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Int. J. Environ. Res. Public Health 2018, 15(2), 194; https://doi.org/10.3390/ijerph15020194

Multiple Attribute Group Decision-Making Methods Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Partitioned Bonferroni Mean Aggregation Operators

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: 25 November 2017 / Revised: 29 December 2017 / Accepted: 9 January 2018 / Published: 24 January 2018
(This article belongs to the Special Issue Decision Models in Green Growth and Sustainable Development)
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Abstract

In this paper, we investigate multiple attribute group decision making (MAGDM) problems where decision makers represent their evaluation of alternatives by trapezoidal fuzzy two-dimensional uncertain linguistic variable. To begin with, we introduce the definition, properties, expectation, operational laws of trapezoidal fuzzy two-dimensional linguistic information. Then, to improve the accuracy of decision making in some case where there are a sort of interrelationship among the attributes, we analyze partition Bonferroni mean (PBM) operator in trapezoidal fuzzy two-dimensional variable environment and develop two operators: trapezoidal fuzzy two-dimensional linguistic partitioned Bonferroni mean (TF2DLPBM) aggregation operator and trapezoidal fuzzy two-dimensional linguistic weighted partitioned Bonferroni mean (TF2DLWPBM) aggregation operator. Furthermore, we develop a novel method to solve MAGDM problems based on TF2DLWPBM aggregation operator. Finally, a practical example is presented to illustrate the effectiveness of this method and analyses the impact of different parameters on the results of decision-making. View Full-Text
Keywords: MAGDM; trapezoidal fuzzy two-dimensional linguistic information; partitioned Bonferroni mean aggregation operator MAGDM; trapezoidal fuzzy two-dimensional linguistic information; partitioned Bonferroni mean aggregation operator
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Yin, K.; Yang, B.; Li, X. Multiple Attribute Group Decision-Making Methods Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Partitioned Bonferroni Mean Aggregation Operators. Int. J. Environ. Res. Public Health 2018, 15, 194.

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