Some Maclaurin Symmetric Mean Operators Based on Neutrosophic Linguistic Numbers for Multi-Attribute Group Decision Making

Liu, Peide; You, Xinli

doi:10.15388/Informatica.2018.189

Informatica

Some Maclaurin Symmetric Mean Operators Based on Neutrosophic Linguistic Numbers for Multi-Attribute Group Decision Making

Volume 29, Issue 4 (2018), pp. 711–732

Peide Liu Xinli You

https://doi.org/10.15388/Informatica.2018.189

Pub. online: 1 January 2018 Type: Research Article

Open Access

Received
1 September 2017

Accepted
1 April 2018

Published
1 January 2018

Abstract

Neutrosophic linguistic numbers (NLNs) can depict the uncertain and imperfect information by linguistic variables (LVs). As the classical aggregation operator, the Maclaurin symmetric mean (MSM) operator has its prominent characteristic that reflects the interactions among multiple attributes. Considering such circumstance: there are interrelationship among the attributes which take the forms of NLNs and the attribute weights are fully unknown in multiple attribute group decision making (MAGDM) problems, we propose a novel MAGDM methods with NLNs. Firstly, the MSM is extended to NLNs, that is, aggregating neutrosophic linguistic information by two new operators – the NLN Maclaurin symmetric mean (NLNMSM) operator and the weighted NLN Maclaurin symmetric mean (WNLNMSM) operator. Then, we discuss some characteristics and detail some special examples of the developed operators. Further, we develop an information entropy measure under NLNs to assign the objective weights of the attributes. Based on the entropy weights and the proposed operators, an approach to MAGDM problems with NLNs is introduced. Finally, a manufacturing industry example is given to demonstrate the effectiveness and superiority of the proposed method.

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Biographies

Liu Peide

Peide.liu@gmail.com

P. Liu received the BS and MS degrees in signal and information processing from Southeast University, Nanjing, China, in 1988 and 1991, respectively, and the PhD degree in information management from Beijng Jiaotong University, Beijing, China, in 2010. He is currently a professor with the School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong, China. He is an associate editor of the Journal of Intelligent and Fuzzy Systems, a member of the editorial board of the journal Technological and Economic Development of Economy, and a member of editorial boards of other 12 journals. He has authored or co-authored more than 250 publications. His research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

You Xinli

X. You received the BS degree in electronic commerce management, Shandong University of Finance and Economics, Jilin, China, in 2016. Now she is studying for master’s degree in management science and engineering, Shandong University of Finance and Economics, Shandong, China. She has authored or co-authored 4 publications. Her research interests include aggregation operators, fuzzy logic, fuzzy decision making, and their applications.

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Keywords

neutrosophic linguistic numbers Maclaurin symmetric mean (MSM) operator MAGDM

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