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題名 | Optimization of Fuzzy Relational Equations with Convex Combination of Max-T-Norm and Max–Average Compositions=模糊關係方程式具最大-t-norm與最大-平均凸組合運算型式最佳化 |
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作 者 | 吳炎崑; | 書刊名 | 工業工程學刊 |
卷期 | 27:6 2010.11[民99.11] |
頁次 | 頁418-428 |
分類號 | 448.94 |
關鍵詞 | 模糊最佳化; 模糊關係方程式; 最大-t-norm運算型式; 最大-平均運算型式; 集合涵蓋問題; Fuzzy optimization; Fuzzy relational equations; Max-t-norm composition; Max–average composition; Set covering problem; |
語文 | 英文(English) |
英文摘要 | An optimization model with a linear objective function subject to fuzzy relational equations with a linear convex combination of max–min and max–average compositions has been presented in the literature. This study extends the same optimization model to a generalized fuzzy operator structured by the linear convex combination of max-t-norm and max–average compositions. Although many different results built on the max-t-norm composition, such as max–min and max-product compositions, are proposed, the properties generated from this convex combination operator are similar to the max–average composition, but different with max–min composition. Moreover, these properties enable us to convert the linear optimization problem into the set covering problem and solve by the 0–1 integer programming problem with simplified model. Numerical examples illustrate the extended results and solution procedures. |
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