Fusion functions based discrete Choquet-like integrals

R. Mesiar, A. Kolesárová, H. Bustince, G.P. Dimuro and B.C. Bedregal

European Journal of Operational Research, 2016, vol. 252, issue 2, 601-609

Abstract: In this paper, we generalize a formula for the discrete Choquet integral by replacing the standard product by a suitable fusion function. For the introduced fusion functions based discrete Choquet-like integrals we discuss and prove several properties and also show that our generalization leads to several new interesting functionals. We provide a complete characterization of the introduced functionals as aggregation functions. For n=2, several new aggregation functions are obtained, and if symmetric capacities are considered, our approach yields new generalizations of OWA operators. If n > 2, the introduced functionals are aggregation functions only if they are Choquet integrals with respect to some distorted capacity.

Keywords: Multi-criteria analysis; Aggregation function; Choquet integral; Fusion function; Pre-aggregation function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:252:y:2016:i:2:p:601-609

DOI: 10.1016/j.ejor.2016.01.027

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