A New Framework of bi-capacities and its Integrals

Authors

  • 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.



Downloads

Published

2018-06-07

Issue

Vol. 18 No. 4 (2015): December

Section

Articles

How to Cite

[1]
“A New Framework of bi-capacities and its Integrals”, ANJS, vol. 18, no. 4, pp. 132–137, Jun. 2018, Accessed: Apr. 24, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/296