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Open AccessArticle

Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making

Department of Computer Science, Shaoxing University, Shaoxing 312000, China
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Mathematics 2019, 7(5), 389; https://doi.org/10.3390/math7050389
Received: 28 March 2019 / Revised: 24 April 2019 / Accepted: 25 April 2019 / Published: 28 April 2019
(This article belongs to the Special Issue New Challenges in Neutrosophic Theory and Applications)
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. View Full-Text
Keywords: multiple attribute group decision making (MAGDM); Linguistic neutrosophic; LNN Einstein weighted-average operator; LNN Einstein weighted-geometry (LNNEWG) operator multiple attribute group decision making (MAGDM); Linguistic neutrosophic; LNN Einstein weighted-average operator; LNN Einstein weighted-geometry (LNNEWG) operator
MDPI and ACS Style

Fan, C.; Feng, S.; Hu, K. Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making. Mathematics 2019, 7, 389.

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