Open Access Open Access  Restricted Access Subscription Access

On 3-dimensional Extended Index Matrices


Affiliations
1 Professor Asen Zlatarov University, Professor Yakimov Blvd, Bourgas 8000, Bulgaria
2 Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 105, Sofia-1113, Bulgaria
3 Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamilnadu, India
 

An extension of the concept of an Index Matrix (IM), called extended index matrices (EIMs) is introduced. Different operations over EIMs are also introduced.

Keywords

Index Matrix Representation, Operations, Relations.
User
Notifications
Font Size


  • Atanassov, K., “Conditions in generalized nets”, Proc. of the XIII Spring Conf. of the Union of Bulg. Math., Sunny Beach., pp. 219–226, Apr 1984.
  • Atanassov, K., “Generalized index matrices”, 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 making”, Internat J. Syst Sci., pp. 859–868, 2005.
  • Atanassov K., “On Intuitionistic Fuzzy Sets Theory”, Springer, Berlin, 2012.
  • Atanassov K., “Extended index matrices”, 7th IEEE International Conference on Intelligent Systems, Warsaw, 24–26 Sept. 2014 (in press).
  • Atanassov K., “On index matrices. Part 5: 3-dimensional index matrices”. Advanced Studies in Contemporary Mathematics (in press).
  • Atanassov K., “Index Matrices: Towards an Augmented Matrix Calculus”, Springer, Berlin,2014 (in press).
  • Atanassov K.E., Szmidt E., Kacprzyk J., “On intuitionistic fuzzy pairs”, 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 matrices”, Notes on Intuitionistic Fuzzy Sets, Vol. 20(2), pp. 52–59, 2014.

Abstract Views: 267

PDF Views: 161




  • On 3-dimensional Extended Index Matrices

Abstract Views: 267  |  PDF Views: 161

Authors

Velichka Traneva
Professor Asen Zlatarov University, Professor Yakimov Blvd, Bourgas 8000, Bulgaria
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 105, Sofia-1113, Bulgaria
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamilnadu, India

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.

Keywords


Index Matrix Representation, Operations, Relations.

References





DOI: https://doi.org/10.15613/sijrs%2F2014%2Fv1i2%2F67540