Issue:An auxiliary technique for InterCriteria Analysis via a three dimensional index matrix

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Title of paper: An auxiliary technique for InterCriteria Analysis via a three dimensional index matrix
Author(s):
Peter Vassilev
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
peter.vassilevAt sign.pnggmail.com
Lyudmila Todorova
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
lptAt sign.pngbiomed.bas.bg
Velin Andonov
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
velin_andonovAt sign.pngyahoo.com


Presented at: 19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 71—76
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Abstract: In the present paper, a new auxiliary technique inspired by InterCriteria Analysis is proposed. It is also based on indexed matrices, however, since the considered estimates (again in the form of intuitionistic fuzzy pairs) are not pair-wise but triple-wise, it is three dimensional. The minimum number of required data needed to be stored, for the proposed technique, is given. The way the meaning of the obtained intuitionistic fuzzy pairs in the auxiliary method differs from that of the considered here implementation of the InterCriteria Analysis is also commented upon. Some properties of the proposed auxiliary technique are studied and possible applications are outlined.
Keywords: Intuitionistic fuzzy pair, InterCriteria Analysis, Index matrix.
AMS Classification: 03E72, 11C20.
References:
  1. Atanassov, K., Mavrov, D., & Atanassova, V. (2014) Intercriteria decision making: A new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets. Issues in IFSs and GNs, 11, 1–8.
  2. Atanassov, K. (2014) Index Matrices: Towards an Augmented Matrix Calculus, Springer International Publishing, Cham.
  3. Atanassov, K. (2014) On index matrices. Part 5: 3-dimensional index matrices. Advanced Studies in Contemporary Mathematics, 24(4), 423–432.
  4. Atanassov, K. (1987) Generalized index matrices, Comptes Rendus de l’Academie Bulgare des Sciences, 40(11), 15–18.
  5. Atanassov, K. (2010) On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, 20(2), 291–302.
  6. Atanassov, K. (2010) On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, 13(2), 121–126.
  7. Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
  8. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013) On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19, 2013(3), 1–13.
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