Optimal lower bound for the extension of possibility measure to the power set of a set of elementary events

The concept of lower possibility measure is introduced and used to derive an existence criterion for the common extension of possibility measures to the power set of a set of elementary events. It is also used to derive an existence criterion for a model of convergence in probability for a sequence...

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Veröffentlicht in:Cybernetics and systems analysis 2011-03, Vol.47 (2), p.296-304
Hauptverfasser: Bychkov, A. S., Ivanova, Ie. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:The concept of lower possibility measure is introduced and used to derive an existence criterion for the common extension of possibility measures to the power set of a set of elementary events. It is also used to derive an existence criterion for a model of convergence in probability for a sequence of distributions of fuzzy perceptive elements.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-011-9311-9