16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Two examples for the use of 3-dimensional intuitionistic fuzzy index matrices

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Title of paper: Two examples for the use of 3-dimensional intuitionistic fuzzy index matrices
Author(s):
Krassimir Atanassov
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
kratAt sign.pngbas.bg
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidtAt sign.pngibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzykAt sign.pngibspan.waw.pl
Veselina Bureva
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
vesito_kaAt sign.pngabv.bg
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 52-59
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Abstract: 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.
Keywords: Intuitionistic fuzzy evaluation, Intuitionistic fuzzy index matrix.
AMS Classification: 03E72.
References:
  1. Atanassov, K., Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
  2. Atanassov, K., On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
  3. Atanassov, K., On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
  4. Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  5. Atanassov, K., Extended intuitionistic fuzzy index matrices, Advanced Studies in Contemporary Mathematics (submitted).
  6. 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.
  7. 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.
  8. 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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