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Issue:On intuitionistic fuzzy norms and distances generated by the intuitionistic fuzzy subtractions ¬'11 and ¬''11

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Title of paper: On intuitionistic fuzzy norms and distances generated by the intuitionistic fuzzy subtractions ¬'11 and ¬"11
Author(s):
Diana Tisheva
Faculty of Economics and Business Administration, Sofia University “St. Kliment Ohridski”, Bulgaria
dianaht@feb.uni-sofia.bg
Beloslav Riečan
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, 974 01 Bansk´a Bystrica, Slovakia
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, SK–81473 Bratislava, Slovakia
riecan@mat.savba.sk, riecan@fpv.umb.sk
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8000, Bulgaria
krat@bas.bg
Published in: "Notes on IFS", Volume 22 (2016) Number 1, pages 7—12
Download:  PDF (142  Kb, Info)
Abstract: Two of the interesting intuitionistic fuzzy subtractions are ¬'11 and ¬"11. They are used for introduction of 5 new intuitionistic fuzzy norms and 10 new intuitionistic fuzzy distances. For them it is proved that they are intuitionistic fuzzy pairs
Keywords: Intuitionistic fuzzy distance, Intuitionistic fuzzy norm, Intuitionistic fuzzy subtraction.
AMS Classification: 03E72
References:
  1. Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
  2. Atanassov, K. (2006) On intuitionistic fuzzy negations and De Morgan Laws. In: Proc. of Eleventh International Conf. IPMU, Paris, July 2–7, 2006, 2399–2404.
  3. Atanassov K. (2012) On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  4. Atanassov K. & Dimitrov, D. (2008) On the negations over intuitionistic fuzzy sets. Part 1. Annual of “Informatics” Section Union of Scientists in Bulgaria, 1, 49–58.
  5. Riecan, B., Boyadzhieva, D. & Atanassov, K. (2009) On intuitionistic fuzzy subtraction related to intuitionistic fuzzy negation ¬11. Notes on Intuitionistic Fuzzy Sets, 15(4), 9–14.
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