Precursor Selection for Sol-Gel Synthesis of Titanium Carbide Nanopowders by a New Cubic Fuzzy Multi-Attribute Group Decision-Making Model

被引:48
作者
Fahmi, Aliya [1 ]
Abdullah, Saleem [2 ]
Amin, Fazli [1 ]
Ali, Asad [1 ]
机构
[1] Hazara Univ Mansehra, Dept Math, Mansehra, Kpk, Pakistan
[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Kpk, Pakistan
关键词
Cubic fuzzy sets; cubic TOPSIS method; numerical applications; cubic gray analysis set; proposed CF-MAGDM; POWDERS;
D O I
10.1515/jisys-2017-0083
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we construct an extended version of the TOPSIS method by using cubic information, and provide a numerical application to verify and demonstrate the practicality of the method. A new extension of the gray relation analysis (GRA) method is introduced by using cubic information. We also propose the cubic fuzzy multi-attribute group decision-making model, and the relation between the cubic TOPSIS method and the cubic gray relation analysis (CGRA) method is introduced. Finally, the proposed method is used for selection in sol-gel synthesis of titanium carbide nanopowders. We analyzed the proposed method by using a numerical application to sol-gel synthesis of titanium carbide nanopowders.
引用
收藏
页码:699 / 720
页数:22
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