Bonferroni mean operators of linguistic neutrosophic numbers and their multiple attribute group decision-making methods

被引：36

作者：

Fan, Changxing ^{[1
]}

Ye, Jun ^{[2
]}

Hu, Keli ^{[1
]}

Fan, En ^{[1
]}

机构：

[1] Department of Computer Science, Shaoxing University, 508 Huancheng West Road, Shaoxing,Zhejiang,312000, China

[2] Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing,Zhejiang,312000, China

来源：

Information (Switzerland) | 2017年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Decision making;

D O I：

10.3390/info8030107

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

Linguistic neutrosophic numbers (LNN) is presented by Fang and Ye in 2017, which can describe the truth, falsity, and indeterminacy linguistic information independently. In this paper, the LNN and the Bonferroni mean operator are merged together to propose a LNN normalized weighted Bonferroni mean (LNNNWBM) operator and a LNN normalized weighted geometric Bonferroni mean (LNNNWGBM) operator and the properties of these two operators are proved. Further, multi-attribute group decision methods are introduced based on the proposed LNNNWBM and LNNNWGBM operators, and then an example is provided to demonstrate the application and validity of the proposed methods. In addition, in order to consider the effect of the parameters p and q on the decision results, different pairs of parameter values are employed to verify the decision results. © 2017 by the authors.

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