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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

Chao Tian, Wen Yu Zhang, Shuai Zhang and Juan Juan Peng
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Chao Tian: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Wen Yu Zhang: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Shuai Zhang: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Juan Juan Peng: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China

Mathematics, 2019, vol. 7, issue 1, 1-16

Abstract: With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined. Then, the improved single-valued neutrosophic projection is developed, and the corresponding improved single-valued neutrosophic bidirectional projection and single-valued neutrosophic bidirectional projection difference are investigated. Moreover, the partial ordering relation of SVNSs is developed. Secondly, an extended QUALIFLEX method based on an improved single-valued neutrosophic projection measure is proposed to handle MCDM problems in which the weights of criteria are completely unknown. Finally, an example for selection of a green supplier, as well as a performance comparison analysis, are provided to demonstrate the effectiveness of the proposed method.

Keywords: single-valued neutrosophic sets; multi-criteria decision-making; projection; QUALIFLEX (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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