Fuzzy Inference based on Spline Function

Abstract

Recently, fuzzy reasonings are used in many fields and places. In order to apply the reasoning methods to the various fields, the tuning method of the fuzzy reasoning is the key issue. Some self-tuning methods were proposed. However these conventional self-tuning methods do not have sufficient capability of learning. In this paper, we propose a new self-tuning fuzzy reasoning, which consists of some membership function expressed by the spline function. Delta rule is utilized for tuning the shapes of membership function and consequent parts. The effectiveness of the proposed methods is shown by some numerical examples.