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**Aggregate production planning with multiple objectives in a fuzzy environment.**
*(English)*
Zbl 1053.90541

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.

### MSC:

90C70 | Fuzzy and other nonstochastic uncertainty mathematical programming |

90C05 | Linear programming |

90B30 | Production models |

90B50 | Management decision making, including multiple objectives |

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\textit{R.-C. Wang} and \textit{H.-H. Fang}, Eur. J. Oper. Res. 133, No. 3, 521--536 (2001; Zbl 1053.90541)

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### References:

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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.