模糊层次分析法中权重求解的线性目标规划模型

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	英文篇名：A linear goal programming model for weight calculation in fuzzy AHP 作者：闫利军 ; 樵军谋 ; 徐坚 ; 梁辉 英文作者：YAN Li-jun;QIAO Jun-mou;XU Jian;LIANG Hui; 关键词：模糊层次分析法 ; 方案评价 ; 权重求解 ; 线性目标规划 中文刊名：JXGY 英文刊名：Manufacturing Automation 机构：西北机电工程研究所; 出版日期：2018-09-25 出版单位：制造业自动化 年：2018 期：v.40 语种：中文; 页：JXGY201809026 页数：4 CN：09 ISSN：11-4389/TP 分类号：113-115+123

摘要

作为层次分析法(AHP)的扩展,模糊层次分析法(fuzzy AHP,FAHP)在不确定性信息处理方面较层次分析法有了很大提高,它符合实际的设计决策情形且能体现决策者真正的思维过程,因此被广泛地用于解决产品方案评价等多属性决策等问题。然而,FAHP应用中的一个瓶颈问题是模糊判断矩阵中元素的权重求解。对此已有较多学者进行了研究,并提出了多种权重求解方法,这些方法大都非常复杂而难以使用,限度分析法虽然求解简单,易于使用,但却被证明有时会产生错误的结果而误导决策者做出错误的决策。为此,以模糊判断矩阵的不一致性程度最小为目标,以权重必须满足的条件为约束,建立了一种FAHP中权重求解的线性目标规划模型,通过该模型的求解,能够获得使模糊判断矩阵一致性程度最高的元素期望权重。实例计算说明目标规划模型能够获得合理可靠的元素权重,同时通过和限度分析法计算的结果进行比较,指出了后者结果的错误性。
        

引文

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