Asymmetric integral as a limit of generated Choquet integrals based on absolutely monotone real set functions

We introduce a generated Choquet integral with respect to absolutely monotone and sign stable set functions. Another type of integrals defined with respect to such a set function is obtained as a limit of an appropriate sequence of generated Choquet integrals.

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Bibliographische Detailangaben
Veröffentlicht in:	Fuzzy sets and systems 2011-10, Vol.181 (1), p.39-49
Hauptverfasser:	Mihailović, Biljana, Pap, Endre
Format:	Artikel
Sprache:	eng
Schlagworte:	Absolutely monotone set function Applied sciences Asymmetry Circuit properties Computer science control theory systems Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Fuzzy set theory Generated Choquet integral Information, signal and communications theory Integrals Mathematical analysis Mathematical methods Mathematics Miscellaneous Real functions Sciences and techniques of general use Symmetric pseudo-operations Telecommunications and information theory Theoretical computing
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Beschreibung
Zusammenfassung:	We introduce a generated Choquet integral with respect to absolutely monotone and sign stable set functions. Another type of integrals defined with respect to such a set function is obtained as a limit of an appropriate sequence of generated Choquet integrals.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2011.05.007