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This paper proposes a new multiple criteria decision-making method called ERVD (election based on relative value distances). The s-shape value function is adopted to replace the expected utility function to describe the risk-averse and risk-seeking behavior of decision makers. Comparisons and experiments contrasting with the TOPSIS (Technique for Order Preference by Similarity to the Ideal Solution) method are carried out to verify the feasibility of using the proposed method to represent the decision makers’ preference in the decision making process. Our experimental results show that the proposed approach is an appropriate and effective MCDM method.
Słowa kluczowe
Rocznik
Tom
Strony
299--315
Opis fizyczny
Bibliogr. 31 poz., tab.
Twórcy
autor
- Department of Information Management, Tamkang University 151, Yingzhuan Rd., Tamsui Dist., New Taipei City 25137, Taiwan
autor
- Department of Management Science, Tamkang University
autor
- Department of Management Science, Tamkang University
autor
- Department of Information Management, Tamkang University
Bibliografia
- [1] Baky, I.A., Abo-Sinna, M.A., TOPSIS for bi-level MODM problems, Applied Mathematical Modelling, 37, 2013, 1004-1015
- [2] Bernard, R., Classement et choix en présence de points de vue multiples (la méthode ELECTRE), La Revue d'Informatique et de Recherche Opérationelle (RIRO), 8, 1968, 57-75.
- [3] Chen, S. J., Hwang, C. L., Fuzzy Multiple Attribute Decision Making: Methods and Applications, Berlin: Springer-Verlag, Berlin, 1992.
- [4] Cheng, S., Chan, C. W., Huang, G. H., Using multiple criteria decision analysis for supporting decision of solid waste management. J. Environ. Sci. Health, 2002, 975-990.
- [5] Deng, H., Yehm, C. H., Willis, R. J., Inter-company comparison using modified TOPSIS with objective weights, Computers & Operations Research, 27, 2000, 963-973.
- [6] Edwards, K.D., Prospect theory: a literature review, International Review of Financial Analysis, 5, 1, 1996, 19-38.
- [7] Gomes, L. F. A. M., Lima, M., TODIM: basics and application to multicriteria ranking of projects with environmental impacts, Foundations of Computing And Decision Sciences, 16, 4, 1991, 113-127.
- [8] Gomes, L. F. A. M., Lima, M., From modeling individual preferences to multicriteria ranking of discrete alternatives: a look at prospect theory and the additive difference model. Foundations of Computing and Decision Sciences, 17, 3, 1992, 171-184.
- [9] Gomes, L. F. A. M., Rangel, L., An application of the TODIM method to the multicriteria rental evaluation of residential properties, European Journal of Operational Research, 193, 2009, 204-211.
- [10] Gomes L. F. A. M., Machado, M., Rangel, L., Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions, Annals of Operations Research, 211, 2013, 531-548.
- [11] Gurevich, G., Kliger, D., Levy, O., Decision-making under uncertainty - a field study of cumulative prospect theory, Journal of Banking & Finance, 33, 7, 2009, 1221-1229.
- [12] Hu, J., Chen P., Yang, L., Dynamic stochastic multi-criteria decision making method based on prospect theory and conjoint analysis, Management Science and Engineering, 8, 2013, 65-71.
- [13] Hwang, C. L., Yoon, K., Multiple attribute decision making. In: Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin,1981.
- [14] Ju, Y., Wang, A., Extension of VIKOR method for multi-criteria group decision making problem with linguistic information, Applied Mathematical Modelling, 37, 2013, 3112-3125.
- [15] Kahneman, D., Tversky, A., Prospect theory: an analysis of decision under risk. Econometrica, 47, 1979, 263-292.
- [16] Khamseh, A.A., Mahmoodi, M., A new fuzzy TOPSIS-TODIM hybrid method for green supplier selection using fuzzy time function, Advances in Fuzzy Systems, http://dx.doi.org/10.1155/2014/841405.
- [17] Kim, K. H., Relkin, N. R., Lee, K.M., Hirsch, J., Distinct cortical areas associated with native and second languages, Nature, 388, 1997, 171-174.
- [18] Kruskal J.B., Multidimensional scaling by optimizing goodness of fit to a non metric hypothesis, Psychometrika, 29, 1, 1964, 1-27.
- [19] Lai, Y. J., Liu, T.Y., Hwang, C. L., TOPSIS for MODM, European Journal of Operational Research, 76, 1994, 486- 500.
- [20] Lourenzutti, R., Krohling, R.A., The Hellinger distance in multicriteria decision making: an illustration to the TOPSIS and TODIM methods, Expert Systems with Applications, 41, 9, 2014, 4414-4421.
- [21] Opricovic, S., Multicriteria Optimization of Civil Engineering Systems, Faculty of Civil Engineering, Belgrade, 1998.
- [22] Opricovic S., Tzeng, G. H., Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS, European Journal of Operational Research, 156, 2, 2004, 445-455.
- [23] Saaty, T. L., The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
- [24] Shih, H. S., Shyur, H. J., Lee, E. S., An extension of TOPSIS for group decision making, Mathematical and Computer Modelling, 45, 2007, 801-813.
- [25] Tversky, A., Kahneman, D., Advances in prospect theory: cumulative representation of uncertainty, Journal of Risk and Uncertainty, 5, 4, 1992, 297-323.
- [26] Wang, J.Q., Wu,J.T., Wang, J., Zhang, H.U., Chen, X.H., Multi-criteria decisionmaking methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers, Soft Computing, Feb. 2015, in press.
- [27] Wang, Y. M., Luo, Y., On rank reversal in decision analysis, Mathematical and Computer Modelling, 49, 5-6, 2009, 1221-1229.
- [28] Yoon, K., A reconciliation among discrete compromise solutions, Journal of perational Research Society, 38, 3, 1987, 272-286.
- [29] Yoon, K., Hwang, C. L., Manufacturing plant location analysis by multiple attribute decision making: part I - single-plant strategy, International Journal of Production Research, 23, 1985, 345-359.
- [30] Yue, Z., An extended TOPSIS for determining weights of decision makers with interval numbers, Knowledge-Based Systems, 24, 2011, 146-153.
- [31] Zanakis, S. H., Solomon, A., Wishart, N., Dublish, S., Multi-attribute decision making: a simulation comparison of select methods, European Journal of Operational Research, 107, 1998, 507-529.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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