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Discrete bipolar universal integrals
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SYSNO ASEP 0432224 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discrete bipolar universal integrals Author(s) Greco, S. (IT)
Mesiar, Radko (UTIA-B) RID, ORCID
Rindone, F. (IT)Source Title Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
Roč. 252, č. 1 (2014), s. 55-65Number of pages 11 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords bipolar integral ; universal integral ; Choquet integral 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 000341480600005 DOI 10.1016/j.fss.2014.02.002 Annotation The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as special cases the discrete Choquet, Shilkret and Sugeno bipolar integrals. Moreover we provide two different axiomatic characterizations of the proposed discrete bipolar universal integral. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2015
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