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Symmetry 2019, 11(1), 56; https://doi.org/10.3390/sym11010056

Methods for Multiple-Attribute Group Decision Making with q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers

1
,
1
,
1,* and 2,*
1
School of Business, Sichuan Normal University, Chengdu 610101, China
2
School of Finance, Yunnan University of Finance and Economics, Kunming 650221, China
*
Authors to whom correspondence should be addressed.
Received: 15 November 2018 / Revised: 24 December 2018 / Accepted: 26 December 2018 / Published: 6 January 2019
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Abstract

In the practical world, there commonly exist different types of multiple-attribute group decision making (MAGDM) problems with uncertain information. Symmetry among some attributes’ information that is already known and unknown, and symmetry between the pure attribute sets and fuzzy attribute membership sets, can be an effective way to solve this type of MAGDM problem. In this paper, we investigate four forms of information aggregation operators, including the Hamy mean (HM) operator, weighted HM (WHM) operator, dual HM (DHM) operator, and the dual-weighted HM (WDHM) operator with the q-rung interval-valued orthopair fuzzy numbers (q-RIVOFNs). Then, some extended aggregation operators, such as the q-rung interval-valued orthopair fuzzy Hamy mean (q-RIVOFHM) operator; q-rung interval-valued orthopairfuzzy weighted Hamy mean (q-RIVOFWHM) operator; q-rung interval-valued orthopair fuzzy dual Hamy mean (q-RIVOFDHM) operator; and q-rung interval-valued orthopair fuzzy weighted dual Hamy mean (q-RIVOFWDHM) operator are presented, and some of their precious properties are studied in detail. Finally, a real example for green supplier selection in green supply chain management is provided, to demonstrate the proposed approach and to verify its rationality and scientific nature. View Full-Text
Keywords: multiple attribute group decision making (MAGDM); Pythagorean fuzzy set (PFSs); q-rung orthopair fuzzy sets (q-RIVOFSs); q-RIVOFWHM operator; q-RIVOFWDHM operator; green suppliers selection multiple attribute group decision making (MAGDM); Pythagorean fuzzy set (PFSs); q-rung orthopair fuzzy sets (q-RIVOFSs); q-RIVOFWHM operator; q-RIVOFWDHM operator; green suppliers selection
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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Wang, J.; Gao, H.; Wei, G.; Wei, Y. Methods for Multiple-Attribute Group Decision Making with q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers. Symmetry 2019, 11, 56.

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