Title of paper:
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Uncertainty inspired by economical models
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Author(s):
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Alžbeta Michalíková
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Department of Informatics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 97401 Banská Bystrica, Slovakia
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alzbeta.michalikova@umb.sk
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Beloslav Riečan
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Department of Informatics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 97401 Banská Bystrica, Slovakia
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beloslav.riecan@umb.sk
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Published in:
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"Notes on IFS", Volume 20, 2013, Number 2, pages 69-74
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Download:
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PDF (147 Kb, File info)
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Abstract:
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Some applications of the sets theory in economical problems are presented. Especially the generalized Choquet and Šipoš’s integrals are exposed. We present two possibilities how to extend mathematical models of the problem. The first is the Atanassov intuitionistic fuzzy sets theory for the domain, the second one is the Riesz vector space theory for the range of considered mappings.
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Keywords:
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Prospect theory, Šipoš integral, IF-sets.
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AMS Classification:
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03E72, 03E10
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References:
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- Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica–Verlag, Heidelberg, 1999.
- Boccuto, A., B. Riečan, M. Vrábelová, Kurzweil–Henstock Integral in Riesz Spaces. Betham Books, 2009.
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- Šipoš, J., Integral with respect to a pre-measure. Math. Slovaca, Vol. 219, 1979, 141–155.
- Šipoš, J., Non linear integrals. Math. Slovaca, Vol. 29, 1979, 257–270.
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