DocumentCode
2618795
Title
Fuzzy spheres
Author
Cheng, Shih-Chuan ; Mordeson, John N.
Author_Institution
Dept. of Math. & Comput. Sci., Creighton Univ., Omaha, NE, USA
fYear
1997
fDate
21-24 Sep 1997
Firstpage
268
Lastpage
272
Abstract
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
Keywords
computational geometry; fuzzy set theory; circularity function; crisp sphere; fuzzy geometry; fuzzy set; fuzzy sphere; partial order; Area measurement; Ellipsoids; Equations; Fuzzy sets; Geometry; Rough surfaces; Surface roughness;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 1997. NAFIPS '97., 1997 Annual Meeting of the North American
Conference_Location
Syracuse, NY
Print_ISBN
0-7803-4078-7
Type
conf
DOI
10.1109/NAFIPS.1997.624049
Filename
624049
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