The Bipolar Choquet Integrals Based On Ternary-Element Sets

Abbas, Jabbar

doi:10.1515/jaiscr-2016-0002

Abstract

¹This paper first introduces a new approach for studying bi-capacities and the bipolar Choquet integrals based on ternary-element sets. In the second half of the paper, we extend our approach to bi-capacities on fuzzy sets. Then, we propose a model of bipolar Choquet integral with respect to bi-capacities on fuzzy sets, and we give some basic properties of this model.

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The Bipolar Choquet Integrals Based On Ternary-Element Sets

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