Choquet integral with respect to Łukasiewicz filters, and its modifications

Authors:
Dana Hlinná;Martin Kalina;Pavol Král'
Affiliations:
Dept. of Mathematics, FEEC Brno Uni. of Technology, Technická 8, 616 00 Brno, Czech Republic;Dept. of Mathematics, Slovak Uni. of Technology, Radlinského 11, 813 68 Bratislava, Slovakia;Dept. of Quantitative Methods and Information Systems, Matej Bel University, Tajovského 10, 975 90 Banská Bystrica, Slovakia and Institute of Mathematics and Computer Science, UMB and M& ...
Venue:
Information Sciences: an International Journal
Year:
2009

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Abstract

In many decision problems a set of actions is evaluated with respect to a set of points of view, called criteria. This paper follows two aims - first to compare the so-called level-dependent Choquet integral introduced recently by Greco et al. with another transformation of Choquet integral, proposed by Havranova and Kalina. The other aim of this paper is to look for an appropriate utility function in a given setting. We illustrate our approach on a practical example, utilizing the level-dependent Choquet integral.