A weighted fuzzy inference method

Abstract

Ordered weighted averaging operator is introduced to the fuzzy inference for giving suitable weights to the weighted fuzzy production rules. This paper introduces a given weights method of ordered weighted averaging operator based on combinatorial number, according to which we propose an inference algorithm for the weighted fuzzy production rules of weighted fuzzy set. In the process of using this algorithm, a calculation method of weighted fuzzy matching function value and comprehensive similarity measure based on the operator are introduced for calculating the matching degree of the input facts and antecedent portion of the rules reasonability. Example analysis illustrates the feasibility and effectiveness of the given weighted fuzzy inference algorithm.