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Fuzzy Programming Approach for Fractional Multi-Objective Transportation Problem with Impurity Constraints

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Executive Summary

Conventional optimization methods assume that all parameters and goals of an optimization model are precisely known. But for many practical problems there are incompleteness and unreliability of input information. This is caused to use fuzzy multi-objective optimization method with fuzzy parameters. In this paper, a Fractional Multi-objective Transportation Problem with Impurity Constraints having demand and supply constraints somewhat uncertain imprecise and vague in nature is formulated as Fractional Multi-objective Transportation Problem with Impurity Constraints with extreme tolerances. By using suitable transformation, an equivalent Multiobjective Linear Transportation Problem with Impurity Constraints is formulated which is transformed into an equivalent crisp model to determine an optimal solution of Fractional Multi-objective Transportation Problem with Impurity Constraints.

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