Abstract
In this paper, two new extensions of TOPSIS method for Group decision makers and Interval data are presented. In particular, the behavior of some past contributions when using Nadir point at the place of anti ideal point is studied. Otherwise, through simulation studies and simulation, which are mainly based upon smart random instances, a comparison between four algorithms is carried out, its purpose is to show the most effective one.
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References
V. Belton, T. Stewart, Multiple Criteria Decision Analysis: An Integrated Approach (Springer Science & Business Media, Berlin, 2002)
D. Bouyssou, B. Roy, Aide à la décision multicritère : méthodes et cas. Economica (1993)
J.P. Brans, B. Mareschal. PROMETHEE-Gaia : une méthodologie d’aide à la décision en présence de critères multiples. Ellipes (2001)
H. Deng, C.H. Yeh, R.J. Willis, Inter-company comparison using modified TOPSIS with objective weights. Comput. Oper. Res. 27, 963–973 (2000)
J.S. Dyer, Remarks on the analytic hierarchy process. Manag. Sci. 36, 249–258 (1990a)
J.S. Dyer, A clarification of remarks on the analytic hierarchy process. Manag. Sci. 36, 274–275 (1990b)
C.L. Hwang, K. Yoon, Multiple Attribute Decision Making: Methods and Applications (Springer, New York, 1981)
G.R. Jahanshahloo, F.H. Lofti, M. Izadikhah, An algorithmic method to extend topsis for decision making problems with interval data. Appl. Math. Comput. 175, 1375–1384 (2006)
W.D. Keyser, P. Peeters, A note on the use of promethee mcdm methods. Eur. J. Oper. Res. 0, 457–461 (1996)
S. Opricovic, G.-H. Tzeng, Compromise solution by mcdm methods: A comparative analysis of vikor and topsis. Eur. J. Oper. Res. 156, 445–455 (2004)
E. Roszkowska, Multi-criteria decision making models by applying the topsis method to crisp and interval data. Mult. Criteria Decision Mak. 6, 200–230 (2011)
E. Roszkowska, T. Wachowicz, Negotiation support with fuzzy topsis. Group Decision Negot (2012)
E. Roszkowska, T. Wachowicz, Application of fuzzy topsis to scoring the negotiation offers in ill-structured negotiation problems. Eur. J. Oper. Res. 242(3), 920–932 (2015)
H.S. Shih, H.J. Shyur, E.S. Lee, An extension of topsis for group decision making. Math. Comput. Model. 45, 801–813 (2007)
R. Steuer, Multiple Criteria Optimization : Theory, Computation and Applications (Wiley, New-York, 1985)
E. Triantaphyllou, MCDM Decision Making Methods: A Comparative Study. Ellipses (1989)
E. Triantaphyllou, MCDM Decision Making Methods: A Comparative Study (Kluwer Academic Publishers, Dordrecht, 2000)
E.K. Zavadskas, Z. Turskis, J. Tamosaitiene, Construction risk assessment of small scale objects by applying the topsis method with attributes values determined at intervals. in The 8th International Conference Reliability and Statistic in Transportation and Communication (2008)
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Zhor, C., Moncef, A. (2018). Reference Points in TOPSIS Methods for Group Decision Makers & Interval Data: Study and Comparison. In: Vaz, A., Almeida, J., Oliveira, J., Pinto, A. (eds) Operational Research. APDIO 2017. Springer Proceedings in Mathematics & Statistics, vol 223. Springer, Cham. https://doi.org/10.1007/978-3-319-71583-4_28
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DOI: https://doi.org/10.1007/978-3-319-71583-4_28
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