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Open AccessArticle

A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions

Department of Mathematics, Nanchang University, Nanchang 330031, China
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Symmetry 2019, 11(3), 418; https://doi.org/10.3390/sym11030418
Received: 1 March 2019 / Revised: 14 March 2019 / Accepted: 19 March 2019 / Published: 21 March 2019
(This article belongs to the Special Issue Multi-Criteria Decision Aid methods in fuzzy decision problems)
The 2-tuple linguistic information model (2TLIM) is a useful tool to avoid the loss of information, which has been widely adapted in the study of the multiple attribute decision making (MADM) problem. However, there is a limitation, the limitation is that the difference between the neighboring 2-tuple linguistic information is fixed regardless of the decision-makers’ attitude. In this paper, we define the utility transformation functions based on the 2-tuple linguistic utility to overcome the drawback. Firstly, by introducing the economic utility theory, the 2-tuple linguistic utility is defined, the 2-tuple linguistic utility parameter (2TLUP) and the 2-tuple linguistic marginal utility (2TLMU) are constructed to achieve the measurement of the decision-makers’ attitude. The utility transformation functions are developed on the decision-makers’ attitude. Secondly, the 2-tuple linguistic operational laws are presented with the extended Hamacher T-norm (TN) and T-conorm (TC). Subsequently, we propose the 2-tuple linguistic utility weighted average (2TLUWA) operator and the method of MADM. Lastly, the application and the comparison with the existing methods are summarized to verify the practicality and advantages of the proposed method of MADM. View Full-Text
Keywords: the 2-tuple linguistic utility; the 2-tuple linguistic utility parameter (2TLUP); 2-tuple linguistic marginal utility (2TLMU); 2-tuple utility transformation functions; the multiple attribute decision making method the 2-tuple linguistic utility; the 2-tuple linguistic utility parameter (2TLUP); 2-tuple linguistic marginal utility (2TLMU); 2-tuple utility transformation functions; the multiple attribute decision making method
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Zuo, Y.; Chen, C. A New Fuzzy Multiple Attribute Decision Making Method Based on the Utility Transformation Functions. Symmetry 2019, 11, 418.

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