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Satisfying optimization method based on goal programming for fuzzy multiple objective optimization problem

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  • Li, Shaoyuan
  • Hu, Chaofang

Abstract

This paper proposes a satisfying optimization method based on goal programming for fuzzy multiple objective optimization problem. The aim of this presented approach is to make the more important objective achieving the higher desirable satisfying degree. For different fuzzy relations and fuzzy importance, the reformulated optimization models based on goal programming is proposed. Not only the satisfying results of all the objectives can be acquired, but also the fuzzy importance requirement can be simultaneously actualized. The balance between optimization and relative importance is realized. We demonstrate the efficiency, flexibility and sensitivity of the proposed method by numerical examples.

Suggested Citation

  • Li, Shaoyuan & Hu, Chaofang, 2009. "Satisfying optimization method based on goal programming for fuzzy multiple objective optimization problem," European Journal of Operational Research, Elsevier, vol. 197(2), pages 675-684, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:2:p:675-684
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    References listed on IDEAS

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    3. Chaofang Hu & Shaoyuan Li, 2006. "Enhanced Interactive Satisfying Optimization Approach To Multiple Objective Optimization With Preemptive Priorities," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 47-63.
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    4. Hung-Wen Cheng, 2013. "A satisficing method for fuzzy goal programming problems with different importance and priorities," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(1), pages 485-498, January.

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