Konohen fuzzy: A sample points based computational model for multi-dimensional fuzzy set

In this paper, Multi-dimensional fuzzy set calculation model is introduced, and the method is called Konohen fuzzy. For some actual purposes, formal expression functional model for multi-dimensional solution space can not be obtained so easily. We propose the SPF : sample points based fuzzy set definition method to descrive multi-dimensional fuzzy set which is used to model problems on high-dimensional solution spaces. Konohen fuzzy handles more free styled fuzzy set shapes in multi-dimensional spaces than previous methods. The SPF is consist of a set of random finite sample points and a set of their membership values. Membership values of arbitrary points are obtained using interpolation, and this method makes it possible to handle complex and complicated systems in simple way that is an original goal of fuzzy logic. A numerical example results show that calculation error between SPF and overall interpolation is very small.