Abstract | ||
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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. |
Year | DOI | Venue |
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2018 | 10.1080/00207721.2018.1503356 | INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE |
Keywords | Field | DocType |
cubic fuzzy set (CFs), Einstein t-norm, Arithmetic averaging operator, multi-attribute decision-making (MADM) | Mathematical optimization,Einstein,Algebra,Fuzzy logic,Fuzzy set,Operator (computer programming),Fuzzy data,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 11 | 0020-7721 |
Citations | PageRank | References |
8 | 0.45 | 9 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Aliya Fahmi | 1 | 22 | 4.30 |
Fazli Amin | 2 | 92 | 7.45 |
Saleem Abdullah | 3 | 236 | 35.45 |
Asad Ali | 4 | 94 | 6.49 |