| Title of paper:
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Upper and lower limits and m-almost everywhere convergence of intuitionistic fuzzy observables
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| Author(s):
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 40–49
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.4.40-49
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| Download:
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 PDF (256 Kb Kb, File info)
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| Abstract:
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In paper [4] we defined the upper and the lower limits for sequence of intuitionistic fuzzy observables with the help of intuitionistic fuzzy probability P and we compared two concepts of P-almost everywhere convergence. The aim of this paper is to define the lower and upper limits using the intuitionistic fuzzy state m. We study two concepts of m-almost everywhere convergence and we show that they are equivalent, too.
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| Keywords:
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IF-observable,m-almost everywhere convergence, Upper limit, Lower limit, IF-sets, IF-state, IF-probability, Zero IF-observable.
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| AMS Classification:
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03B52, 60A86, 60B10.
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| References:
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- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica Verlag, Berlin.
- Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets. Springer, Berlin.
- Grzegorzewski, P., & Mr´owka, E. (2002). Probability of intuistionistic fuzzy events. In P. Grzegorzewski et al. eds, Soft Metods in Probability, Statistics and Data Analysis, Physica Verlag, New York, 105–115.
- Lendelova, K. (2007). Almost eweryvhere convergence in family of IF-events with product. In New Dimensions in Fuzzy Logic and Related Technologies: Procedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, 11–14 September 2007, 231–236.
- Riecan, B. (2003). A descriptive definition of the probability on intuitionistic fuzzy sets. In M. Wagenecht, R. Hampet eds., EUSFLAT ’2003, Zittau-Goerlitz Univ. Appl. Sci., 263–266.
- Riecan, B. (2006). On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets and Systems, 152, 1485–1490.
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