| 犹豫模糊图及其在多属性决策中的应用* |
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| 引用本文： | 张超,李德玉.犹豫模糊图及其在多属性决策中的应用*[J].模式识别与人工智能,2017,30(11):1012-1018. |
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| 作者姓名： | 张超 李德玉 |
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| 作者单位： | 山西大学 计算机与信息技术学院 计算智能与中文信息处理教育部重点实验室 太原 030006 |
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| 基金项目： | 国家自然科学基金项目(No.61672331,61573231,61432011,U1435212,61303107,61272095)、山西省自然科学基金项目(No.201601D021076,201601D021072,2015021101,2015091001-0102)资助 |
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| 摘 要： | 犹豫模糊集作为定量描述犹豫不决的有效工具,通过同时处理不确定性信息中的犹豫性与模糊性,解决犹豫不决背景下的多属性决策问题.文中针对属性值为犹豫模糊数的多属性决策问题,研究基于模糊图论的相关模型与多属性决策方法.首先,提出犹豫模糊图的概念和部分常见运算规则.然后,构建基于犹豫模糊图的一般性多属性决策方法.最后,通过具体算例和对比性分析验证文中方法的合理性.
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| 关 键 词： | 犹豫模糊集 多属性决策 犹豫模糊图 |
| 收稿时间： | 2017-03-15 |
Hesitant Fuzzy Graph and Its Application to Multi-attribute Decision Making |
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| ZHANG Chao,LI Deyu.Hesitant Fuzzy Graph and Its Application to Multi-attribute Decision Making[J].Pattern Recognition and Artificial Intelligence,2017,30(11):1012-1018. |
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| Authors: | ZHANG Chao LI Deyu |
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| Affiliation: | 1.Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education,School of Computer and Information Technology, Shanxi University, Taiyuan 030006 |
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| Abstract: | As an effective tool for describing indecisiveness quantitatively, hesitant fuzzy sets deal with the hesitation and the fuzziness in uncertain information simultaneously to solve multi-attribute decision making problems under the background of indecisiveness. Aiming at multi-attribute decision making problems with hesitant fuzzy attribute values, the related model and the multi-attribute decision making approach based on the fuzzy graph theory are studied. Firstly, the concept of hesitant fuzzy graph and some common operational laws are presented. Then, a general hesitant fuzzy graph-based multi-attribute decision making method is established. Finally, an illustrative example and the comparative analysis are conducted to verify the feasibility of the proposed method. |
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| Keywords: | Hesitant Fuzzy Set Multi-attribute Decision Making Hesitant Fuzzy Graph |
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