文章基本信息

标题：Linguistic Pythagorean Einstein Operators and Their Application to Decision Making
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作者：Yuan Rong ; Zheng Pei ; Yi Liu 等
期刊名称：Information
电子版ISSN：2078-2489
出版年度：2020
卷号：11
期号：1
页码：46-68
DOI：10.3390/info11010046
出版社：MDPI Publishing
摘要：Linguistic Pythagorean fuzzy (LPF) set is an efficacious technique to comprehensively represent uncertain assessment information by combining the Pythagorean fuzzy numbers and linguistic variables. In this paper, we define several novel essential operations of LPF numbers based upon Einstein operations and discuss several relations between these operations. For solving the LPF numbers fusion problem, several LPF aggregation operators, including LPF Einstein weighted averaging (LPFEWA) operator, LPF Einstein weighted geometric (LPFEWG) operator and LPF Einstein hybrid operator, are propounded; the prominent characteristics of these operators are investigated as well. Furthermore, a multi-attribute group decision making (MAGDM) approach is presented on the basis of the developed operators under an LPF environment. Ultimately, two application cases are utilized to demonstrate the practicality and feasibility of the developed decision approach and the comparison analysis is provided to manifest the merits of it.
关键词：multi-attribute group decision making; Linguistic Pythagorean fuzzy set; aggregation operator; Einstein operations multi-attribute group decision making ; Linguistic Pythagorean fuzzy set ; aggregation operator ; Einstein operations