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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. | | 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. |
| | keywords = [[Keyword:Intuitionistic fuzzy sets|Intuitionistic fuzzy set]], [[Distance between intuitionistic fuzzy sets|Distance]], [[Complete space]]. | | | keywords = [[Intuitionistic fuzzy set]], [[Distance between intuitionistic fuzzy sets]], [[Complete space]]. |
| | references = | | | references = |
| # [[Krassimir Atanassov|Atanassov, K.]] (1986): ''Intuitionistic fuzzy sets''. [[Fuzzy Sets and Systems]] 20, 87-96. | | # [[Krassimir Atanassov|Atanassov, K.]] (1986): ''Intuitionistic fuzzy sets''. [[Fuzzy Sets and Systems]] 20, 87-96. |
Revision as of 19:35, 18 November 2008
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http://ifigenia.org/wiki/issue:{{{shortcut}}}
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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 between intuitionistic fuzzy sets, 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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