Bipolar fuzzy integrals

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• 作者：Salvatore Greco ^{salgreco@unict.it} ; Fabio Rindone ; ^{frindone@unict.it}
• 关键词：Non-additive measures ; Multiple criteria evaluation ; Bi-capacity ; Bipolar fuzzy integrals
• 刊名：Fuzzy Sets and Systems
• 出版年：2013
• 出版时间：1 June, 2013
• 年：2013
• 卷：220
• 期：Complete
• 页码：21-33
• 全文大小：259 K

文摘

In decision analysis, and especially in multiple-criteria decision analysis, several non-additive integrals have been introduced in the last 60 years. These include the Choquet integral, the Shilkret integral and the Sugeno integral, among others. Recently, a bipolar Choquet integral was proposed for cases in which the underlying scale is bipolar. In this paper we propose a bipolar Shilkret integral and a bipolar Sugeno integral. Moreover, we provide an axiomatic characterization of all three bipolar fuzzy integrals.