| Title of paper:
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Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 2
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| Author(s):
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| Beloslav Riečan
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| Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, 40 Tajovského Str., SK–97401, Banska Bystrica, Slovakia
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| riecan@fpv.umb.sk
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| Adrian Ban
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| Department of Mathematics and Informatics, University of Oradea, Universitâţii 1, 410087 Oradea, Romania
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| aiban@uoradea.ro
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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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| Presented at:
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9th International Workshop on Intuitionistic Fuzzy Sets, 8 October 2013, Banská Bystrica, Slovakia
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 2, pages 1—5
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| Download:
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 PDF (124 Kb, File info)
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| Abstract:
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In [2], K. Atanassov and A. Ban introduced the operator W(A), defined for IFSs over a finite universe E. In [5] the first modifications of the weight-center operator was proposed and studied. In the present paper, the second modification is considered over a countable universe.
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| Keywords:
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Intutionistic fuzzy set, Weight-center operator.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K.On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., A. Ban. On an operator over intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, Vol. 53, 2000, No. 5, 39–42.
- Marques Pereira, R. A., R. A. Ribeiro. Aggregation with generalized mixture operators using weighting functions. Fuzzy Sets and Systems, Vol. 137, 2003, No. 1, 43–58.
- Peneva, V., I. Popchev. Aggregation of fuzzy relations using weighting function. Comptes Rendus de l’Academie bulgare des Sciences, Vol. 60, 2007, No. 10, 1047–1052.
- Riečan, B., A. Ban, K. Atanassov. Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 1. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol.10, 2013, 1–4
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