Fuzzy spheres

Shih-Chuan Cheng, John N. Mordeson

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

2 Scopus citations

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

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Media Technology

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    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.