| 引用本文: | 张洋铭,陈云翔,项华春,等.直觉模糊物元及其在权重信息未知多属性群决策中的应用.[J].国防科技大学学报,2017,39(5):150-156.[点击复制] |
| ZHANG Yangming,CHEN Yunxiang,XIANG Huachun,et al.Intuitionistic fuzzy matter-element and its application in multi attribute group decision-making with unknown weight[J].Journal of National University of Defense Technology,2017,39(5):150-156[点击复制] |
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| 直觉模糊物元及其在权重信息未知多属性群决策中的应用 |
| 张洋铭1, 陈云翔1, 项华春1, 赵志宁2, 刘念3 |
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(1. 空军工程大学 装备管理与安全工程学院， 陕西 西安 710051;2. 国防大学 联合作战学院， 河北 石家庄 050000;3.中国人民解放军94188部队， 陕西 西安 710051)
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| 摘要: |
| 针对传统物元分析理论无法应用于决策信息为直觉模糊数的多属性决策问题，提出直觉模糊物元分析模型以及用相对相似度代替传统方法中的关联函数来解决直觉模糊物元分析问题，进而完整阐述了直觉模糊物元多属性决策的方法步骤，并通过实例验证了该方法的有效性。特别是针对权重信息未知这一类较为复杂的多属性群决策问题，采用投影法和直觉模糊熵确定权重信息，并运用直觉模糊物元多属性决策方法进行了实例分析，证明了方法的实用性，为直觉模糊多属性群决策提供了一种新的思路。 |
| 关键词: 直觉模糊物元 权重信息未知 多属性决策 |
| DOI：10.11887/j.cn.201705024 |
| 投稿日期：2016-03-21 |
| 基金项目:“十二五”国防研究基金资助项目（513300102） |
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| Intuitionistic fuzzy matter-element and its application in multi attribute group decision-making with unknown weight |
| ZHANG Yangming1, CHEN Yunxiang1, XIANG Huachun1, ZHAO Zhining2, LIU Nian3 |
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(1. Equipment Management & Safety Engineering College, Air Force Engineering University, Xi′an 710051， China;2. Joint War College, National Defense University, Shijiazhuang 050000, China;3. The PLA Unit 94188， Xi′an 710051, China)
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| Abstract: |
| The intuitionistic fuzzy matter-element model with intuitionistic fuzzy decision information was proposed for the traditional matter-element theory which cannot be applied in intuitionstic fuzzy decision-making. It presented relative similarity to replace the traditional correlation function and then integrally described intuitionistic fuzzy matter-element multi-attribute decision-making method and its steps. An example was used to show the effectiveness of this method, especially it analyzed the multi-attribute group decision-making problem with unknown weight by using the projection method and intuitionistic fuzzy entropy to prove the practicability of this method.It is proved that the method presented here can offer a new approach to solve intuitionistic fuzzy multi-attribute group decision-making problems. |
| Keywords: intuitionistic fuzzy matter-element unknown weight multi-attribute group decision-making |
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