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Transportation and assignment models play significant role in logistics and supply chain management for reducing cost and time, for better service. In this paper, a fuzzy multi objective assignment problem using linear programming model is developed. The reference functions of L-R fuzzy numbers of fuzzy multi objective assignment problem are considered being linear and non-linear functions. This paper develops a procedure to derive the fuzzy objective value of the fuzzy multi objective assignment problem, in that the fuzzy cost coefficients, the fuzzy time and fuzzy quality are L-R fuzzy numbers. The method is illustrated with an example by various cases.

Fuzzy Multi Objective Assignment Linear Programming Problem based on L-R fuzzy Numbers