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A Hybrid Interactive Technique For The MCDM Problems

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Essays In Decision Making

Abstract

An interactive technique proposed in this paper allows the decision maker to use different search principles depending on his/her perception of the achieved values of the objectives and trade-offs. While an analysis of values of the objectives may guide the initial search for a satisfactory Solution, it can be replaced by trade-off evaluations at some later stages of interactive decision making.

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References

  • D’Ambrosio, B. (1989). Qualitative Process Theory Using Linguistic Variables, Springer Verlag, New York.

    Google Scholar 

  • Bell, D., Raiffa, H., Tversky, A. (1988). Decision Making: Descriptive, Normative, and Prescriptive Interactions, Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Benayoun, R., De Montgolfier, J., Tergny, J., Laritchev, O. (1971). öLinear programming with multiple objective functions: Step Method (STEM)ö, Mathematical Programming, 8, 366–375.

    Article  Google Scholar 

  • Chankong, V., Haimes, Y.Y. (1983). Multiobjective Decision Making. Theory and Methodology, Elsevier, New York.

    Google Scholar 

  • Choo, E.U., Atkins, D.R. (1983). öProper efficiency in nonconvex programmingö, Mathematics of Operations Research, 8, 467–470.

    Article  Google Scholar 

  • Evans, G.W. (1984). öAn overview of techniques for solving multiobjective mathematical programsö, Management Science, 30, 1268–1282.

    Article  Google Scholar 

  • French, S. (1986). Decision Theory: An Introduction to the Mathematics of Rationality, Eltis Horwood, Chichester.

    Google Scholar 

  • Gardiner, L.R., Steuer, R.E. (1994). öUnified interactive multiple objective programmingö, European Journal of Operational Research, 74, 391–406.

    Article  Google Scholar 

  • Geoffrion, A.M. (1968). öProper efficiency and the theory of vector maximizationö, Journal of Mathematical Analysis and its Applications, 22 618–630.

    Article  Google Scholar 

  • Geoffrion, A.M., Dyer, J.F., Feinberg, A. (1972). öAn interactive approach for multi-criterion optimization, with an application to the operation of the academic departmentö, Management Science, 19, 357–368.

    Article  Google Scholar 

  • Goicoechea, A., Hansen, D.R., Duckstein, L. (1982). Multiobjective Decision Analysis with Engineering and Business Applications, John Wiley, New York.

    Google Scholar 

  • Ignizio, J.P. (1982). Linear Programming in Single and Multiple Objective Systems, Prentice Hall, Englewood Cliffs.

    Google Scholar 

  • Kaliszewski, I. (1987). öA modified weighted Tchebycheff metric for multipleobjective programmingö, Computers and Operations Research, 14, 315–323.

    Article  Google Scholar 

  • Kaliszewski, I. (1994). Quantitative Pareto Analysis by Cone Separation Technique, Kluwer Academic Publishers, Dordrecht.

    Book  Google Scholar 

  • Kaliszewski, I., Michalowski, W. (1995). öGeneration of outcomes with selectively bounded trade-offsö, Foundations of Computing and Decision Sciences, 20, 113–122.

    Google Scholar 

  • Kaliszewski, I., Michalowski, W. (1996). öEfficient solutions and bounds on trade-offsö, accepted for publication in Journal of Optimization Theory and Applications.

    Google Scholar 

  • Kersten, G., Noronha, S-(1996). öThe goodness of decision making: in search of the universal measureö, Journal of Multicriteria Decision Analysis, 5, 12–15.

    Google Scholar 

  • Korhonen, P., Laakso, J. (1986). öA visual interactive method for solving the multiple criteria problemö, European Journal of Operational Research, 24, 277–287.

    Article  Google Scholar 

  • Kuipers, B. (1994). Qualitative Reasoning. Modelling and Simulation with Incomplele Knowledge, MIT Press, Cambridge.

    Google Scholar 

  • Lewandowski, A., Wierzbicki, A.P. (eds) (1989). Aspiration Based Deci-sion Support Systems, Theory, Software, Applications, Lecture Notes in Economics and Mathematical Systems, 331, Springer Vertag, Berlin.

    Google Scholar 

  • Michalowski, W. (1987). öEvaluation of multiple criteria interactive programming approach: an experimentö, INFOR, 25, 165–173.

    Google Scholar 

  • Michalowski, W. (1988). öUse of the displaced worst compromise in interactive multiobjective programmingö, IEEE Trans. Syst. Man Cybernet., 18, 472–477.

    Article  Google Scholar 

  • Michalowski, W., Szapiro, T. (1989). öA procedure for worst outcomes displacement in multiple criteria decision makingö, Computers and Operations Research, 16, 195–206.

    Article  Google Scholar 

  • Michalowski, W., Szapiro, T. (1992). ”A bi-reference procedure for interactive multiple criteria programming”, Operations Research, 40, 247–258.

    Article  Google Scholar 

  • Nakayama, H., Sawaragi, Y. (1984). öSatisficing trade-off method for multiobjective programmingö, Interactive Decision Analysis, (eds M. Grauer and A.P. Wierzbicki), Lecture Notes in Economics and Mathematical Systems, 229, 113–422, Springer Verlag, Berlin.

    Google Scholar 

  • Simon, H. (1956). öRational choice and the structure of the environmentö, Psychological Review, 63, 129–138.

    Article  Google Scholar 

  • Steuer, R.E. (1986). Multiple Criteria Optimization: Theory, Computation and Application, John Wiley, New York.

    Google Scholar 

  • Szidarovszky, F., Gershon, M.E., Duckstein, L. (1986). Techniques for Multiobjective Decision Theory,Elsevier, Amsterdam.

    Google Scholar 

  • Werther, H. (1994). Qualitative Reasoning. Modelling and the Generation of Behavior, Springer Verlag, New York.

    Google Scholar 

  • Wierzbicki, A.P. (1980). öThe use of reference objectives in multiobjective optimizationö, Multiple Criteria Decision Making; Theory and Applications, (eds G. Fandel and T. Gal), Lecture Notes in Economics and Mathematical Systems, 177, 468–486, Springer Verlag, Berlin.

    Google Scholar 

  • Yu, P.L. (1985). Multiple Criteria Decision Making: Concepts, Techniques and Extensions, Plenum Press, New York.

    Google Scholar 

  • Zeleny, M. (1982). Multiple Criteria Decision Making, McGraw-Hill, New York.

    Google Scholar 

  • Zionts, S., Wallenius J. (1983). öAn interactive multiple objective linear programming method for a class of underlying nonlinear Utility functionsö, Management Science, 29, 519–529.

    Article  Google Scholar 

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Kaliszewski, I., Michalowski, W., Kersten, G. (1997). A Hybrid Interactive Technique For The MCDM Problems. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds) Essays In Decision Making. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60663-2_4

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  • DOI: https://doi.org/10.1007/978-3-642-60663-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64499-3

  • Online ISBN: 978-3-642-60663-2

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