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

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Abstract

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.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    A. S. Bychkov & Ie. V. Ivanova

Authors
  1. A. S. Bychkov
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  2. Ie. V. Ivanova
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Correspondence to A. S. Bychkov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 143–153, March–April 2011.

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Bychkov, A.S., Ivanova, I.V. Optimal lower bound for the extension of possibility measure to the power set of a set of elementary events. Cybern Syst Anal 47, 296–304 (2011). https://doi.org/10.1007/s10559-011-9311-9

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  • DOI: https://doi.org/10.1007/s10559-011-9311-9

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