Bipolar fuzzy integrals

Authors:
Salvatore Greco;Fabio Rindone
Affiliations:
Department of Economics and Business, University of Catania, Corso Italia 55, 95129 Catania, Italy;Department of Economics and Business, University of Catania, Corso Italia 55, 95129 Catania, Italy
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 9
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Abstract

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.