期刊
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
卷 49, 期 11, 页码 2385-2397出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2018.1503356
关键词
cubic fuzzy set (CFs); Einstein t-norm; Arithmetic averaging operator; multi-attribute decision-making (MADM)
In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Einstein ordered weighted averaging (CFEOWA) operator and cubic fuzzy Einstein hybrid weighted averaging (CFEHWA) operator, for aggregating cubic fuzzy data. The CFEHWA operator generalises both the CFEWA and CFEOWA operators. Furthermore, we develop various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply CFEHWA operator to multiple attribute decision-making with cubic fuzzy data. Finally, a numerical example is constructed to demonstrate the established approach.
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