文献类型：期刊文献

英文题名：Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers

作者：Fang, Zebo[1];Ye, Jun[2]

机构：[1]Shaoxing Univ, Dept Phys, 508 Huancheng West Rd, Shaoxing 312000, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Elect & Informat Engn, 508 Huancheng West Rd, Shaoxing 312000, Zhejiang, Peoples R China

年份：2017

卷号：9

期号：7

外文期刊名：SYMMETRY-BASEL

收录：SSCI(收录号：WOS:000407518300016)、SCI-EXPANDED(收录号：WOS:000407518300016)、、Scopus(收录号：2-s2.0-85022193737)、WOS

基金：This paper was supported by the National Natural Science Foundation of China (71471172, 51272159) and the Natural Science Foundation of Zhejiang province (LY15A040001).

语种：英文

外文关键词：linguistic neutrosophic number; score function; accuracy function; linguistic neutrosophic number weighted arithmetic averaging (LNNWAA) operator; linguistic neutrosophic number weighted geometric averaging (LNNWGA) operator; multiple attribute group decision-making

外文摘要：Existing intuitionistic linguistic variables can describe the linguistic information of both the truth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate and inconsistent linguistic information. To deal with the issue, this paper originally proposes the concept of a linguistic neutrosophic number (LNN), which is characterized independently by the truth, indeterminacy, and falsity linguistic variables. Then, we define the basic operational laws of LNNs and the score and accuracy functions of LNN for comparing LNNs. Next, we develop an LNN-weighted arithmetic averaging (LNNWAA) operator and an LNN-weighted geometric averaging (LNNWGA) operator to aggregate LNN information and investigate their properties. Further, a multiple attribute group decision-making method based on the proposed LNNWAA or LNNWGA operator is established under LNN environment. Finally, an illustrative example about selecting problems of investment alternatives is presented to demonstrate the application and effectiveness of the developed approach.