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A New Framework of bi-capacities and its Integrals | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 18, Issue 4, 2015, Pages 132-137 | ||
| Author | ||
| Jabbar Abbas Ghafil | ||
| Abstract | ||
| The aim of this paper is to introduce a new framework for studying bi-capacities and its integrals, which is alternative framework from defined by Grabisch and Labreuche ([7], [8]). First, we define bi-capacities through introducing a notion of ternary-element sets. Secondly, we propose model of bipolar Choquet integral with respect to bi-capacity based on ternary-element sets, and we study basic properties of new model. | ||
| Keywords | ||
| Capacities; cpacities; Choquet integral; Bipolar Choquet integral; Ternary; element sets | ||
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