Fuzzy Measures and Integrals
Abstract
In this paper, we will study the aggregation problem with interacting criteria, and we will introduce the concepts of fuzzy measures and integrals. The fuzzy integrals are powerful aggregation operators which are able to take into consideration the interaction among criteria and the fuzzy measures can be used for modeling the importance of all subsets of criteria. We will concentrate in "the Choquet integral", this fuzzy integral is a weighted aggregation operator, which takes into account not only the importance of the criteria, but also the importance of all subsets of them. The information about the importance and the interaction between criteria is used in the aggregation process of the partial evaluations. This paper analyze some characteristics and properties of this operator.
In this paper, we will study the aggregation problem with interacting criteria, and we will introduce the concepts of fuzzy measures and integrals. The fuzzy integrals are powerful aggregation operators which are able to take into consideration the interaction among criteria and the fuzzy measures can be used for modeling the importance of all subsets of criteria. We will concentrate in "the Choquet integral", this fuzzy integral is a weighted aggregation operator, which takes into account not only the importance of the criteria, but also the importance of all subsets of them. The information about the importance and the interaction between criteria is used in the aggregation process of the partial evaluations. This paper analyze some characteristics and properties of this operator.
In this paper, we will study the aggregation problem with interacting criteria, and we will introduce the concepts of fuzzy measures and integrals. The fuzzy integrals are powerful aggregation operators which are able to take into consideration the interaction among criteria and the fuzzy measures can be used for modeling the importance of all subsets of criteria. We will concentrate in "the Choquet integral", this fuzzy integral is a weighted aggregation operator, which takes into account not only the importance of the criteria, but also the importance of all subsets of them. The information about the importance and the interaction between criteria is used in the aggregation process of the partial evaluations. This paper analyze some characteristics and properties of this operator.
Description
Vol. 2, No. 2