Methodology of Fuzzy Linear Symmetrical Bi-level Programming and its Application in Supply Chain Management

Abstract

<p class="Abstract" style="margin: 0cm 0cm 0pt;"><span style="font-size: x-small;"><span style="font-family: Times New Roman;"><span style="mso-fareast-language: ZH-CN;" lang="EN-US">Fuzzy linear symmetrical bi-level programming is the most extensive problem in multi-level programming. A new method based on tolerance degree has been introduced in this paper. The method </span><span lang="EN-US">mainly concerns the modeling of complicated Supply</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">Chain</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">with bi-level Stackelberg structure. We analyze </span><span style="mso-fareast-language: ZH-CN;" lang="EN-US">the reason</span><span lang="EN-US"> lead to uncertainties in supply chain, summarize</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">methods of dealing with uncertainties, and present a fuzzy bi-level</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">programming modeling method which could not only describe the</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">layered structure but also construct the uncertainties. An actual</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">mathematical model based on fuzzy bi-level programming is applied</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">in supply chain</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> management</span><span lang="EN-US">. At last, a numerical example is given to prove</span><span style="mso-fareast-language: ZH-CN;" lang="EN-US"> </span><span lang="EN-US">the validity of the new method. </span></span></span></p

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