Issue:Using index matrices for handling multiple scenarios in decision making

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Title of paper: Using index matrices for handling multiple scenarios in decision making
Author(s):
Guy De Tré
Department of Telecommunications and Information Processing, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium
Guy.DeTreAt sign.pngUGent.be
Sławomir Zadrożny
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
zadroznyAt sign.pngibspan.waw.pl
Sotir Sotirov
Dept. of Computer Systems and Technologies, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
ssotirovAt sign.pngbtu.bg
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
kratAt sign.pngbas.bg
Presented at: 21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
Published in: "Notes on IFS", Volume 23, 2017, Number 2, pages 103—110
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Abstract: In a general setting, decision makers can face the situation where different criteria apply for the different options among which they have to choose the best one. We call such options scenarios. In this paper we study criteria evaluation in a multi-criteria decision method for the handling of different scenarios. A novel intuitionistic fuzzy evaluation method based on index matrices is proposed. This approach permits to efficiently handle the indifference caused by the inapplicability of criteria in specific scenarios. An illustrative example is provided.
Keywords: Multi-criteria decision making, Intuitionistic fuzzy evaluation, Aggregation.
AMS Classification: 03B52, 03B70.
References:
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  2. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  3. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham.
  4. Belton, V., & Stewart, T. J. (2002). Multiple Criteria Decision Analysis. Kluwer Academic Publ., Dordrecht, The Netherlands.
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  6. Triantaphyllou, E. (2000). Multi-Criteria Decision Making Methods: A Comparative Study. Kluwer Academic Publ., Dordrecht, The Netherlands.
  7. Xu, Z. S., (2007). Intuitionistic fuzzy aggregation operators, IEEE Trans. on Fuzzy Systems, 15, 1179–1187.
  8. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
  9. Zeleny, M. (1982). Multiple Criteria Decision Making. McGraw Hill, New York, USA.
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