Author :
Cheng, Shih-Chuan ; Mordeson, John N.
Author_Institution :
Dept. of Math. & Comput. Sci., Creighton Univ., Omaha, NE, USA
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;
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
DOI :
10.1109/NAFIPS.1997.624049
