| Title of paper:
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Properties of some operations defined over intuitionistic fuzzy sets
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| Author(s):
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| Rangasamy Parvathi
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| Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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| paarvathis@rediffmail.com
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| Beloslav Riečan
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Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
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| riecan@mat.savba.sk , riecan@fpv.umb.sk
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| Krassimir Atanassov
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| Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
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| krat@bas.bg
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 1, pages 1—4
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| Download:
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 PDF (125 Kb, File info)
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| Abstract:
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A lot of operations are defined oved the intuitionistic fuzzy sets. Here, five equalities with participation of some of these operations are introduced and proved. The paper is a continuation of [4, 5], where two new operations over Intuitionistic Fuzzy Sets (IFSs, see [1, 2]) are introduced. The operations and their properties may find applications as the operations [math]\displaystyle{ A^n }[/math], [math]\displaystyle{ n.A }[/math] and [math]\displaystyle{ \frac{1}{n}.A }[/math] find their places and play role in contrast enhancement and defining statistical tools in
intuitionistic fuzzy environment.
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| Keywords:
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Intuitionistic fuzzy sets, Operations over intuitionistic fuzzy sets
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012 (in press).
- De, S. K., R. Biswas, A. R. Roy, Some operations on intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 114, 2000, No. 4, 477–484.
- Riečan, B., K. Atanassov. n-extraction operation over intuitionistic fuzzy sets. Notes in Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 4, 9–11.
- Riečan, B., K. Atanassov. Operation division by n over intuitionistic fuzzy sets. Notes in Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 4, 1–4.
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