Composite fuzzy measure and its application to automobile factory investment decision making

Abstract

A composite fuzzy measure built up from fuzzy measures defined on fuzzy measurable spaces using composite fuzzy weights has previously been proposed by the authors (2001). Here, the measurable space of this composite fuzzy measure is the direct sum of measurable spaces. Moreover, an associative, composite fuzzy measure built up from three fuzzy measures has also been proposed, but it is practically required that the fuzzy measure should be composed by plural fuzzy measures. Here, the associative, composite fuzzy measure built up from three fuzzy measures is recursively extended to an associative, composite fuzzy measure built up from a finite number of fuzzy measures. As an application, it is applied to the automobile factory capital investment decision making problem. It is assumed that an automobile company has a sales plan of a new car. The current factory line has a capacity to manufacture 3200 new cars, additional to the current car lines. Then, by the use of this composite fuzzy measure, the differentiation of the Choquet integral becomes the important index for decision making, which is confirmed by this decision making experiment.