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Int. J. Environ. Res. Public Health 2017, 14(12), 1561; doi:10.3390/ijerph14121561

The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables

1,2
,
1
and
1,2,*
1
School of Economics, Ocean University of China, Qingdao 266100, China
2
Ocean Development Research Institute, Major Research Base of Humanities and Social Sciences of Ministry of Education, Ocean University of China, Qingdao 266100, China
*
Author to whom correspondence should be addressed.
Received: 3 November 2017 / Revised: 6 December 2017 / Accepted: 6 December 2017 / Published: 13 December 2017
(This article belongs to the Special Issue Decision Models in Green Growth and Sustainable Development)
View Full-Text   |   Download PDF [348 KB, uploaded 13 December 2017]

Abstract

With respect to multi-attribute group decision-making (MAGDM) problems, where attribute values take the form of interval grey trapezoid fuzzy linguistic variables (IGTFLVs) and the weights (including expert and attribute weight) are unknown, improved grey relational MAGDM methods are proposed. First, the concept of IGTFLV, the operational rules, the distance between IGTFLVs, and the projection formula between the two IGTFLV vectors are defined. Second, the expert weights are determined by using the maximum proximity method based on the projection values between the IGTFLV vectors. The attribute weights are determined by the maximum deviation method and the priorities of alternatives are determined by improved grey relational analysis. Finally, an example is given to prove the effectiveness of the proposed method and the flexibility of IGTFLV. View Full-Text
Keywords: interval grey trapezoid fuzzy linguistic variables; grey relation analysis; multi-attribute group decision making interval grey trapezoid fuzzy linguistic variables; grey relation analysis; multi-attribute group decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Yin, K.; Wang, P.; Li, X. The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables. Int. J. Environ. Res. Public Health 2017, 14, 1561.

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