Data fusion based on fuzzy measures

作者：Yue Shihong^*; Li Yi; Liu Zhengguang; Wang Ping; Liu Piaoyu

来源：Progress in Natural Science:Materials International , 2007, 17(8): 962-970.

• data fusion
• Choquet integral
• Shapley value index
• fuzzy measure

Choquet integral based on fuzzy measure is a very popular data fusion approach. A major problem in applying the Choquet integral is how to determine a large number of fuzzy measures as the number of attributes increases. The lambda-fuzzy measure proposed by Sugeno is a powerful method to resolve this problem. However, the modeling ability of the lambda-fuzzy measure is too limited to satisfy actual requirements. In this paper, an extended lambda-fuzzy measure is proposed using Shapley value index, and the limitation of the lambda-fuzzy measure is significantly overcome under little additional computational loads. The extended fuzzy measure has stronger modeling power than the lambda-fuzzy measure, straightforwardly representing interaction among attributes. We apply the extended fuzzy measure to an artificial data set and a real dataset in an iron-steel plant. The results verify the usefulness of the extended fuzzy measure compared with other main existing methods.

• 出版日期2007-8
• 单位天津大学