| 基于区间粗糙直觉模糊数的多属性决策方法 |
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| 引用本文： | 余高锋,刘文奇.基于区间粗糙直觉模糊数的多属性决策方法[J].运筹与管理,2015,24(4):23-29. |
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| 作者姓名： | 余高锋 刘文奇 |
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| 作者单位： | 1.三明学院 信息工程学院,福建 三明 365004;2.昆明理工大学 理学院,云南 昆明 650093 |
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| 基金项目： | 国家自然科学基金重点项目(71231003);国家自然科学基金项目(71171055,70871117);福建省自然基金项目(2012J012802,2015J01287);福建省教育厅科技项目(JA14295);福建省大学生创新创业训练计划项目(201311311023) |
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| 摘 要： | 研究了区间粗糙直觉模糊多属性决策。探讨了区间粗糙直觉模糊数的运算法则及其性质;定义了区间粗糙直觉模糊数的得分函数和精确函数,进而给出其排序方法;给出了区间粗糙直觉模糊数的变权算术平均和变权几何平均算子,并且建立了区间粗糙直觉模糊数的多属性决策模型;实例验证了所提出决策方法的有效性。
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| 关 键 词： | 区间粗糙直觉模糊数 多属性决策 集成算子变权向量 |
| 收稿时间： | 2013-06-24 |
Multi-attribute Decision Making Method Based on Interval-valued Rough Intuitionistic Fuzzy Number |
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| YU Gao-feng,LIU Wen-qi.Multi-attribute Decision Making Method Based on Interval-valued Rough Intuitionistic Fuzzy Number[J].Operations Research and Management Science,2015,24(4):23-29. |
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| Authors: | YU Gao-feng LIU Wen-qi |
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| Institution: | 1.School of Information, Sanming University, Saming 365004, China;2.School of Science, Kunming University of Science and Technology, Kunming650093, China |
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| Abstract: | Interval-valued rough intuitionistic fuzzy number is investigated. Some operational laws of interval-valued rough intuitionistic fuzzy numbers are defined and some related properties are researched, and the weighted arithmetic average operator and weighted geometric average operator for the interval-valued rough intuitionistic fuzzy numbers are given. The score function and accurate function of rough intuitionistic fuzzy numbers are defined, and then an approach for ranking interval-valued rough intuitionistic fuzzy numbers is presented. The model of multi-attribute decision making is constructed based on interval-valued rough intuitionistic fuzzy numbers. The corresponding method of decision making is proposed. The example analysis shows the effectiveness of the method. |
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| Keywords: | interval-valued rough intuitionistic fuzzy number multi-attribute decision making aggregation operator variable-weight vector |
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