Optimization models for supply chain production planning under fuzziness

[EN] The aim of this chapter is to propose diverse fuzzy mathematical programming models based on the fuzzy set theory for supply chain production planning in a multi-product, multi-plant environment with fuzziness and capacity constraints. The proposed models consider fuzziness in demand and at the aspiration level of total costs. The main contribution of this chapter to the field of fuzzy sets is a practical application of flexible programming approaches (or fuzzy constraints) in linear programming with diverse aggregation schemes to the model originally proposed by McDonald and Karimi (1997)for supply chain production planning.This work has been funded by the Universitat Politècnica de València projects: ‘Material Requirement Planning Fourth Generation (MRPIV)’ (Ref. PAID-05-12) and ‘Quantitative Models for the Design of Socially Responsible Supply Chains under Uncertainty Conditions. 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