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A Fuzzy Goal Programming Approach for Solving Chance Constrained Bi-Level Multi-Objective Quadratic Fractional Programming Problem |
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PP: 27-35 |
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doi:10.18576/amisl/070104
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Author(s) |
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Haneefa Kausar,
Ahmad Yusuf Adhami,
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Abstract |
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| In this paper a chance constrained bi-level multi-objective quadratic fractional programming problem (BLMO-QFP) has been solved by using a fuzzy goal programming approach to get a compromise solution. Inside the model formation, individual best solutions of the quadratic fractional objective function to the equivalent deterministic constraints are used to formulate the quadratic fractional membership function. In this work, we convert the quadratic fractional programming model into equal non-linear quadratic problem with the help of Taylor series and the obtained quadratic problem is again converted into an equivalent linear membership function. Conclusively a numerical example is provided to expose the applicability and performance of the proposed method. |
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