An extension of maximal covering location problem based on the Choquet integral

Abstract

The aim of this paper is to demonstrate the applicability of the Choquet integral, a well-known fuzzy integral, in the Maximal Covering Location Problem (MCLP). Possible benefits of the used integral, which is based on monotone set functions, include the flexibility of а monotone set function, which is in the core of the Choquet integral, for modeling the Decision Maker's behavior. Various mathematical models of the Maximal Covering Location Problem are given. The approach, based on the Choquet integral versus the standard approach, is thoroughly discussed and illustrated by several examples.