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An interactive fuzzy programming system. (English) Zbl 0634.90076
Summary: An interactive system is introduced which supports a decision maker in solving programming models with crisp or fuzzy constraints and crisp or fuzzy goals. One part of the system is the determination of membership functions representing goals. To this purpose fuzzy extreme solutions are computed and are presented to the decision maker. These and each of the proposed compromise solutions are fuzzy-efficient.

MSC:
90C31Sensitivity, stability, parametric optimization
90B50Management decision making, including multiple objectives
03E72Fuzzy set theory
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References:
[1] Behringer, F. A.: A simplex based algorithm for the lexicographically extended linear maxmin problem. European J. Oper. res. 7, 274-283 (1981) · Zbl 0455.90053
[2] Bellman, R. E.; Zadeh, L. A.: Decision-making in a fuzzy environment. Management sci. 17 (1970) · Zbl 0224.90032
[3] Carlsson, Chr.: Handling conflicts in fuzzy multiple-criteria optimization. Interactive decision analysis (1984) · Zbl 0546.90049
[4] Dubois, D.; Prade, H.: Fuzzy sets and systems: theory and applications. (1980) · Zbl 0444.94049
[5] Hannan, E. L.: Linear programming with multiple fuzzy goals. Fuzzy sets and systems 6, 235-248 (1981) · Zbl 0465.90080
[6] Hwang, Ch.-L.; Masud, A. S. M.: Multiple objective decision-making, methods and applications. (1979) · Zbl 0397.90001
[7] Kacprzyk, J.: Multistage decision-making under fuzziness. (1983) · Zbl 0507.90023
[8] Nguyen, H. T.: Some mathematical tools for linguistic probabilities. Fuzzy sets and systems 2, 53-65 (1979) · Zbl 0401.68064
[9] Orlovsky, S. A.: On programming with fuzzy constraint sets. Kybernetes 6, 197-201 (1977) · Zbl 0369.90129
[10] Sakawa, M.: Interactive computer programs for fuzzy linear programming with multiple objectives. Internat. J. Man-machine stud. 18, 489-503 (1983) · Zbl 0513.90079
[11] Werners, B.: Interaktive entscheidungsunterst├╝tzung durch ein flexibles mathematisches programmierungssystem. (1984)
[12] Yager, R. R.: Mathematical programming with fuzzy constraints and a preference on the objective. Kybernetes 8, 109-114 (1979) · Zbl 0424.90080
[13] Zadeh, L. A.: On fuzzy algorithms. Memorandum no. ERL-M325 (1972) · Zbl 0305.94001
[14] Zeleny, M.: Multiple criteria decision-making. (1982) · Zbl 0588.90019
[15] Zimmermann, H. -J.: Fuzzy programming and linear programming with several objective functions. Fuzzy sets and systems 1, 45-55 (1978) · Zbl 0364.90065
[16] Zimmermann, H. -J.: Fuzzy mathematical programming. Comput. oper. Res. 10, 291-298 (1983)
[17] Zimmermann, H. -J.; Zysno, P.: Decisions and evaluations by hierarchical aggregation of information. Fuzzy sets and systems 10, 243-260 (1983) · Zbl 0519.90049