2019年10月16日，数据恢复四川省重点实验室刘熠老师团队在《IEEE ACCESS》（IF：4.098，SCI二区）杂志发表题为《Multiattribute Group Decision-Making Approach With Linguistic Pythagorean Fuzzy Information》的研究论文。该研究提出了一种新的比较方法，并建立了一组Pythagorean 模糊信息聚合算子。在此基础上，针对权重信息完全未知（包括属性权重与专家权重均未知）的多属性群决策问题，建立了相应的具有Pythagorean 模糊信息的优化模型来确定权重。
Abstract: The purpose of this study is to construct the multi-attribute group decision making (MAGDM) approach with linguistic Pythagorean fuzzy information (LPFI) based on generalized linguistic Pythagorean fuzzy aggregation operators (GLPFA). To begin with, we define the generalized indeterminacy degree-preference distance of linguistic Pythagorean fuzzy numbers (LPFNs), on the basis of it, we build a new approach for ranking the alternatives after analysing the existed comparison rule. In addition, we introduce the new version of t-norms (TNs) and t-conorms (TCs) named linguistic Pythagorean t-norms (LPTNs) and linguistic Pythagorean t-conorms (LPTCs), which can be used to handle the LPFI; some special cases for LPTNs and LPTCs are obtained and they can deal with Pythagorean fuzzy information (PFI). Thirdly, we introduce the generalized linguistic Pythagorean fuzzy average aggregation operator (GLPFAA) based on LPTN and LPTC along with their properties are also investigated, whilst, some special cases of GLPAA are obtained when LPTN and LPTC take some special TNs and TCs. Finally, a MAGDM approach based on some LPTNs and LPTCs is constructed to deal with some MAGDM problems with unknown attributes'weights and experts' weights, before building the MAGDM approach, we define new cross-entropy to fix the experts's weights and use the maximizing deviation to calculate the attributes' weights based on the proposed indeterminacy degree-preference distance. Consequently, an illustrative example is provided in order to show the effectiveness and advantages of the proposed method and some comparisons are also carried out.
文章链接：https://ieeexplore.ieee.org/document/8854073
