FUZZY FUNCTIONAL REASONING METHOD = WEIGHTED FUNCTIONAL REASONING METHOD

Abstract

As an extended version of functional reasoning method whose consequent parts consist of functions, this paper proposes "fuzzy functional reasoning method" in which fuzzy functions are used in the consequent part. Moreover, this reasoning method is shown to be equivalent to "weighted functional reasoning method" whose consequent parts have weights, by adopting as the weight the area or the base length of fuzzy set from the fuzzy function in the consequent part.