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基于模糊语言评估的多属性决策方法
引用本文:徐泽水,达庆利.基于模糊语言评估的多属性决策方法[J].东南大学学报(自然科学版),2002,32(4):656-658.
作者姓名:徐泽水  达庆利
作者单位:东南大学经济管理学院,南京,210096
基金项目:国家自然科学基金资助项目 (79970 0 93 ),东南大学南瑞继保公司学位论文基金资助项目
摘    要:研究了属性权重确知,属性值以模糊语言形式给出的多属性决策问题,定义了一种模糊语言评估标度并给出其相应的区间数表达方式,利用区间数运算法则对各方案的属性值进行集结。基于区间数之间两两比较的可能度公式,构造可能变矩阵,并利用已有的排序公式求出其相应的排序向量。进而对决策方案进行排序和择优,最后进行了实例分析,数值结果表明:该方法可行且有效。

关 键 词:多属性决策方法  模糊语言评估  区间数  集结
文章编号:1001-0505(2002)04-0656-03

Multi-attribute decision making based on fuzzy linguistic assessments
Xu Zeshui,Da Qingli.Multi-attribute decision making based on fuzzy linguistic assessments[J].Journal of Southeast University(Natural Science Edition),2002,32(4):656-658.
Authors:Xu Zeshui  Da Qingli
Abstract:The multi attribute decision making problem, in which the attribute weights were precisely known and the attribute values were given in the forms of fuzzy linguistic assessments, was studied. A scale of the fuzzy linguistic assessments was defined and its corresponding representation of interval numbers was given. The fuzzy linguistic assessment information about each alternative was aggregated by utilizing the interval arithmetic. Based on the possibility degree formula for comparison between two interval numbers, the complementary judgement matrix is established and its priority vector is derived by using the given priority formula, and then the alternatives are ranked by using the vector. Finally, an illustrative example was given. Numerical results show that this approach is feasible and effective.
Keywords:fuzzy linguistic assessments  interval number  aggregation
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