Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making

Changxing Fan, Sheng Feng and Keli Hu
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Changxing Fan: Department of Computer Science, Shaoxing University, Shaoxing 312000, China
Sheng Feng: Department of Computer Science, Shaoxing University, Shaoxing 312000, China
Keli Hu: Department of Computer Science, Shaoxing University, Shaoxing 312000, China

Mathematics, 2019, vol. 7, issue 5, 1-12

Abstract: 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.

Keywords: multiple attribute group decision making (MAGDM); Linguistic neutrosophic; LNN Einstein weighted-average operator; LNN Einstein weighted-geometry (LNNEWG) operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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