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

Abstract: Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the bipolar Shilkret integral. In this paper, we propose a new approach to calculating the bipolar Shilkret integral to be suitable for bipolar scales. Then, we give some main properties of this integral related to bi-capacity.

Non-additive measure, Shilkret integral, Bipolar scales, Bi-capacity, Bipolar Shilkret integral