Fuzzy modeling approach to aggregate production planning with multi-products

This paper focuses on a fuzzy approach in modeling and optimization for aggregate production planning problems with multi-product under fuzzy requirements and fuzzy capacities environment. By means of fuzzy addition and fuzzy equation, the production–inventory balance equations in single stage and dynamic balance equations are formulated as a soft equation in terms of a degree of truth and interpreted as the level of satisfaction with production and inventory planning to meet fuzzy demand. As a result, multi-product aggregate production planning problem with fuzzy demand and fuzzy capacity can be modeled into a fuzzy linear programming problem with fuzzy objective and fuzzy constraints. The fuzzy solution approach to the model is also proposed in the paper