Title :
Cubic splines and fuzzy interpolation: a visual comparison
Author :
Whalen, Thomas ; Schott, Brian
Author_Institution :
Dept. of Decision Sci., Georgia State Univ., Atlanta, GA, USA
Abstract :
The article focuses on three dimensional representations of crisp and fuzzy interpolation lines and surfaces on a poster. The X and Y dimensions will lie in the plane of the poster, while the membership grade of each (X, Y) pair will be represented by a surface constructed of styrofoam projecting away from the poster in the third dimension. Cubic Spline, Sugeno, and Defuzzified Mamdani interpolation lines will be indicated on the fuzzy surface by colored yarn. An animated version of the graph is available on the World Wide Web
Keywords :
fuzzy set theory; interpolation; splines (mathematics); Defuzzified Mamdani interpolation lines; Sugeno; World Wide Web; animated version; cubic splines; fuzzy interpolation lines; fuzzy surface; membership grade; three dimensional representations; visual comparison; Animation; Fuzzy sets; Gravity; Interpolation; Polynomials; Web sites; Yarn;
Conference_Titel :
Fuzzy Information Processing Society - NAFIPS, 1998 Conference of the North American
Conference_Location :
Pensacola Beach, FL
Print_ISBN :
0-7803-4453-7
DOI :
10.1109/NAFIPS.1998.715570
