| 用关联度和海明距离确定多目标优化问题的最优解 |
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| 引用本文： | 刘学中,崔岚.用关联度和海明距离确定多目标优化问题的最优解[J].西南石油学院学报,1990(1). |
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| 作者姓名： | 刘学中 崔岚 |
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| 作者单位： | 西南石油学院机械工程系
(刘学中)，西南石油学院机械工程系(崔岚) |
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| 摘 要： | 本文提出了一种用灰色系统关联度概念来确定两模糊子集隶属函数形状间的差异程度,并用海明(Hamming)距离确定两隶属函数间的接近程度,从而确定出多个有效解中的最优解的方法。其作法是:将多目标优化问题的理想解(由各单目标最优解构成)和有效解(非劣解)模糊化,求得各个模糊有效解与模糊理想解间的关联度和Hamming距离。最后,通过排序打分法确定出有效解中的最优解。
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| 关 键 词： | 有效解 关联度 海明距离 排序打分 |
A METHOD OF DETERMINING MULTIPLE-GOAL OPTIMAL SOLUTION BY INCIDENCE DEGREE AND HAMMING DISTANCE |
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| Liu Xuezheng Cui Lan.A METHOD OF DETERMINING MULTIPLE-GOAL OPTIMAL SOLUTION BY INCIDENCE DEGREE AND HAMMING DISTANCE[J].Journal of Southwest Petroleum Institute,1990(1). |
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| Authors: | Liu Xuezheng Cui Lan |
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| Affiliation: | Department of Mechanical Engineering |
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| Abstract: | In this paper, we use a concept of grey system incidence degree to determine the difference degree between the membership function shapes of two fuzzy subsets and use Hamming distance to determine the close degree between the two membership functions, and thus to determine the optimal solution in the efficient solutions. The step is that the ideal solutions(consisting of the single-object optimal solutions)and efficient solutions(not bad solutions)of multiple-object optimazation questions are made fuzzy to obtain the incidence degree and Hamming distance between separate fuzzy efficient solutions and fuzzy ideal solutions. In the end, optimal solution in the efficient solutins can be determined by ordering and marking. |
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| Keywords: | Efficient solution Incidence degree Hamming distance Ordering and marking |
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