4.6 Article

Multiple attribute decision-making based on maclaurin symmetric mean operators on q-rung orthopair cubic fuzzy sets

Journal

SOFT COMPUTING
Volume 26, Issue 19, Pages 9953-9977

Publisher

SPRINGER
DOI: 10.1007/s00500-022-07363-7

Keywords

Q-rung orthopair cubic fuzzy sets; Multiple attribute decision making; Maclaurin symmetric mean operator; Q-rung orthopair cubic fuzzy weighted dual MSM (q-ROCFWDMSM) operator; Q-rung orthopair cubic fuzzy weighted MSM (q-ROCFWMSM) operator

Funding

  1. Science and Technology Research Program of Chongqing Municipal Education Commission [KJQN201901505]
  2. Key Project of humanities and social sciences research of Chongqing Municipal Education Commission [22SKGH428, 22SKGH432]

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This paper investigates the multiple attribute decision-making problems with attribute values represented by q-rung orthopair cubic fuzzy sets. The authors propose the definition and operational laws of qROCFSs, as well as develop a family of q-rung orthopair cubic fuzzy maclaurin symmetric mean aggregation operators. They also propose an approach based on these operators for solving multiple attribute decision-making problems under q-rung orthopair cubic fuzzy environment.
In this paper, the multiple attribute decision-making problems in which the attribute values take the form of q-rung orthopair cubic fuzzy sets (qRCOFSs) are investigated. Firstly, the definition of qROCFSs and some operational laws of qROCFSs are proposed. Then, a family of q-rung orthopair cubic fuzzy maclaurin symmetric mean aggregation operators are developed, such as the q-rung orthopair cubic fuzzy maclaurin symmetric mean (q-ROCFMSM) operator, the q-rung orthopair cubic fuzzy weighted maclaurin symmetric mean (q-ROCFWMSM) operator, the q-rung orthopair cubic fuzzy dual maclaurin symmetric mean (q-ROCFDMSM) operator, the q-rung orthopair cubic fuzzy weighted dual maclaurin symmetric mean (q-ROCFWDMSM) operator. And the properties and special cases of these proposed operators are studied. Furthermore, an approach based on the q-ROCFWMSM operator and the q-ROCFWDMSM operator is proposed for multiple attribute decision-making problems under q-rung orthopair cubic fuzzy environment. Finally, a numerical example and comparative analysis is given to illustrate the application of the proposed approach.

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