The concept of an interval-valued capacity is motivated by the goal to generalize a capacity, and it can be used for representing an uncertain capacity. In this paper, we define the discrete interval-valued capacities, a measure of the entropy of a discrete interval-valued capacity, and, Choquet integral with respect to a discrete interval-valued capacity. In particular, we discuss the Choquet integral as an interval-valued aggregation operator and discuss an application of them.
Lee-Chae Jang. "Note on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/154670