Some notes on -homogeneity property of semiconormed fuzzy integrals

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2006 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 157, pages 1,572-1,575 (issn: 0165-0114,

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Authors: Yao Ouyang; Hongxia Sun; Jun Li 0014;

doi: 10.1016/j.fss.2006.03.003

Some notes on -homogeneity property of semiconormed fuzzy integrals

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Abstract

The aper discusses some results of \textit{M. H. Kim} [Fuzzy Sets Syst. 157, No. 3, 411--426 (2006; Zbl 1088.28011)] on homogeneity of fuzzy integrals and shows that they are not valid, in general. However, it is shown here that these results are correct when integrating over the whole space \(X\).

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Keywords

homogeneity, fuzzy measure, Fuzzy measure theory, t-semiconorm, t-seminorm

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