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Symmetry
Volume 10
Issue 4
10.3390/sym10040127
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Article

Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making

by
Yushui Geng
1,*,
Xingang Wang
2,
Xuemei Li
2,
Kun Yu
2 and
Peide Liu
3,*
1
Graduate School, Qilu University of Technology, Jinan 250353, China
2
School of Information, Qilu University of Technology, Jinan 250353, China
3
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250353, China
*
Authors to whom correspondence should be addressed.
Symmetry 2018, 10(4), 127; https://doi.org/10.3390/sym10040127
Submission received: 10 April 2018 / Revised: 15 April 2018 / Accepted: 17 April 2018 / Published: 22 April 2018
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
Versions Notes

Abstract

There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance. Therefore, we introduce interval neutrosophic linguistic numbers (INLNs) to represent the less clear and uncertain information and give their operational rules and comparison methods. In addition, since the Maclaurin symmetric mean (MSM) operator has the special characteristic of capturing the interrelationships among multi-input arguments, we further propose an MSM operator for INLNs (INLMSM). Furthermore, considering the weights of attributes are the important parameters and they can influence the decision results, we also propose a weighted INLMSM (WINLMSM) operator. Based on the WINLMSM operator, we develop a multiple attribute decision making (MADM) method with INLNs and some examples are used to show the procedure and effectiveness of the proposed method. Compared with the existing methods, the proposed method is more convenient to express the complex and unclear information. At the same time, it is more scientific and flexible in solving the MADM problems by considering the interrelationships among multi-attributes.
Keywords: multiple attribute decision making (MADM); neutrosophic number; Maclaurin symmetric mean; linguistic variables multiple attribute decision making (MADM); neutrosophic number; Maclaurin symmetric mean; linguistic variables

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MDPI and ACS Style

Geng, Y.; Wang, X.; Li, X.; Yu, K.; Liu, P. Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making. Symmetry 2018, 10, 127. https://doi.org/10.3390/sym10040127

AMA Style

Geng Y, Wang X, Li X, Yu K, Liu P. Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making. Symmetry. 2018; 10(4):127. https://doi.org/10.3390/sym10040127

Chicago/Turabian Style

Geng, Yushui, Xingang Wang, Xuemei Li, Kun Yu, and Peide Liu. 2018. "Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making" Symmetry 10, no. 4: 127. https://doi.org/10.3390/sym10040127

APA Style

Geng, Y., Wang, X., Li, X., Yu, K., & Liu, P. (2018). Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making. Symmetry, 10(4), 127. https://doi.org/10.3390/sym10040127

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