Three-Way Decisions with Intuitionistic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators
Three-Way Decisions with Intuitionistic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators
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DOI：
10.1007/s40815-019-00718-7
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发表时间：
2020-03-01
影响因子：
4.3
通讯作者：
Yang, Hongyu
中科院分区：
文献类型：
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作者：
Liu, Peide;Yang, Hongyu
决策理论粗糙集作为一种典型的三向决策模型，受到决策领域研究者的广泛关注。直觉不确定语言变量（IULV）联合收割机结合了直觉模糊集（IFS）和不确定语言变量（ULV）的优点，在处理决策过程中的不确定信息时更加灵活，为DTRS损失函数（LF）的获取提供了一种新的手段。为了得到更全面的结果，提出了一种新的3WD模型来解决多属性群决策问题。首先，给出了带IULV的DTRS的LF，将IULV与广义麦克劳林对称均值（GMSM）相结合，提出了用于决策信息聚合的IULGMSM和WIULGMSM算子，进而提出了一种直觉不确定语言DTRS模型.在此基础上，构造了一种新的DTRS模型的推导方法，该方法能够对各方案的决策结果给出相应的语义解释。最后通过一个实例详细阐述了该方法，并讨论了不同条件概率对决策结果的影响。
As a typical model of three-way decisions (3WDs), decision-theoretic rough set (DTRS) has received extensive attention from researchers in the decision-making fields. Intuitionistic uncertain linguistic variables (IULVs) combine the advantages of intuitionistic fuzzy sets (IFSs) and uncertain linguistic variables (ULVs), IULV is more flexible in dealing with uncertain information in decision-making process, and provides a novel means for obtaining loss function (LF) of DTRSs. To get more comprehensive results, a new 3WD model is proposed to solve the multi-attribute group decision-making (MAGDM) problem. First, we gave the LF of DTRSs with IULVs, combined the IULVs and the generalized Maclaurin symmetric mean (GMSM), and proposed the IULGMSM and WIULGMSM operators to aggregate decision information; further, we proposed an intuitionistic uncertain linguistic DTRS model. Then, a method for deducing a new DTRS model is constructed, which can give the corresponding semantic interpretation of the decision results of each alternative. Finally, an example is applied to elaborate the proposed method in detail, and the effects of different conditional probabilities on decision results are discussed.