On solving stochastic MADM problems

Authors

  • Ion Văduva University of Bucharest, Faculty of Maths and Computer Science, Bucharest, Romania
  • Cornel Resteanu National Institute for Research and Development in Informatics, Bucharest, Romania

DOI:

https://doi.org/10.2298/YJOR0901075V

Keywords:

Multiple attribute decision making, stochastic MADM problems, stochastic entries, entropy, informational energy

Abstract

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. (1993) BBTOPSIS: A bag based technique for order preference by similarity to ideal solution. Fuzzy Sets and Systems, 60(2): 143

Andrasiu, M., Baciu, A., Pascu, A., Puscas, E., Tasnadi, A. (1986) Multicriterial decision methods. Bucuresti: Tehnică

Bernardo, J.J., Blin, J.M. (1977) A programming model for consumer choice among multi-atributed brands. Journal of Consumer Research, (4) (2)

Hwang, C.L., Yoon, K.S. (1981) Multiple attribute decision making: Methods and applications. Berlin, itd: Springer Verlag

Onicescu, O., Stefănescu, V. (1979) Elements of informational statistics and applicationms. Bucureşti: Tehnică

Resteanu, C., Andreica, M., Văduva, I. (2006) Multi-attribute decision making: Complex simulation of the field. Revista Romănă de Automatică, vol. XIX, (2) 25-31

Roubens, M., Vincke, Ph. Performance modeling. Berlin: Springer Verlag

Soung, H.K., Chung, H.H. (1999) An interactive procedure for multi-attribute group decision making with incomplete information. Computers & Operations Research, 26(8): 755

Swenson, P.A., McCahon, C.S. (1991) A MADM justification of a budget reduction decision. Omega, 19(6): 539

Văduva, I. (1989) On probability distribution of values of a probability density function. Econ. Comput. Econ. Cybern. Studies and Res, 2-3, 63-68

Yoon, K., Wang, C.L. (1985) Manufacturing plant location analysis by multiple attribute decision making, part I: Single-plant strategy. International Journal of Production Research, 23(2): 345

Yu, P. (1985) Multiple criteria decision making. New York: Plenum

Zanakis, S., Solomon, H., Wishart, A., Dublish, N.S. (1998) Multi-attribute decision making: A simulation comparison of select methods. European Journal of Operational Research, vol. 107, str. 507-529

Zeleny, M., ur. (1976) Multiple criteria decision making. Berlin-Heidelberg - New York: Springer Verlag

Zeleny, M. (1982) Multiple criteria decision making. New York, itd: McGraw-Hill

Downloads

Published

2009-03-01

Issue

Section

Research Articles