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Decomposition approaches to integration without a measure
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SYSNO ASEP 0457408 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Decomposition approaches to integration without a measure Author(s) Greco, S. (IT)
Mesiar, Radko (UTIA-B) RID, ORCID
Rindone, F. (IT)
Sipeky, L. (SK)Source Title Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
Roč. 287, č. 1 (2016), s. 37-47Number of pages 11 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Choquet integral ; Decision making ; Decomposition integral Subject RIV BA - General Mathematics Institutional support UTIA-B - RVO:67985556 UT WOS 000368276100003 EID SCOPUS 84955413289 DOI 10.1016/j.fss.2015.07.014 Annotation we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of decompositions: sub-decomposition based integrals (in economics linked with optimization problems to maximize the possible profit) and super-decomposition based integrals (linked with costs minimization). We provide several examples (both theoretical and realistic) to stress that our approach generalizes that of Even and Lehrer (2014) [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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