| 摘要: |
| 针对准则权重未知的多准则群决策问题，提出了一种新的基于随机优势得到的优先度，在概率不确定语言术语集（Probabilistic Uncertain Linguistic Term Sets，PULTS）环境下，通过充分考虑决策者基于个人偏好对各个准则之间重要性给出的评价来确定准则权重，基于一致准则法提出的一个新的决策方法，综合考虑了专家在进行决策时的犹豫程度和所给评价本身蕴含的信息，在一定程度上减少了决策过程中的信息丢失。首先，在PULTS环境下，定义了不确定度和得分函数，实现了由语言集到数字的转化，并且利用得分函数确定了专家权重，进而得出综合得分矩阵；其次，将随机优势的定义规则应用到概率不确定语言集优先度的定义中，根据各个准则之间的优先度确定了准则的权重；最后，在一致准则决策法的基础上做了相关改进，并将其应用到了PULTS环境中，通过数值算例验证了新的决策方法的可行性和有效性。 |
| 关键词: 概率不确定语言术语集 准则权重 优先度 多准则群决策 |
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| A Consistent Criterion Decision making Method Based on the Priority of Probabilistic Uncertain Linguistic Term Sets |
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TU Cheng-feng, MAO Jun-jun, ZHANG Zui1,2
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1. School of Mathematical Science, Anhui Vniversity, Hefei 230601, China;2.2. Key Laboratory of Intelligence Computing and Signal Processing of Ministry of Education, Anhui University, Hefei 230601, China
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| Abstract: |
| Aiming at the multi criteria group decision making problem with unknown criteria weights, a new decision making method is proposed based on the priority obtained from the stochastic advantages, under the environment of Probabilistic Uncertain Linguistic Term Sets(PULTS), by determining the criteria weights through sufficiently considering decision makers’ evaluation on the importance between each criterion on the basis of individual preference, based on consistent criterion, and after comprehensively considering the hesitant degree when the experts make decision and the information in the evaluation made by the experts, which reduce the information loss in the process of decision making to some extent. Firstly, under PULTS environment, the uncertainty and score function are defined, the transformation from the linguistic set to number is realized, the expert weights are determined by using score function, and the comprehensive score matrix is further obtained. Secondly, the definition rule of stochastic advantages is applied to the definition of the priority of probabilistic uncertain linguistic set, and the weight of each criterion is determined according to the priority of each criterion. Finally, the related improvement is conducted on the basis of the consistent criterion decision making law and is applied to PULTS environment. The feasibility and effectiveness of the new decision making method are verified by numerical examples. |
| Key words: Probabilistic Uncertain Linguistic Term Sets criteria weight priority multi criteria group decision making |
