Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)
- 2000.05a
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- Pages.86-89
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- 2000
Some Properties of the Fuzzy Rule Table for Polynomials of two Variables
- Ryou, Jeong-A (Dept. of Mathematics, ChungNam National University) ;
- Chung, Sei-Young (Dept. of Mathematics, ChungNam National University) ;
- Moon, Byung-Soo (Dept. of Mathematics, ChungNam National University)
- Published : 2000.05.01
Abstract
In this paper, we consider a fuzzy system representation for polynomials of two variables. The representation we use is an exact transformation of the corresponding cubic spline interpolation function. We examine some of the properties of their fuzzy rule tables md prove that the rule table is symmetric or antisymmetric depending on whether the polynomial is symmetric or antisymmetric. A few examples are included to verify our proof. These results not only provide some insights on properties of the cubic spline interpolation coefficients but also provide some help in setting up fuzzy rule tables for functions of two variables.
Keywords