| Title of paper:
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Two examples for the use of 3-dimensional intuitionistic fuzzy index matrices
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| Author(s):
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| Krassimir Atanassov
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| Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
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| krat@bas.bg
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| Eulalia Szmidt
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Veselina Bureva
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| Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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| vesito_ka@abv.bg
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 52-59
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| Download:
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 PDF (184 Kb, File info)
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| Abstract:
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On the basis of the definition of the concepts of the 2- and 3-dimensional intuitionistic fuzzy index matrix, in the paper, two examples are given. In the first example, intuitionistic fuzzy expert evaluations are described for the case, when a group of experts evaluate themselves (as experts). In the second example, the results of the book sales in different bookshops in different towns are discussed.
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| Keywords:
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Intuitionistic fuzzy evaluation, Intuitionistic fuzzy index matrix.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K., Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
- Atanassov, K., On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
- Atanassov, K., On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
- Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., Extended intuitionistic fuzzy index matrices, Advanced Studies in Contemporary Mathematics (submitted).
- Atanassov, K., G. Pasi, R. Yager, Intuitionistic fuzzy interpretations of multi-criteria multiperson and multi-measurement tool decision making. International Journal of Systems Science, Vol. 36, 2005, No. 14, 859–868.
- Atanassov, K., E. Sotirova, V. Bureva, On index matrices. Part 4: New operations over index matrices. Advanced Studies in Contemporary Mathematics, Vol. 23, 2013, No. 3, 547–552.
- Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1–13.
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