1997 Volume 9 Issue 6 Pages 933-941
This paper proposes a method to select essential elements in a huma nevaluation model using fuzzy measures and integrals, which considers relation among fuzzy measures of sets with more than two elements. Assuming that a combined element consists of composed elements, the proposed method selects not a combined element of which fuzzy measure is super-additive but composed elements which compose a combined element and the fuzzy measure of the combined element is super-additive. To this end, Increment Degree from fuzzy measures of composed elements to the fuzzy measure of a combined element, Average of Increment Degree, Necessity Degree considering both the Average Increment Degree of a combined element and its fuzzy measure which implies the importance of the element, are defined. The proposed method selects essential elements by the use of the relative Necessity Degree.The proposed method is applied to the evaluation of restaurants and the evaluation of the strength of wood and its usefulness is verified by comparing the proposed method with the conventional method. The results show that the proposed method select essential elements well in the evaluation when the number of elements is restricted.