The interval-valued Choquet-Sugeno-like operator as a tool for aggregation of interval-valued functions

Abstract

We propose a novel mapping from a space of interval-valued functions defined on an arbitrary set to the family of closed subintervals of nonnegative extended real numbers, called the interval-valued Choquet-Sugeno-like operator. It is based on the notion of the Choquet-Sugeno-like operator and the interval-valued seminormed fuzzy operator introduced by Boczek et al. (2021) and generalizes many interval-valued operators known in the literature, such as n-ary interval-valued aggregation operators, interval-valued ordered weighting average operators, interval-valued seminormed fuzzy operators, and discrete interval-valued Choquet integral. We study its properties and show that it can be used to aggregate interval-valued data.