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Multiple objective linear fractional programming. – A fuzzy set theoretic approach. (English) Zbl 0786.90088

Summary: A method for optimizing a multiobjective linear fractional programming problem is developed which yields always an efficient solution.

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming

Software:

Expert Choice
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References:

[1] Hwang, C. L.; Masud, A. S.M., Multiple Objective Decision Making — Methods and Applications (1979), Springer-Verlag: Springer-Verlag Berlin-New York
[2] Hwang, C. L.; Yoom, K., Multiple Attribute Decision Making — Methods and Applications (1981), Springer-Verlag: Springer-Verlag Berlin-New York
[3] Forman, E.; Saaty, T. L., Expert Choice Software Package for IBM PC (1983-1990), Expert Choice, Inc: Expert Choice, Inc Pittsburgh, PA
[4] Choo, E. U.; Atkins, D. R., Bicriteria linear fractional programming, J. Optimization Theory and Appl., 36, 203-222 (1982) · Zbl 0452.90076
[5] Zimmermann, H.-J., Fuzzy Sets, Decesion Making and Expert Systems (1987), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht-Boston
[6] Nykowski, I.; Zolkiewski, Z., A compromise procedure for the multiple objective fractional programming problem, European J. Oper. Res., 19, 91-97 (1985) · Zbl 0555.90098
[7] Buckley, J. J., Fuzzy programming and multicriteria decision making, (Kacprzyk, J.; Orlovski, S. A., Optimization Models Using Fuzzy Sets and Possibility Theory (1987), Reidel: Reidel Dordrecht-Boston) · Zbl 0636.90086
[8] Kornbluth, J. S.H.; Stener, R. E., Goal programming with linear fractional criteria, European. J. Oper. Res., 8, 58-65 (1981) · Zbl 0486.90077
[9] Kornbluth, J. S.H.; Steuer, R. E., Multiple objective linear fractional programming, Management Sci., 27, 1024-1039 (1981) · Zbl 0467.90064
[10] Zadeh, L. A., The concept of a linguistic variable and its application to approximate reasoning, Part I, II, III, Inform. Sci., 9, 43-80 (1975) · Zbl 0404.68075
[11] Luhandjula, M. K., Compensatory operators in fuzzy linear programming with multiple objectives, Fuzzy Sets and Systems, 8, 245-252 (1982) · Zbl 0492.90076
[12] Luhandjula, M. K., Fuzzy approaches for multiple objective linear fractional optimization, Fuzzy Sets and Systems, 13, 11-23 (1984) · Zbl 0546.90094
[13] Sakawa, M.; Yano, H., An interactive fuzzy satisfying method for multiobjective linear fractional programming problems, Fuzzy Sets and Systems, 28, 129-144 (1988) · Zbl 0654.90089
[14] Tiwari, R. N.; Dharmar, S.; Rao, J. R., Fuzzy goal programming — An additive model, Fuzzy Sets and Systems, 24, 27 (1987) · Zbl 0627.90073
[15] Schaible, S., Fractional programming — Some recent developments, J. Inform. and Optimization Sci., 10, 1-14 (1989) · Zbl 0676.90080
[16] Saaty, T. L., A scale method for priorities in hierarchical structures, J. Math. Psychology, 15, 234-281 (1977) · Zbl 0372.62084
[17] Kuz’min, V. B., A parametric approach to description of linguistic values of variables and hedges, Fuzzy Sets and Systems, 6, 27-41 (1981)
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