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A note on some algebraic properties of discrete Sugeno integrals
Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, Olomouc, Czech Republic.
Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, Olomouc, Czech Republic / Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Bratislava, Slovakia.
Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, Olomouc, Czech Republic / Mathematical Institute, Slovak Academy of Sciences, Košice, Slovakia.
Högskolan i Skövde, Institutionen för informationsteknologi. Högskolan i Skövde, Forskningscentrum för Informationsteknologi. (Skövde Artificial Intelligence Lab (SAIL))ORCID-id: 0000-0002-0368-8037
2019 (engelsk)Inngår i: Fuzzy sets and systems (Print), ISSN 0165-0114, E-ISSN 1872-6801, Vol. 355, s. 110-120Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Based on the link between Sugeno integrals and fuzzy measures, we discuss several algebraic properties of discrete Sugeno integrals. We recall that the composition of Sugeno integrals is again a Sugeno integral, and that each Sugeno integral can be obtained as a composition of binary Sugeno integrals. In particular, we discuss the associativity, dominance, commuting and bisymmetry of Sugeno integrals.

sted, utgiver, år, opplag, sider
Elsevier, 2019. Vol. 355, s. 110-120
Emneord [en]
Associativity, L-measure, Sugeno integral
HSV kategori
Forskningsprogram
Skövde Artificial Intelligence Lab (SAIL); INF301 Data Science
Identifikatorer
URN: urn:nbn:se:his:diva-16471DOI: 10.1016/j.fss.2018.01.009ISI: 000450287700009Scopus ID: 2-s2.0-85041636724OAI: oai:DiVA.org:his-16471DiVA, id: diva2:1268515
Tilgjengelig fra: 2018-12-06 Laget: 2018-12-06 Sist oppdatert: 2019-02-14bibliografisk kontrollert

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