Title
Cubic Fuzzy Einstein Aggregation Operators And Its Application To Decision-Making
Abstract
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
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 Fahmi1224.30
Fazli Amin2927.45
Saleem Abdullah323635.45
Asad Ali4946.49