Wang, Reay-Chen; Fang, Hsiao-Hua Aggregate production planning with multiple objectives in a fuzzy environment. (English) Zbl 1053.90541 Eur. J. Oper. Res. 133, No. 3, 521-536 (2001). Summary: This work presents a novel fuzzy linear programming (FLP) method for solving the aggregate production planning (APP) problem with multiple objectives where the product price, unit cost to subcontract, work force level, production capacity and market demands are fuzzy in nature. Also discussed herein are limitations of applying the conventional mathematical programming technique to medium-term production planning. In addition, the specific FLP model is proposed. Moreover, an interactive solution procedure is developed to provide a compromise solution. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed procedure. The proposed procedure allows a decision maker to model a problem according to the current information. The proposed model is more appropriate than the unfuzzy problem formulation in terms of reflecting a realistic situation. Consequently, the information costs are generally decreased. Cited in 19 Documents MSC: 90C70 Fuzzy and other nonstochastic uncertainty mathematical programming 90C05 Linear programming 90B30 Production models 90B50 Management decision making, including multiple objectives Keywords:Fuzzy sets; Linear programming; Fuzzy linear programming; Aggregate production planning PDF BibTeX XML Cite \textit{R.-C. Wang} and \textit{H.-H. Fang}, Eur. J. Oper. Res. 133, No. 3, 521--536 (2001; Zbl 1053.90541) Full Text: DOI References: [1] Eilon, S., Five approaches to aggregate production planning, AIIE Transactions, 7, 118-131 (1975) [2] Goodman, D. A., A goal programming approach to aggregate planning of production and work fore, Management Science, 20, 1569-1575 (1974) · Zbl 0303.90023 [3] Hanssmann, F.; Hess, S. W., A linear programming approach to production and employment scheduling, Management Science, 1, 46-51 (1960) [4] Lee, Y. Y., A fuzzy linear programming approach to aggregate production planning, Journal of the Chinese Institute of Industrial Engineers, 10, 1, 25-32 (1993) [5] Masud, A. S.M.; Hwang, C. L., An aggregate production planning model and application of three multiple objectives decision methods, International Journal of Production Research, 18, 741-752 (1980) [6] Ramik, J.; Rimanek, J., Inequality between fuzzy numbers and its use in fuzzy optimization, Fuzzy Sets and Systems, 16, 123-138 (1985) · Zbl 0574.04005 [8] Rommelfanger, H., Fuzzy linear programming and applications, European Journal of Operational Research, 92, 512-527 (1996) · Zbl 0914.90265 [9] Slowinski, R., A multicriteria fuzzy linear programming method for water supply system development planning, Fuzzy Sets and Systems, 19, 217-237 (1986) · Zbl 0626.90085 [10] Tingley, G. A., Can MS/OR sell itself well enough?, Interfaces, 17, 41-52 (1987) [12] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606 [13] Zimmermann, H. J., Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1, 45-55 (1977) · Zbl 0364.90065 [14] Zimmermann, H. J., Fuzzy Sets, Decision Making and Expert Systems (1987), Kluwer Academic Publishers: Kluwer Academic Publishers Boston, MA 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.