文献类型：期刊文献

英文题名：Pythagorean Fuzzy Linguistic Power Generalized Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Group Decision-Making

作者：Chen, Junhui[1,2];Zhang, Runtong[1]

第一作者：Chen, Junhui

通讯作者：Zhang, RT[1]

机构：[1]Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China;[2]Henan Univ Econ & Law, Sch E Commerce & Logist Management, Zhengzhou 450000, Henan, Peoples R China

第一机构：Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China

通讯机构：[1]corresponding author), Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China.

年份：2022

卷号：10

起止页码：115033-115050

外文期刊名：IEEE ACCESS

收录：;EI(收录号：20223312569575);Scopus(收录号：2-s2.0-85135752429);WOS:【SCI-EXPANDED(收录号:WOS:000880590100001)】；

基金：This work was supported by the National Social Science Foundation of China under Grant 18ZDA086.

语种：英文

外文关键词：Linguistics; Decision making; Fuzzy sets; Reliability; Symmetric matrices; Semantics; Pythagorean fuzzy linguistic sets; linguistic scale function; power average operator; generalized Maclaurin symmetric mean; multiple attribute group decision making

摘要：As an extension of Pythagorean fuzzy sets and linguistic term sets, Pythagorean fuzzy linguistic sets (PFSs) are powerful to describe decision-making information quantificational and qualitatively, which have received much scholars' attention. The purpose of this paper is to propose a new multiple attribute group decision-making (MAGDM) approach with Pythagorean fuzzy linguistic (PFL) information. To this end, we firstly analyze the drawbacks of existing operations of PFL numbers and propose new operational rules based on linguistic scale function. The power average (PA) operator is famous for its capacity of reducing the negative influence of unreasonable evaluation values provided by prejudiced decision makers on the decision results. The generalized Maclaurin symmetric mean (GMSM) can not only capture the interrelationship among multiple inputs but also manipulate the effect of related properties by adjusting the parameters. When considering aggregation operators of PFL numbers, we combine PA with GMSM and propose the PFL power generalized Maclaurin symmetric and the PFL power generalized weighted Maclaurin symmetric operators. We also study important properties and special cases of these operators. We continue to investigate MAGDM problems with PFL decision information and propose a novel method to determine the optimal alternative. Finally, we conduct numerical examples to demonstrate the effectiveness of our proposed method. We also attempt to illustrate the advantages and superiorities of the proposed method via comparative analysis.