| Title of paper:
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On two formulations of the IF state representation theorem
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| Author(s):
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| Jaroslav Považan
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| Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
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| jaroslav.povazan@umb.sk
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| Presented at:
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11th International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 5, pages 16–19
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| Download:
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 PDF (140 Kb, Info)
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| Abstract:
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The Recurrence theorem by Poincaré is one of basic results of the standard ergodic theory. In classical sense the main structure is a σ-algebra of sets and the measure-preserving maps are represented by preimages of classical maps. In this article we change the σ-algebra by a family ℱ of Intuitionistic Fuzzy Sets (IF-sets), which were introduced by Krassimir T. Atanassov, and the probability by an IF-state.
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| Keywords:
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recurrence theorem, IF-sets, s-preserving mappings, IF-state.
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| AMS Classification:
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03E72.
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| References:
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