Belief interval interpretation of probabilistic linguistic term sets and a visual method for solving the preference problem in multicriteria group decision making
Belief interval interpretation of probabilistic linguistic term sets and a visual method for solving the preference problem in multicriteria group decision making
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DOI：
10.1002/int.22463
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发表时间：
2021-05
影响因子：
7
通讯作者：
Yuanxiang Dong;Xiaoting Cheng;Zeshui Xu;Weijie Chen;Hongbo Shi;Ke Gong
中科院分区：
文献类型：
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作者：
Yuanxiang Dong;Xiaoting Cheng;Zeshui Xu;Weijie Chen;Hongbo Shi;Ke Gong
针对概率语言项集（PLTS）在多准则群决策（MCGDM）中的应用，提出一种求解偏好问题的方法。首先，给出了PLTS的置信区间解释，这使得可以将PLTS上的数学运算表示为置信区间上的运算。这可以降低决策者的知识和认知差异造成的信息不确定程度。在此基础上，提出了两种置信区间测度的方法。一种是距离测度，利用距离测度得到各决策者的准则权重，从而识别出决策者对准则的偏好。另一个是概率度，用于确定决策者对方案的偏序关系，识别决策者对方案的偏好。其次，利用Dempster组合规则和图论，构造了一个可视化算法来解决PLTS应用中的MCGDM偏好问题。最后，通过应急物资调配方案的选择和对比分析，验证了该方法的有效性。
For the application of probabilistic linguistic term sets (PLTSs) in multicriteria group decision making (MCGDM), this paper aims to develop an approach to solve the preference problem. First, a belief interval interpretation of PLTSs is presented, which makes it possible to represent the mathematical operations on PLTSs as the operations on belief intervals. This can reduce the uncertainty degree of information caused by the differentiated knowledge and cognitions of decision makers. Then, two methods of belief interval measure are proposed. One is the distance measure, which is utilized to obtain the criteria weights of each decision maker, so as to recognize the preferences for criteria. The other is the probability degree, which is used to get the partial order relation for alternatives of each decision maker, and to recognize the preferences for alternatives. Next, employing Dempster's rule of combination and graph theory, a visual algorithm is constructed to solve the MCGDM preference problem in the application of PLTSs. Finally, an illustrative example for the selection of emergency materials deployment scheme and the comparative analyses are shown to demonstrate the effectiveness of the proposed method.