| Title of paper:
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On IF-semistates
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| Author(s):
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| Beloslav Riečan
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Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, 974 01 Banská Bystrica, Slovakia
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, SK–81473 Bratislava, Slovakia
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| riecan@mat.savba.sk, riecan@fpv.umb.sk
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| Published in:
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"Notes on IFS", Volume 22 (2016) Number 1, pages 27—34
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| Download:
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 PDF (166 Kb, File info)
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| Abstract:
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Semistates on a family F of IF-events are considered as functions m : F → [0, 1], additive with respect to the Lukasiewicz disjunction A ⊕ B and conjunction A ⊙ B. The main result is an extension theorem extending m to an MV algebra m : M → [0, 1]. The theorem generalizes the extension theorem of IF states from F to M.
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| Keywords:
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IF-sets, MV-algebras, Measures.
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| AMS Classification:
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28C99.
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| References:
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