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.



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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 2018, 18 (4), 132-137.