Affiliations: Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang Province, P.R. China
Correspondence:
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Corresponding author. Jun Ye, Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China. Tel.: +86 575 88327323; E-mail: [email protected].
Abstract: To describe the linguistic neutrosophic information with uncertain variables in the complex decision-making problems, this paper originally defines the concept of a linguistic neutrosophic uncertain number (LNUN). The LNUN consists of three uncertain linguistic variables given by three neutrosophic linguistic numbers to describe the truth, falsity, and indeterminacy linguistic information independently. Then, both the basic operational laws of LNUNs and the score and accuracy functions of LNUNs are presented for the ranking of LNUNs. After that, two operators including a LNUN weighted arithmetic averaging (LNUNWAA) operator and a LNUN weighted geometric averaging (LNUNWGA) operator are developed to aggregate LNUN information. Based on the aggregation operators, a novel multiple attribute group decision-making (MAGDM) method is established under a LNUN environment. Finally, an example of investment decision is illustrated to demonstrate the application and the effectiveness of the developed method.
Keywords: Linguistic neutrosophic uncertain number, linguistic neutrosophic uncertain number weighted arithmetic averaging operator, linguistic neutrosophic uncertain number weighted geometric averaging operator, score function, accuracy function, multiple attribute group decision-making, neutrosophic linguistic number
