Group Decision Making Based on Triangular Neutrosophic Cubic Fuzzy Einstein Hybrid Weighted Averaging Operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 02 Feb 2019 English Publisher:MDPI AGJournal:Symmetry, volume 11, page 180 (eissn: 2073-8994,

Copyright policy )Funded by:FCT | LA 1, FCT | LA 2

Authors: Aliya Fahmi; Fazli Amin; Madad Khan; Florentin Smarandache;

doi: 10.3390/sym11020180 , 10.5281/zenodo.2838762 , 10.5281/zenodo.2838761

Group Decision Making Based on Triangular Neutrosophic Cubic Fuzzy Einstein Hybrid Weighted Averaging Operators

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Abstract

In this paper, a new concept of the triangular neutrosophic cubic fuzzy numbers (TNCFNs), their score and accuracy functions are introduced. Based on TNCFNs, some new Einstein aggregation operators, such as the triangular neutrosophic cubic fuzzy Einstein weighted averaging (TNCFEWA), triangular neutrosophic cubic fuzzy Einstein ordered weighted averaging (TNCFEOWA) and triangular neutrosophic cubic fuzzy Einstein hybrid weighted averaging (TNCFEHWA) operators are developed. Furthermore, their application to multiple-attribute decision-making with triangular neutrosophic cubic fuzzy (TNCF) information is discussed. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Keywords

arithmetic averaging operator, Multi-attribute decision making, numerical application, Einstein t-norm, Fuzzy operator theory, triangular neutrosophic cubic fuzzy number, Decision theory, Theory of fuzzy sets, etc., multi-attribute decision making

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