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| {{issue/data | | {{issue/data |
| | conference = | | | conference = |
| | issue = [[Notes on Intuitionistic Fuzzy Sets/22/1|"Notes on IFS", Volume 22 (2016) Number 1]], pages 7—12 | | | issue = [[Notes on Intuitionistic Fuzzy Sets/22/1|"Notes on Intuitionistic Fuzzy Sets", Volume 22 (2016) Number 1]], pages 7—12 |
| | file = NIFS-22-1-07-12.pdf | | | file = NIFS-22-1-07-12.pdf |
| | format = PDF | | | format = PDF |
Latest revision as of 11:04, 29 August 2024
shortcut
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http://ifigenia.org/wiki/issue:nifs/22/1/7-12
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| Title of paper:
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On intuitionistic fuzzy norms and distances generated by the intuitionistic fuzzy subtractions ¬'11 and ¬"11
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| Author(s):
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| Diana Tisheva
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| Faculty of Economics and Business Administration, Sofia University “St. Kliment Ohridski”, Bulgaria
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| dianaht@feb.uni-sofia.bg
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| Beloslav Riečan
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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
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| riecan@mat.savba.sk, riecan@fpv.umb.sk
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| Krassimir Atanassov
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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
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| krat@bas.bg
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22 (2016) Number 1, pages 7—12
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| Download:
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 PDF (142 Kb, File info)
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| Abstract:
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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
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| Keywords:
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Intuitionistic fuzzy distance, Intuitionistic fuzzy norm, Intuitionistic fuzzy subtraction.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
- 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.
- Atanassov K. (2012) On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
- 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.
- 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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