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## Applying the lexicographic maximum solution of min-product fuzzy relational inequalities for finding the optimal pricing with a fixed priority in a supply chain system | ||

Iranian Journal of Fuzzy Systems | ||

دوره 21، شماره 1، فروردین و اردیبهشت 2024، صفحه 19-31 اصل مقاله (421.2 K) | ||

نوع مقاله: Research Paper | ||

شناسه دیجیتال (DOI): 10.22111/ijfs.2023.44035.7759 | ||

نویسندگان | ||

Yan-Kuen Wu^{1}؛ Ching Feng Weng^{*} ^{2}؛ Yuan Teng Hsu^{3}؛ Wang Ming Xian^{4}
| ||

^{1}*School of International Business, Shaoxing Key Laboratory of Intelligent Monitoring and Prevention of Smart
City, Zhejiang Yuexiu University of Foreign Languages. | ||

^{2}Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwa | ||

^{3}Research Center of Finance, Shanghai Business School, Shanghai, China | ||

^{4}School of Digital Commerce, Zhejiang Yuexiu University of Foreign Languages | ||

چکیده | ||

Fuzzy relational inequalities composed by the min-product operation are established to model the optimal pricing with fixed priority in a single product supply chain system. The solution algorithm has been proposed for solving such an optimization problem and finding the optimal solution (is called lexicographic maximum solution). In this study, a novel approach is proposed to finding the optimal pricing with fixed priority in a single product supply chain system. This approach is based on new properties of solution set in a min-product fuzzy relational inequality. These new properties allow us directly determine the optimal value of variable without many duplicate checks in the solution procedure. A numerical example is provided to illustrate the procedure. | ||

کلیدواژهها | ||

Fuzzy relational inequalities؛ min-product operation؛ lexicographic maximum solution؛ optimal pricing | ||

مراجع | ||

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