On solving stochastic MADM problems
DOI:
https://doi.org/10.2298/YJOR0901075VKeywords:
Multiple attribute decision making, stochastic MADM problems, stochastic entries, entropy, informational energyAbstract
The paper examines a MADM problem with stochastic attributes. The transformation of a stochastic MADM problem into a cardinal problem is done by the standardization of the probability distribution of each attribute X and calculating the information of each attribute as Shannon's entropy or Onicescu's informational energy. Some well known (performant) methods to solve a cardinal MADM problem are presented and a method for combining results of several methods to give a final MADM solution is discussed.References
Abdelawaheb, R., “BTOPSIS: a bag based technique for order preference by similarity to ideal solution”, Fuzzy Sets and Systems, 60 (1993) 143-162, North-Holland.
Andrasiu, M., Baciu, A., Pascu, A., Puscas, E., and Tasnadi, A., Multicriterial Decision Methods. (Roumanian), Ed. Tehnică, Bucuresti, 1986.
Bernardo, J.J., and Blin, J.M, “A programming model for consumer choice among multi-attributed brands”, Journal of Consumer Research, (4) (2) (1977).
Huang, C.L., and Yoon, K., Multiple Attribute Decision Making, Springer Verlag, Berlin Heidelberg, New York, 1981.
Onicescu, O., and Stefănescu, V., Elements of Informational Statistics and Applications, (Roumanian), (ed) Tehnică, Bucureşti, 1979.
Resteanu, C., Andreica, M., and Văduva, I., “Multi-Attribute Decision Making. Complex Simulation of the Field”, Revista Romănă de Automatică, Vol. XIX, (2) (2006) 25-31.
Roubens, M., and Vincke, Ph., Performance modelling, Springer Verlag, Berlin-Heidelberg.
Soung, H.K., and Chung, H.H., “An interactive procedure for multi-attribute group decision making with incomplete information”, Computers and Operations Research, 26 (1999) 755-772.
Swenson, P.A., and McCahon, C.S., “A MADM justification of a budget reduction decision”, OMEGA Int. J. of Mgmt Sci., (19) (6) 539-548.
Văduva, I., “On Probability Distribution of Values of a Probability Density Function”, Econ. Comput. Econ. Cybern. Studies and Res., (2-3) (1989) 63-68.
Yoon, K., and Wang, 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.
Yu, P., Multiple Criteria Decision Making, Plenum, New York, (1985).
Zanakis, S., Solomon, H., Wishart, A., and Dublish, N.S., “Multi-attribute decision making: A simulation comparison of select methods”, European Journal of Operational Research, 107, 507-529.
Zeleny, M., (ed), Multiple Criteria Decision Making, Springer Verlag, Berlin-Heidelberg, New York, 1976.
Zeleny, M., Multiple Criteria Decision Making, McGraw-Hill Book Company, New York, 1982.
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