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Discrete pseudo-integrals
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SYSNO ASEP 0391390 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discrete pseudo-integrals Author(s) Mesiar, Radko (UTIA-B) RID, ORCID
Li, J. (CN)
Pap, E. (RS)Number of authors 3 Source Title International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 54, č. 3 (2013), s. 357-364Number of pages 8 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords concave integral ; pseudo-addition ; pseudo-multiplication Subject RIV BA - General Mathematics R&D Projects GAP402/11/0378 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000316166200002 DOI 10.1016/j.ijar.2012.07.008 Annotation Integration of simple functions is a corner stone of general integration theory and it covers integration over finite spaces discussed in this paper. Different kinds of decomposition and subdecomposition of simple functions into basic functions sums, as well as different kinds of pseudo-operations exploited for integration and summation result into several types of integrals, including among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret, PAN, Benvenuti and concave integrals. Some basic properties of introduced discrete pseudoconcave integrals are discussed, and several examples of new integrals are given. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2014
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