On Identification Methods of λ-Fuzzy Measures using Weights and λ

Abstract

In this paper, we show identification methods of λ-fuzzy measure using weights of evaluation items and λ. As the definitions of fuzzy measures' weights of evaluation items are difference by weights' means, we define three standards ; singleton fuzzy measure ratio standard, inputs numbers standard and Shapley value standard. For the three standards, we consider the existence of the fuzzy measure and the properties and propose the identification methods. We consider the means of λ and propose some identification methods of a λ. Lastly, we show some new useful interaction indices which are one-to-one correspondences with λ.