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

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  | title          = Completeness of IFS(X) as a metric space
  | title          = Completeness of IFS(X) as a metric space
| shortcut        = nifs/12/4/29-36
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  | conference      = 2<sup>nd</sup> [[International Workshop on Intuitionistic Fuzzy Sets]], 3 December 2006, Banská Bystrica, Slovakia.  
  | conference      = 2<sup>nd</sup> [[International Workshop on Intuitionistic Fuzzy Sets]], 3 December 2006, Banská Bystrica, Slovakia.  
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/12/4|Notes on Intuitionistic Fuzzy Sets, Volume 12, Number 4]], pages 29—36  
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/12/4|Notes on Intuitionistic Fuzzy Sets, Volume 12, Number 4]], pages 29—36  
  | file            = Completeness IFS MeasureSpace.pdf
  | file            = NIFS-12-4-29-36.pdf
  | format          = PDF
  | format          = PDF
  | size            = 146
  | size            = 167
  | abstract        =  
  | 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.
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.

Latest revision as of 19:12, 3 June 2009

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http://ifigenia.org/wiki/issue:nifs/12/4/29-36
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 29—36
Download:  PDF (167  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 between intuitionistic fuzzy sets, 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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