文献类型：期刊文献

英文题名：Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making

作者：Fan, Changxing[1];Feng, Sheng[1];Hu, Keli[1]

机构：[1]Shaoxing Univ, Dept Comp Sci, Shaoxing 312000, Peoples R China

年份：2019

卷号：7

期号：5

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000472664400011)、、Scopus(收录号：2-s2.0-85073754406)、WOS

基金：This research was funded by the National Natural Science Foundation of China grant number [61603258], [61703280]; General Research Project of Zhejiang Provincial Department of Education grant number [Y201839944]; Public Welfare Technology Research Project of Zhejiang Province grant number [LGG19F020007]; Public Welfare Technology Application Research Project of Shaoxing City grant number [2018C10013].

语种：英文

外文关键词：multiple attribute group decision making (MAGDM); Linguistic neutrosophic; LNN Einstein weighted-average operator; LNN Einstein weighted-geometry (LNNEWG) operator

外文摘要：Linguistic neutrosophic numbers (LNNs) include single-value neutrosophic numbers and linguistic variable numbers, which have been proposed by Fang and Ye. In this paper, we define the linguistic neutrosophic number Einstein sum, linguistic neutrosophic number Einstein product, and linguistic neutrosophic number Einstein exponentiation operations based on the Einstein operation. Then, we analyze some of the relationships between these operations. For LNN aggregation problems, we put forward two kinds of LNN aggregation operators, one is the LNN Einstein weighted average operator and the other is the LNN Einstein geometry (LNNEWG) operator. Then we present a method for solving decision-making problems based on LNNEWA and LNNEWG operators in the linguistic neutrosophic environment. Finally, we apply an example to verify the feasibility of these two methods.