| 基于证据理论和前景理论的犹豫-直觉模糊语言多准则决策方法 |
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| 引用本文： | 谭春桥,贾媛.基于证据理论和前景理论的犹豫-直觉模糊语言多准则决策方法[J].控制与决策,2017,32(2):333-339. |
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| 作者姓名： | 谭春桥 贾媛 |
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| 作者单位： | 中南大学商学院,长沙410083,中南大学商学院,长沙410083 |
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| 基金项目： | 国家自然科学基金项目(71271217)；湖南省杰出青年基金项目(2016JJ1024). |
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| 摘 要： | 在犹豫模糊语言和直觉模糊语言的基础上,提出一种新的犹豫-直觉模糊语言集,并定义得分函数、精确函数和Hamming距离公式.针对准则值为犹豫-直觉模糊语言的不确定多准则决策问题,构建基于证据理论和前景理论的拓展型VIKOR方法.该决策方法利用证据理论处理自然状态发生的概率未知的不确定状况,应用前景理论刻画人在做决策时的有限理性行为,使决策结果更能反映实际情况.最后,通过算例表明了所提出方法的有效性和可行性.
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| 关 键 词： | 犹豫-直觉模糊语言 证据理论 前景理论 VIKOR法 |
| 收稿时间： | 2015/12/26 0:00:00 |
| 修稿时间： | 2015/12/26 0:00:00 |
Multi-criteria decision-making method based on evidence theory and prospect theory for hesitant-intuitionistic fuzzy linguistic |
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| TAN Chun-qiao and JIA Yuan.Multi-criteria decision-making method based on evidence theory and prospect theory for hesitant-intuitionistic fuzzy linguistic[J].Control and Decision,2017,32(2):333-339. |
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| Authors: | TAN Chun-qiao and JIA Yuan |
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| Affiliation: | School of Business,Central South University,Changsha410083,China and School of Business,Central South University,Changsha410083,China |
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| Abstract: | As an extension of hesitant fuzzy linguistic and intuitionistic fuzzy linguistic, the hesitant-intuitionistic fuzzy linguistic set is proposed, and its score function, accuracy function and Hamming distance are also defined. In order to deal with uncertain multi-criteria decision-making problems under the hesitant-intuitionistic fuzzy linguistic environment, an extended VIKOR method based on the evidence theory and prospect theory is proposed. The evidence theory can well deal with the situation where the probability information is unknown. And the prospect theory takes bounded rationality into consideration, which can make the decision more realistic. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed method. |
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