<abstract xmlns="http://www.w3.org/1999/xhtml"><p><xref ref-type="fn" rid="fn1_w2aab2b8b8b1b7b1ab1aaAa"><sup>1</sup></xref>This 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.</p></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.

The Bipolar Choquet Integrals Based On Ternary-Element Sets

Department of Applied Sciences, University of Technology Baghdad, Iraq

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"The Bipolar Choquet Integrals Based On Ternary-Element Sets"}

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 Bipolar Choquet Integrals Based On Ternary-Element Sets

Published Online: Jan 13, 2016

Page range: 13 - 21

DOI: https://doi.org/10.1515/jaiscr-2016-0002

Keywords
Capacities, Bi-capacities, Choquet integrals, Bipolar Choquet integrals, Fuzzy events

© 2016 Academy of Management (SWSPiZ), Lodz

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The Bipolar Choquet Integrals Based On Ternary-Element Sets

Published Online: Jan 13, 2016

Page range: 13 - 21

DOI: https://doi.org/10.1515/jaiscr-2016-0002

KeywordsCapacities, Bi-capacities, Choquet integrals, Bipolar Choquet integrals, Fuzzy events

© 2016 Academy of Management (SWSPiZ), Lodz

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Capacities, Bi-capacities, Choquet integrals, Bipolar Choquet integrals, Fuzzy events