Weighting Coefficient Optimization Unification of Lexicographic Method in Fuzzy Multi -objective Optimization Design

doi:10.11835/j.issn.1674-4764.2006.03.015

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Weighting Coefficient Optimization Unification of Lexicographic Method in Fuzzy Multi -objective Optimization Design

更新时间：2023-11-28

- Weighting Coefficient Optimization Unification of Lexicographic Method in Fuzzy Multi -objective Optimization Design
- Journal of Civil and Environmental Engineering Vol. 28, Issue 3, Pages: 56-58(2006)
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- DOI：10.11835/j.issn.1674-4764.2006.03.015
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- Published：2006
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Weighting Coefficient Optimization Unification of Lexicographic Method in Fuzzy Multi -objective Optimization Design[J]. Journal of Civil and Environmental Engineering, 2006, 28(3): 56-58.
DOI：

Weighting Coefficient Optimization Unification of Lexicographic Method in Fuzzy Multi -objective Optimization Design[J]. Journal of Civil and Environmental Engineering, 2006, 28(3): 56-58. DOI： 10.11835/j.issn.1674-4764.2006.03.015.

摘要

分层序列法的分层带有一定的主观和经验性

因而对分层后的各子问题按重要性进行加权

运用子问题与理想解的贴近度确定较好的子问题解

以及由此而得到的优化权系数

使得模糊寻优更理性化。以三杆桁架的结构模糊优化为例证明了该方法的有效。

Abstract

The Lexicographic method has subjective and empirical character

so a weighting coefficient is introduced by considering the importance and proportion of each individual object

the preferable result of every individual object can be confirmed by comparing the degree of similarity between the perfect one and the ecumenic one and the Fuzzy optimization will be perfect.The effectiveness of these methods is illustrated by a fuzzy optimal design of the three-bar truss.

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