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http://ifigenia.org/wiki/issue:nifs/23/3/23-29
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Title of paper:
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Non-additive IF-states
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Author(s):
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Daniela Kluvancová
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Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
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daniela.kluvancova@umb.sk
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 3, pages 23—29
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Download:
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PDF (157 Kb Kb, File info)
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Abstract:
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The additivity of measures is one of the key property in probability theory and it is used in many proofs. In [3], authors proved that additivity can be omitted in some problems of probability theory. In this paper we have extended this idea to space of intuitionistic fuzzy sets.
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Keywords:
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IF-set, Probability, Distribution function, Central limit theorem.
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AMS Classification:
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03E72
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References:
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- Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Springer Physica Verlag, Heidelberg.
- Petrovičová, J., & Riečan B. (2010) On the Lukasiewicz probability theory on IF-sets. Tatra Mountains Mathematical Publications, 46, 125–146.
- Riečan, B., & Samuelčík, K. On non-additive probability measures (to appear).
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Citations:
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