| Title of paper:
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The Inclusion–Exclusion principle for general 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, 974 01, Banská Bystrica, Slovakia
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| daniela.kluvancova@umb.sk
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 5, pages 24–32
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| Download:
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 PDF (120 Kb, File info)
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| Abstract:
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Any real state on intuitionistic fuzzy sets (IF-sets) can be represented by integrals. L. Ciungu in [3] proved that for any real state on IF-sets and for a pair of binary operations which satisfy some special conditions holds an Inclusion–Exclusion principle. In [10], J. Považan proved that also any state on IF-sets with values from the arbitrary Riesz space we can represented by integrals. But could we consider Inclusion–Exclusion principle for any IF-state? In this paper we will prove this property for general case in very similar way as for real.
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| Keywords:
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IF-set, IE-pair, Inclusion–Exclusion principle, Riesz space, Representation theorem.
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| AMS Classification:
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03E72.
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| References:
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