A New Framework of bi-capacities and its Integrals

  • Jabbar Abbas Ghafil Department of Applied Sciences, University of Technology, Baghdad-Iraq.
Keywords: Capacities, Bi-cpacities, Choquet integral, Bipolar Choquet integral, Ternary-element sets

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.

Author Biography

Jabbar Abbas Ghafil, Department of Applied Sciences, University of Technology, Baghdad-Iraq.



Published
2018-06-07
How to Cite
Ghafil, J. A. (2018). A New Framework of bi-capacities and its Integrals. Al-Nahrain Journal of Science, 18(4), 132-137. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/296
Section
Articles