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Open AccessArticle

Single-Valued Neutrosophic Linguistic-Induced Aggregation Distance Measures and Their Application in Investment Multiple Attribute Group Decision Making

1
School of Economics, Fujian Normal University, Fuzhou 350117, China
2
School of Business, Ningbo University, Ningbo 315100, China
3
School of Management, Fudan University, Shanghai 200433, China
4
School of Business, Sichuan University, Chengdu 610064, China
5
College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 207; https://doi.org/10.3390/sym12020207
Received: 11 December 2019 / Revised: 15 January 2020 / Accepted: 18 January 2020 / Published: 2 February 2020
This paper studied the single-valued neutrosophic linguistic distance measures based on the induced aggregation method. Firstly, we proposed a single-valued neutrosophic linguistic-induced ordered weighted averaging distance (SVNLIOWAD) measure, which is a new extension of the existing distance measures based on the induced aggregation view. Then, based on the proposed SVNLIOWAD, a novel induced distance for single-valued neutrosophic linguistic sets, namely the single-valued neutrosophic linguistic weighted induced ordered weighted averaging distance (SVNLWIOWAD), was developed to eliminate the defects of the existing methods. The relationship between the two proposed distance measures was also explored. A multiple attribute group decision making (MAGDM) model was further presented based on the proposed SVNLWIOWAD measure. Finally, a numerical example concerning an investment selection problem was provided to demonstrate the usefulness of the proposed method under a single-valued neutrosophic linguistic environment and, then, a comparison analysis was carried out to verify the flexibility and effectiveness of the proposed work. View Full-Text
Keywords: single-valued neutrosophic linguistic set; distance measure; weighted induced aggregation; MAGDM; investment selection single-valued neutrosophic linguistic set; distance measure; weighted induced aggregation; MAGDM; investment selection
MDPI and ACS Style

Yu, G.; Zeng, S.; Zhang, C. Single-Valued Neutrosophic Linguistic-Induced Aggregation Distance Measures and Their Application in Investment Multiple Attribute Group Decision Making. Symmetry 2020, 12, 207.

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