On solving linear programs with the ordered weighted averaging objective

European Journal of Operational Research

Volumn 148, Issue 1, 2003, Pages 80-91

  Ogryczak, Włodzimierz ^a   Śliwiński, Tomasz ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Equity; Lexicographic maximin; Linear programming; Multiple criteria; Ordered weighted averaging

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; FUZZY SETS; LINEAR PROGRAMMING; PROBLEM SOLVING;

ORDERED WEIGHTED AVERAGING (OWA);

DECISION MAKING;

EID: 0037411079     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(02)00399-5     Document Type: Article

References (21)

1. Bell D.E., Raiffa H. Risky choice revisited. Bell D.E., Raiffa H., Tversky A. Decision Making: Descriptive, Normative and Prescriptive Interactions. 1988;99-112 Cambridge University Press, Cambridge.
2. Dubois D., Fortemps Ph., Pirlot M., Prade H. Leximin optimality and fuzzy set-theoretic operations. European Journal of Operational Research. 130:2001;20-28.
3. Fodor J., Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support. 1994;Kluwer Academic Publishers, Dordrecht.
4. Glover F., Klingman D. The simplex SON method for LP/embedded network problems. Mathematical Programming Study. 15:1981;148-176.
5. ILOG Inc., Using the CPLEX Callable Library, ILOG Inc., CPLEX Division, Incline Village, 1997.
6. Isermann H. Linear lexicographic optimization. OR Spektrum. 4:1982;223-228.
7. Kostreva M.M., Ogryczak W. Linear optimization with multiple equitable criteria. RAIRO Operations Research. 33:1999;275-297.
8. Luss H. On equitable resource allocation problems: Alexicographic minimax approach. Operations Research. 47:1999;361-378.
9. Marchi E., Oviedo J.A. Lexicographic optimality in the multiple objective linear programming: The nucleolar solution. European Journal of Operational Research. 57:1992;355-359.
10. Ogryczak W. On the lexicographic minimax approach to location problems. European Journal of Operational Research. 100:1997;566-585.
11. Ogryczak W. Inequality measures and equitable approaches to location problems. European Journal of Operational Research. 122:2000;374-391.
12. Ogryczak W. Multiple criteria linear programming model for portfolio selection. Annals of Operations Research. 97:2000;143-162.
13. W. Ogryczak, A. Tamir, Minimizing the sum of the k largest functions in linear time, submitted for publication.
14. Steuer R.E. Multiple Criteria Optimization. - Theory Computation and Applications:1986;John Wiley and Sons, New York.
15. Wierzbicki A.P., Makowski M., Wessels J. Model Based Decision Support Methodology with Environmental Application. 2000;Kluwer Academic Publishers, Dordrecht.
16. Yager R.R. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems Man and Cybernetics. 18:1988;183-190.
17. Yager R.R. Constrained OWA aggregation. Fuzzy Sets ans Systems. 81:1996;89-101.
18. Yager R.R. On the analytic representation of the Leximin ordering and its application to flexible constraint propagation. European Journal of Operational Research. 102:1997;176-192.
19. Yager R.R., Filev D.P. Essentials of Fuzzy Modeling and Control. 1994;John Wiley and Sons, New York.
20. Yager R.R., Kacprzyk J. The Ordered Weighted Averaging Operators: Theory and Applications. 1997;Kluwer Academic Publishers, Dordrecht.
21. Zimmermann H.-J. Fuzzy Sets Theory and Its Applications. third ed. 1996;Kluwer Academic Publishers, Dordrecht.