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Acta Polytechnica HungaricaVolume 6, Issue 1, 2009, Pages 161-173

Asymmetrie general choquet integrals(Article)

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  • aFaculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
  • bDepartment of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia

Abstract

A notion of a generated chain variation of a set function m with values in [- 1, 1] is proposed. The space BgV of set functions of bounded g-chain variation is introduced and properties of set functions from BgV are discussed. A general Choquet integral of bounded A-measurable function is defined with respect to a set function m ∈ BgV. A constructive method for obtaining this asymmetric integral is considered. A general fuzzy integral of bounded g-variation, comonotone ⊕-additiviteand positive ⊙-homogenous is represented by a general Choquet integral. The representation of a general Choquet integral in terms of a pseudo Lebesque-Stiltjes integral is obtained.

Author keywords

Asymmetric choquet integralGeneral fuzzy integralNon-monotonic set functionSymmetric pseudo-operations
  • ISSN: 17858860
  • Source Type: Journal
  • Original language: English
  • Document Type: Article

  Mihailović, B.; Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, Serbia;
© Copyright 2010 Elsevier B.V., All rights reserved.

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