16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

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

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Title of paper: Completeness of IFS(X) as a metric space
Veronika Valenčáková
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
valencakAt sign.pngfpv.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
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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.
  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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