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Interactive Approach for Solving Multi-level Multi- objective Quadratic Fractional Programming Problems with Fuzzy Parameters in the Constraints |
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PP: 265-276 |
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doi:10.18576/jsap/110120
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Author(s) |
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F. A. Farahat,
M. A. El Sayed,
M. A. Elsisy,
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Abstract |
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| This paper presents an interactive approach for solving multi-level multi-objective quadratic fractional programming problems with fuzzy parameters in the constraints. Firstly, the concept of α-cut is applied to transform the fuzzy mathematical problem into a common deterministic one. Then, the quadratic fractional objective functions in each level are transformed into non-linear objective functions based on a proposed transformation. Secondly, the interactive approach was extended to solve such problem. Finally, an illustrative numerical example is introduced to demonstrate the applicability and performance of the proposed approach.
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