 21 1997Sep 24 1997

Other

OtherProceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97
CitySyracuse, NY, USA
Period9/21/979/24/97

Fingerprint

Fuzzy sets
Mathematical operators
Geometry
Experiments

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Media Technology

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.

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 proceedingConference contribution

Cheng, S-C & Mordeson, JN 1997, Fuzzy spheres. in Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, pp. 268-272, Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97, Syracuse, NY, USA, 9/21/97.
Cheng S-C, Mordeson JN. Fuzzy spheres. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE. 1997. p. 268-272
Cheng, Shih-Chuan ; Mordeson, John N. / Fuzzy spheres. Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, 1997. pp. 268-272
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