On 3-dimensional Extended Index Matrices
Authors
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Professor Asen Zlatarov University, Professor Yakimov Blvd, Bourgas 8000 ,BG
Velichka Traneva -
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 105, Sofia-1113 ,BGKrassimir Atanassov
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Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamilnadu ,INR. Parvathi
DOI:
https://doi.org/10.15613/sijrs/2014/v1i2/67540Keywords:
Index Matrix Representation, Operations, Relations.Abstract
An extension of the concept of an Index Matrix (IM), called extended index matrices (EIMs) is introduced. Different operations over EIMs are also introduced.
References
Atanassov, K., “Conditions in generalized netsâ€, Proc. of the XIII Spring Conf. of the Union of Bulg. Math., Sunny Beach., pp. 219–226, Apr 1984.
Atanassov, K., “Generalized index matricesâ€, Compt. Rend. de l’Academie Bulg. Des. Sci., Vol. 40(11), 1987, p.15–18.
Atanassov K., “Intuitionistic fuzzy interpretations of multi-criteria, multi-person and multi-measurement tool decision makingâ€, Internat J. Syst Sci., pp. 859–868, 2005.
Atanassov K., “On Intuitionistic Fuzzy Sets Theoryâ€, Springer, Berlin, 2012.
Atanassov K., “Extended index matricesâ€, 7th IEEE International Conference on Intelligent Systems, Warsaw, 24–26 Sept. 2014 (in press).
Atanassov K., “On index matrices. Part 5: 3-dimensional index matricesâ€. Advanced Studies in Contemporary Mathematics (in press).
Atanassov K., “Index Matrices: Towards an Augmented Matrix Calculusâ€, Springer, Berlin,2014 (in press).
Atanassov K.E., Szmidt E., Kacprzyk J., “On intuitionistic fuzzy pairsâ€, Notes on Intuitionistic Fuzzy Sets, Vol. 19(3), pp.1–13. 2013.
Atanassov E., Szmidt E., Kacprzyk J., Bureva V., “Two examples for the use of 3-dimensional intuitionistic fuzzy index matricesâ€, Notes on Intuitionistic Fuzzy Sets, Vol. 20(2), pp. 52–59, 2014.
