A note on the use of Choquet and Sugeno integrals in minimal and maximal covering location problems

Abstract

The aim of this paper is to show a potential applicability of some well-known fuzzy integrals, i.e., of the Choquet integral and the Sugeno integral, in Minimal and Maximal Covering location problems, i.e., in MinCLP and MCLP. Possible benefits of the use of Choquet and Sugeno integrals lie in the flexibility of a monotone set function which is the core of the observed integrals and which is being used for modelling Decision Maker's behavior. Mathematical models of Minimal and Maximal Covering location problems are given. Approach based on fuzzy integrals versus the standard two types of operators is discussed. Ideas for the future work and applications are presented.