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区间直觉模糊信息下的双向投影决策模型
引用本文:邵良杉,赵琳琳.区间直觉模糊信息下的双向投影决策模型[J].控制与决策,2016,31(3):571-576.
作者姓名:邵良杉  赵琳琳
作者单位:辽宁工程技术大学系统工程研究所,辽宁葫芦岛125000.
基金项目:

国家自然科学基金项目(71371091);辽宁省社会科学规划基金项目(L14BTJ004).

摘    要:

研究权重完全未知、评价信息为区间直觉模糊数的多准则决策问题. 考虑犹豫度影响, 给出备选方案与正理想方案、负理想方案形成的向量表达方式, 提出一种针对区间直觉模糊信息的向量投影测度方法; 构建基于方案投影总偏差最小的非线性规划准则权重确定模型; 给出基于方案投影的相对贴近度测算公式, 并以此对方案进行排序. 最后通过算例对比分析表明了所提出方法的有效性和可行性.



关 键 词:

多准则决策|区间直觉模糊集|双向投影|相对贴近度

收稿时间:2014/12/27 0:00:00
修稿时间:2015/3/22 0:00:00

Bidirectional projection method with interval-valued intuitionistic fuzzy information
SHAO Liang-shan ZHAO Lin-lin.Bidirectional projection method with interval-valued intuitionistic fuzzy information[J].Control and Decision,2016,31(3):571-576.
Authors:SHAO Liang-shan ZHAO Lin-lin
Abstract:

Considering the importance of the hesitation degree, a multiple criteria fuzzy decision making method based on interval-valued intuitionistic fuzzy number is proposed for the situations where the information about criteria weights is completely unknown. The vectors of an alternative, and an ideal(critical) alternative are defined. A bidirectional projection measure method is proposed, in which the criteria values are in the form of the interval-valued intuitionistic fuzzy set. An optimization model is established to obtain the criteria weights. A relative closeness degree formula based on the alternatives is presented in order to rank the alternatives. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.

Keywords:

multiple criteria analysis|interval-valued intuitionistic fuzzy set|bidirectional projection|relative closeness degree

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