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Issue:Completeness of IFS(X) as a metric space: Difference between revisions

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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        = [[Keyword:Intuitionistic fuzzy sets|Intuitionistic fuzzy set]], [[Distance between intuitionistic fuzzy sets|Distance]], [[Complete space]].
  | references      = <br/>
  | 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.
# Atanassov, K. (1999): ''[[Intuitionistic Fuzzy Sets: Theory and Applications]]''. Physica-Verlag.
# Atanassov, K. (1999): ''[[Intuitionistic Fuzzy Sets: Theory and Applications]]''. Physica-Verlag.

Revision as of 19:02, 18 November 2008

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