Cubic fuzzy Einstein aggregation operators and its application to decision-making. Issue 11 (18th August 2018)

• Record Type: Journal Article
• Authors: Fahmi, Aliya; Amin, Fazli; Abdullah, Saleem; Ali, Asad
• Is Part Of: International journal of systems science. Volume 49:Issue 11(2018)
• Page Start: 2385
• Page End: 2397
• Publication Date: 2018-08-18
• Subjects: cubic fuzzy set (CFs) -- Einstein t-norm -- Arithmetic averaging operator -- multi-attribute decision-making (MADM); System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2018.1503356
• Languages: English
• ISSNs: 0020-7721

Abstract

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.