Incorporating preference information in interactive reference point methods for multiobjective optimization

Omega

Volumn 37, Issue 2, 2009, Pages 450-462

  Luque, Mariano ^a   Miettinen, Kaisa ^b,c   Eskelinen, Petri ^b   Ruiz, Francisco ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b HELSINKI SCHOOL OF ECONOMICS   (Finland)

^c UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

Decision making process; Interactive methods; Multicriteria; Multiple objectives; Weights

Indexed keywords

DECISION MAKING;

DECISION MAKERS; DECISION-MAKING PROCESS; INTERACTIVE METHODS; INTERACTIVE REFERENCE-POINT METHOD; MULTI-CRITERIA; MULTI-OBJECTIVES OPTIMIZATION; MULTIPLE-OBJECTIVES; PREFERENCE INFORMATION; REFERENCE POINTS; WEIGHT;

MULTIOBJECTIVE OPTIMIZATION;

EID: 46149114624     PISSN: 03050483     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.omega.2007.06.001     Document Type: Article

References (25)

1. Stewart T.J. A critical survey on the status of multiple criteria decision making theory and practice. Omega 20 5/6 (1992) 569-586
2. Vincke P. Multicriteria decision-aid (1992), Wiley, Chichester
3. Hwang C.-L., and Masud A.S.M. Multiple objective decision making-methods and applications (1979), Springer, Berlin, Heidelberg
4. Miettinen K. Nonlinear multiobjective optimization (1999), Kluwer Academic Publishers, Boston
5. Chankong V., and Haimes Y.Y. Multiobjective decision making theory and methodology (1983), Elsevier Science Publishing Co., Inc., New York
6. Sawaragi Y., Nakayama H., and Tanino T. Theory of multiobjective optimization (1985), Academic Press Inc., Orlando, FL
7. Wierzbicki A.P. A mathematical basis for satisficing decision making. Mathematical Modelling 3 (1982) 391-405
8. Miettinen K., and Mäkelä M.M. Comparative evaluation of some interactive reference point-based methods for multi-objective optimisation. Journal of the Operational Research Society 50 (1999) 949-959
9. Miettinen K., and Mäkelä M.M. On scalarizing functions in multiobjective optimization. OR Spectrum 24 (2002) 193-213
10. Korhonen P., and Laakso J. A visual interactive method for solving the multiple criteria problem. European Journal of Operational Research 24 (1986) 277-287
11. Nakayama H., and Sawaragi Y. Satisficing trade-off method for multiobjective programming. In: Grauer M., and Wierzbicki A.P. (Eds). Interactive decision analysis (1984), Springer, Berlin 113-122
12. Buchanan J.T. A Nai{dotless}̈ ve approach for solving MCDM problems: the GUESS method. Journal of the Operational Research Society 48 (1997) 202-206
13. Jaszkiewicz A., and Słowiński R. The 'light beam search' approach-an overview of methodology and applications. European Journal of Operational Research 113 (1999) 300-314
14. Miettinen K., and Mäkelä M.M. Synchronous approach in interactive multiobjective optimization. European Journal of Operational Research 170 (2006) 909-922
15. Benayoun R., de Montgolfier J., Tergny J., and Laritchev O. Linear programming with multiple objective functions: step method (STEM). Mathematical Programming 1 3 (1971) 366-375
16. Miettinen K., and Mäkelä M.M. Interactive bundle-based method for nondifferentiable multiobjective optimization: NIMBUS. Optimization 34 3 (1995) 231-246
17. Luque M., Caballero R., Molina J., and Ruiz F. Equivalent information for multiobjective interactive procedures. Management Science 53 1 (2007) 125-134
18. Ogryczak W., Wierzbicki A., and Milewski M. A multi-criteria approach to fair and efficient bandwidth allocation. Omega 36 3 (2008) 451-463
19. Wierzbicki A.P., Makowski M., and Wessels J. Model-based decision support methodology with environmental applications (1999), Kluwer, Dordrecht
20. Ehrgott M., and Tenfelde-Podehl D. Computation of ideal and nadir values and implications for their use in MCDM methods. European Journal of Operational Research 151 (2003) 119-139
21. Wierzbicki A.P. On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectrum 8 (1986) 73-87
22. Miettinen K., Mäkelä M.M., and Kaario K. Experiments with classification-based scalarizing functions in interactive multiobjective optimization. European Journal of Operational Research 175 (2006) 931-947
23. Köksalan M., and Karasakal E. An interactive approach for multiobjective decision making. Journal of the Operational Research Society 57 (2006) 532-540
24. Wierzbicki A.P. Reference point approaches. In: Gal T., Stewart T.J., and Hanne T. (Eds). Multicriteria decision making: advances in MCDM models, algorithms, theory, and applications (1999), Kluwer Academic Publishers, Boston pp. 9-1-9-39
25. Rothermel M.A., and Schilling D.A. A comparative study of three methods of eliciting preference information. Omega 12 (1984) 379-389