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International Journal for Uncertainty Quantification

Impact factor: 1.000

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

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020768
Forthcoming Article

Trapezoidal interval type-2 fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

Honghai Wang
Beijing Institute of Technology
Peide Liu
Shandong University of Finance and Economics
Zhengmin Liu
Shandong University of Finance and Economics

ABSTRACT

More and more scholars engaged in research on trapezoidal interval type-2 fuzzy sets, which are more capable to handle uncertain and imprecision information than type-1 fuzzy sets. 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 trapezoidal interval type-2 fuzzy environment and propose some aggregation operators, such as trapezoidal interval type-2 fuzzy Maclaurin symmetric mean operator (IT2FMSM) and 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 in detail. Thirdly, we develop a novel approach based on WIT2FMSM operator to demonstrate the application of MAGDM under trapezoidal interval type-2 fuzzy environment. Finally, we provide a practical example about the evaluation of medical services quality of hospitals to demonstrate the effectiveness and practicality of the presented method and give a comparative analysis between the presented method and existing methods.