Werners, Brigitte An interactive fuzzy programming system. (English) Zbl 0634.90076 Fuzzy Sets Syst. 23, 131-147 (1987). 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. Cited in 34 Documents MSC: 90C31 Sensitivity, stability, parametric optimization 90B50 Management decision making, including multiple objectives 03E72 Theory of fuzzy sets, etc. Keywords:interactive system; fuzzy constraints; compromise solutions PDF BibTeX XML Cite \textit{B. Werners}, Fuzzy Sets Syst. 23, 131--147 (1987; Zbl 0634.90076) Full Text: DOI 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, (Grauer, M.; Wierzbicki, A. P., Interactive Decision Analysis (1984), Springer: Springer Berlin) · Zbl 0546.90049 [4] Dubois, D.; Prade, H., Fuzzy Sets and Systems: Theory and Applications (1980), Academic Press: Academic Press New York · 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), Springer: Springer Berlin [7] Kacprzyk, J., Multistage Decision-Making under Fuzziness (1983), Verlag TÜV Rheinland: Verlag TÜV Rheinland Köln · 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 Entscheidungsunterstützung durch ein Flexibles Mathematisches Programmierungssystem (1984), Minerva Publikation: Minerva Publikation München [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), Electronics Research Laboratory, College of Engineering, University of California: Electronics Research Laboratory, College of Engineering, University of California Berkeley 94720) · Zbl 0182.33301 [14] Zeleny, M., Multiple Criteria Decision-Making (1982), McGraw-Hill: McGraw-Hill New York · 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.