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Issue:Intuitionistic fuzzy estimation of the doctoral comprehensive examination

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Title of paper: Intuitionistic fuzzy estimation of the doctoral comprehensive examination
Evdokia Sotirova
Prof. Asen Zlatarov University, Burgas-8000, Bulgaria
Anthony Shannon
Faculty of Engineering & IT, University of Technology, Sydney, NSW 2007, Australia
Sotir Sotirov
Prof. Asen Zlatarov University, Burgas-8000, Bulgaria

Maciej Krawczak
Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Systems Research Institute – Polish Academy of Sciences, Wyzsza Szkola Informatyki Stosowanej i Zarzadzania, Warsaw, Poland
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 119-125
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Abstract: This paper describes a method for determining an intuitionistic fuzzy estimation of PhD candidature using the theories of Index Matrices and Intuitionistic Fuzzy Sets. The estimated degrees of satisfaction of the criteria by candidates are clustered by a neural network. In this way the procedure for assessment of the candidates for the dissertation stage can be measured and analyzed.
Keywords: Intuitionistic Fuzzy Sets, Index Matrices, Self-organizing Maps.
AMS Classification: 03E72, 97M99
  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. Bureva V., E., Sotirova, K. Atanassov, New operations over intuitionistic fuzzy index matrices, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 4, 12-18.
  4. Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999.
  5. Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Studies in Fuzziness and Soft Computing, Vol. 283, Springer, Berlin, 2012.
  6. Reljin, I., B. Reljin, G.Jovanovic, Clustering and Mapping Spatial-Temporal Datasets Using SOM Neural Networks, Journal of Automatic Control, University of Belgrade, Vol. 13, 2003, No. 1, 55-60.
  7. Kohonen, T., Self-Organizing Maps. Series in Information Sciences, Vol.30, Springer, Heidelberg, 1995.
  8. Kohonen, T., J. Hynninen, J. Kangas, J. Laaksonen, SOM_PAK: The self-organizing map program package. Report A31. Helsinki University of Technology, Laboratory of Computer and Information Science, Espoo, Finland, 1996. [Available online at]
  9. Kaedi, M., M. Nematbakhsh, N. Ghasem-Aghaee, Fuzzy association rule reduction using clustering in SOM neural network, IADIS, European Conference Data Mining, 2008, 139–143.
  10. Mangiameli, P., S. K. Chen, D. West, A comparison of SOM neural network and hierarchical clustering methods, European Journal of Operational Research, Vol. 93, 1996, Issue 2, 402–417.
  11. Sotirova, E., S. Sotirov, I. Vardeva, B. Riečan, Publication’s assessment with intuitionistic fuzzy estimations, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 4, 26–31.
  12. Sotirova, E., Classification of the students’ intuitionistic fuzzy estimations by a 3-dimensional self organizing map, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 4, 64–68.
  13. Shannon, A., B. Riečan, E. Sotirova, M. Krawczak, K. Atanassov, P. Melo-Pinto, T. Kim, Modelling the process of PhD preparation using generalized nets, Proc. of 14th International Workshop on Generalized Nets, Burgas, 29–30 November 2013, 34–38.
  14. Shannon, A. G., Research degree supervision: ‘More mentor than master’, In: Postgraduate Studies, Postgraduate Pedagogy (Lee, A., B. Green, eds)., UTS, Sydney, 1998, 31–41.
  15. Trigwell, K., A. G. Shannon, R. Maurizi, Research-coursework Doctoral Programs in Australian Universities. Australian Government Publishing Service, Canberra, 1997.

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