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http://ifigenia.org/wiki/issue:nifs/22/5/43-45
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| Title of paper:
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On the embedding of continuous states
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| Author(s):
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| Beloslav Riečan
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Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, Bratislava, Slovakia
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| Beloslav.Riecan@umb.sk
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| Jaroslav Považan
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| Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 5, pages 43—45
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| Download:
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 PDF (123 Kb, File info)
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| Abstract:
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There is known the assertion that any state on a family F of IF-events can be embedded to an MV-algebra generated by F. In the contribution the assertion is extended for non-additive only upper and lower continuous mappings.
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| Keywords:
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Continuous states, Embedding
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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 Aplications. Physica-Verlag, Heidelberg.
- Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
- Kluvancová , D. On non-additive IF states (in preparation).
- Riečan, B. (2015) Embedding of IF states to MV-algebras. In: Intelligent Systems 2014, Proc. 7th IEEE Int. Conf. Springer, 157–162.
- Riečan, B., & Samuelčík, K. On non-additive probability measures. Mathematica Slovaca (to appear).
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