Extraction of Subjective Optiomal Solutions Using Fuzzy Measure

Abstract

This paper proposes an extraction method of the subjective optimal solutions that does not burden the decision maker. The method removes unnecessary parts from the existing method based on the multiattribulte utility theory and reduces the number of questions. This paper researches effects on final result from two points of view, “function formula” and “function parameter” of utility function. In the result, function parameter is extracted with difficulty, and it is less affected by final result. Therefore, this paper proposes a new extraction method of utility function, which reduces the number of questions about function parameter. The decision making model in this method expresses the subjectivity of the decision maker by introducing a fuzzy measure, and it realizes evaluation methods between the minimum method and the maximum method and extends the width of subjectivity expression. Therefore the proposed method realizes a decision aid of high precision without heavy burdens to the decision maker.