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Issue:Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 2

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Title of paper: Modifications of the weight-center operator, defined over intuitionistic fuzzy sets. Part 2
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: 9th International Workshop on Intuitionistic Fuzzy Sets, 8 October 2013, Banská Bystrica, Slovakia
Published in: "Notes on IFS", Volume 19, 2013, Number 2, pages 1—5
Download:  PDF (124  Kb, Info)
Abstract: 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.
Keywords: Intutionistic 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. 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.
  4. 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.
  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
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