The Bipolar Universal Integral [chapter]

Salvatore Greco, Radko Mesiar, Fabio Rindone
2012 Communications in Computer and Information Science  
The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity.
doi:10.1007/978-3-642-31718-7_38 fatcat:sprfbfbp5rc3dompcxml4omfsa