Issue:Completeness of IFS(X) as a metric space
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| Title of paper:
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Completeness of IFS(X) as a metric space
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| Author(s):
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| Veronika Valenčáková
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| Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
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| valencak@fpv.umb.sk
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| Presented at:
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2nd International Workshop on Intuitionistic Fuzzy Sets, 3 December 2006, Banská Bystrica, Slovakia.
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 12, Number 4, pages 22—26
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| Download:
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 PDF (146 Kb, File info)
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| Abstract:
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The aim of this article is to prove the completeness of the space of intuitionistic fuzzy sets in X, where X can be finite or infinite universe of discourse.
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| Keywords:
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Intuitionistic fuzzy set, Distance, Complete space.
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| References:
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- Atanassov, K. (1986): Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87-96.
- Atanassov, K. (1999): Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag.
- Szmidt, E., Kacprzyk, J. (1997): Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems 114, 505-518.
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| Citations:
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