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Symmetry 2018, 10(5), 172; https://doi.org/10.3390/sym10050172 (registering DOI)

A Novel Approach to Multi-Attribute Group Decision-Making with q-Rung Picture Linguistic Information

1
School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China
2
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China
*
Author to whom correspondence should be addressed.
Received: 20 April 2018 / Revised: 10 May 2018 / Accepted: 14 May 2018 / Published: 18 May 2018
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
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Abstract

The proposed q-rung orthopair fuzzy set (q-ROFS) and picture fuzzy set (PIFS) are two powerful tools for depicting fuzziness and uncertainty. This paper proposes a new tool, called q-rung picture linguistic set (q-RPLS) to deal with vagueness and impreciseness in multi-attribute group decision-making (MAGDM). The proposed q-RPLS takes full advantages of q-ROFS and PIFS and reflects decision-makers’ quantitative and qualitative assessments. To effectively aggregate q-rung picture linguistic information, we extend the classic Heronian mean (HM) to q-RPLSs and propose a family of q-rung picture linguistic Heronian mean operators, such as the q-rung picture linguistic Heronian mean (q-RPLHM) operator, the q-rung picture linguistic weighted Heronian mean (q-RPLWHM) operator, the q-rung picture linguistic geometric Heronian mean (q-RPLGHM) operator, and the q-rung picture linguistic weighted geometric Heronian mean (q-RPLWGHM) operator. The prominent advantage of the proposed operators is that the interrelationship between q-rung picture linguistic numbers (q-RPLNs) can be considered. Further, we put forward a novel approach to MAGDM based on the proposed operators. We also provide a numerical example to demonstrate the validity and superiorities of the proposed method. View Full-Text
Keywords: q-rung picture linguistic set; Heronian mean; q-rung picture linguistic Heronian mean; multi-attribute group decision-making q-rung picture linguistic set; Heronian mean; q-rung picture linguistic Heronian mean; multi-attribute group decision-making
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Li, L.; Zhang, R.; Wang, J.; Shang, X.; Bai, K. A Novel Approach to Multi-Attribute Group Decision-Making with q-Rung Picture Linguistic Information. Symmetry 2018, 10, 172.

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