Proposal of a New Defuzzy Method for the Output Fuzzy Set of Fuzzy Inference : Experiment using a special stimulus which is expected to cause an auditory pareidolia

Abstract

The FCR method was developed by applying fuzzy logic to solve the problem of centralizing tendency in the rating scale method. In the FCR method, we usually use two items, but there are cases where three or more items are required. Unlike the case of two entities, the analysis method for three things has not been developed yet, except for the fuzzy inference method. In the fuzzy inference method, we measure the degree of conformity of each rule, obtain the output fuzzy set, and perform defuzzy operations on the fuzzy output set to get the singleton value. This study investigates the method for selecting the most dominant rule in fuzzy inference. We also apply our method to analyze how people hear orchestra acoustics differently. In addition, we propose a new defuzzy method called the Mode-Median method.