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International Journal for Uncertainty Quantification
CiteScore™: 1.52 IF: 0.967 5-Year IF: 1.301 SNIP: 0.8 SJR: 0.531

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020768
pages 343-360

TRAPEZOIDAL INTERVAL TYPE-2 FUZZY MACLAURIN SYMMETRIC MEAN OPERATORS AND THEIR APPLICATIONS TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING

Honghai Wang
School of Management and Economics, Beijing Institute of Technology, Beijing, 100081, China; School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, China
Peide Liu
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China; School of Economics and Management, Civil Aviation University of China, Tianjin 300300, China
Zhengmin Liu
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China

ABSTRACT

More and more scholars are engaged in research on trapezoidal interval type-2 fuzzy sets, which are more capable of handling uncertain and imprecise information than type-1 fuzzy sets. The Maclaurin symmetric mean (MSM) operator can effectively capture and handle the interrelationships among multiple arguments. In this paper, we investigate multiple attribute group decision making (MAGDM) problems in which the decision attributes are interdependent and the attribute values take the forms of trapezoidal interval type-2 fuzzy numbers. Firstly, we extend the MSM operator to a trapezoidal interval type-2 fuzzy environment and propose some aggregation operators, such as the trapezoidal interval type-2 fuzzy Maclaurin symmetric mean operator (IT2FMSM) and the weighted trapezoidal interval type-2 fuzzy Maclaurin symmetric mean (WIT2FMSM) operator. Then, we investigate some desirable properties and discuss some special cases when the parameters in these operators take different values. Moreover, we develop a novel MAGDM approach based on the WIT2FMSM operator under a trapezoidal interval type-2 fuzzy environment. Finally, we provide a practical example about the evaluation of the medical services quality of hospitals to demonstrate the effectiveness and practicality of the presented method and give a comparative analysis of the presented method with existing methods.