Note on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications

Abstract EN

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.