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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 |
| 修稿时间： | 2015-03-22 |
Bidirectional projection method with interval-valued intuitionistic fuzzy information |
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| 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. Anoptimization 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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