| 三角模糊数去模糊化对VIKOR妥协解的影响研究 |
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| 引用本文： | 糜万俊,江文奇,戴跃伟.三角模糊数去模糊化对VIKOR妥协解的影响研究[J].运筹与管理,2019,28(10):77-82. |
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| 作者姓名： | 糜万俊 江文奇 戴跃伟 |
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| 作者单位： | 1. 南京理工大学 自动化学院,江苏 南京 210094;2. 南京理工大学 经济管理学院,江苏,南京 210094 |
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| 基金项目： | 国家自然科学基金资助项目(71271116);教育部人文社科基金资助项目(17YJA630035) |
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| 摘 要： | 针对准则值和准则权重均为三角模糊数的多准则决策问题,研究了不同三角模糊数去模糊化方法适用的数学运算规则,应用VIKOR方法进行三角模糊数去模糊化的必要环节和前提条件,分析了去模糊化对群体效用值和个体遗憾值以及对妥协解的影响机制,给出了一种拓展的VIKOR方法的决策步骤,最后运用算例说明了方法的实施过程和有效性。
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| 关 键 词： | 多准则群决策 VIKOR 三角模糊数 妥协解 |
| 收稿时间： | 2018-05-18 |
Effect of Defuzzifying Triangular Fuzzy Number on Compromise Solutions in VIKOR |
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| JIANG Wen-qi,JIANG Wen-qi,DAI Yue-wei.Effect of Defuzzifying Triangular Fuzzy Number on Compromise Solutions in VIKOR[J].Operations Research and Management Science,2019,28(10):77-82. |
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| Authors: | JIANG Wen-qi JIANG Wen-qi DAI Yue-wei |
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| Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China;2. School of Economic and Management, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | According to the multi-criteria decision making problems in which the criteria and their weights are also triangular fuzzy numbers, the paper studies whether different defuzzification methods of triangular fuzzy numbers are suitable for the mathematical operational laws, the necessary steps and the preconditions of defuzzifying triangular fuzzy numbers in VIKOR, and the effect of defuzifying triangular fuzzy numbers on group utilities and individual regret and compromise solutions is also proposed. Then the decision steps of extension of VIKOR method are applied to solve the multi-criteria decision making problems. Finally, an example illustrates the procedures and effectiveness of the proposed method. |
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| Keywords: | multi-criteria group decision-making VIKOR triangular fuzzy number compromise solutions |
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