当前位置: X-MOL 学术Int. J. Fuzzy Syst. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Three-Way Decisions with Intuitionistic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators
International Journal of Fuzzy Systems ( IF 4.3 ) Pub Date : 2019-08-22 , DOI: 10.1007/s40815-019-00718-7
Peide Liu , Hongyu Yang

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.

中文翻译:

基于广义Maclaurin对称均值算子的直觉不确定语言决策理论粗糙集的三向决策

作为三路决策(3WD)的典型模型,决策理论粗糙集(DTRS)受到了决策领域研究人员的广泛关注。直觉不确定语言变量(IULV)结合了直觉模糊集(IFSs)和不确定语言变量(ULVs)的优点,IULV在决策过程中更灵活地处理不确定信息,并为获得损失函数提供了一种新颖的方法( LF)的DTRS。为了获得更全面的结果,提出了一种新的3WD模型来解决多属性小组决策(MAGDM)问题。首先,我们给出了带有IULV的DTRS的LF,将IULV与广义Maclaurin对称均值(GMSM)结合起来,并提出IULGMSM和WIULGMSM算子来汇总决策信息。进一步,我们提出了一种直觉不确定语言DTRS模型。然后,构造了一种推论新的DTRS模型的方法,该方法可以对每种选择的决策结果给出相应的语义解释。最后,通过一个例子详细阐述了该方法,并讨论了不同条件概率对决策结果的影响。
更新日期:2019-08-22
down
wechat
bug