A Nonlinear Integral Which Generalizes Both the Choquet and the Sugeno Integral View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2010

AUTHORS

Erich Peter Klement , Radko Mesiar , Endre Pap

ABSTRACT

The Choquet and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. However, their applicability is somehow restricted because of the special operations used in the construction of these integrals. This survey presents the main ideas and results concerning the construction of a universal integral generalizing both the Choquet and the Sugeno case. For functions with values in the nonnegative real numbers, universal integrals can be defined on arbitrary measurable spaces and for arbitrary monotone measures. A more detailed exposition and the proofs of the propositions can be found in [38]. More... »

PAGES

39-52

Book

TITLE

Quantitative Logic and Soft Computing 2010

ISBN

978-3-642-15659-5
978-3-642-15660-1

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-15660-1_3

DOI

http://dx.doi.org/10.1007/978-3-642-15660-1_3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021962786


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277 https://www.grid.ac/institutes/grid.412684.d schema:alternateName University of Ostrava
278 schema:name Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81 368, Bratislava, Slovakia
279 Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 70103, Ostrava, Czech Republic
280 rdf:type schema:Organization
281 https://www.grid.ac/institutes/grid.9970.7 schema:alternateName Johannes Kepler University of Linz
282 schema:name Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, 4040, Linz, Austria
283 rdf:type schema:Organization
 




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