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Issue:Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 3

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Title of paper: Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 3
Author(s):
Beloslav Riečan
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, 40 Tajovského Str., SK–97401, Banska Bystrica, Slovakia
riecan@fpv.umb.sk
Adrian Ban
Department of Mathematics and Informatics, University of Oradea, Universitâţii 1, 410087 Oradea, Romania
aiban@uoradea.ro
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
krat@bas.bg
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 20—24
Download:  PDF (138  Kb, Info)
Abstract: A third modification of the weight-center operator, defined over an intuitionistic fuzzy set is introduced. Its basic properties are shown. The connection with the previous modifications of this operator are discussed.
Keywords: Intuitionistic fuzzy set, Weight-center operator
AMS Classification: 03E72
References:
  1. Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Riečan, B., B., A. Ban, K. Atanassov, Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 2. Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 2, 1–5.
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