RETRACTED: Some Novel Geometric Aggregation Operators of Spherical Cubic Fuzzy Information with Application (Retracted Article)

被引:0
|
作者
Ullah, Zafar [1 ]
Bashir, Huma [2 ]
Anjum, Rukhshanda [3 ]
Al-Rakhami, Mabrook [4 ]
Al-Hadhrami, Suheer [5 ]
Ghaffar, Abdul [6 ]
机构
[1] Univ Educ, Dept Math, Div Sci & Technol, Lahore, Pakistan
[2] Bahauddin Zakariya Univ, Dept Basic Sci, UCET, Multan, Pakistan
[3] Univ Lahore, Dept Math & Stat, Lahore, Pakistan
[4] King Saud Univ, Coll Comp & Informat Sci, Dept Informat Syst, STCs Artificial Intelligence Chair, Riyadh 11543, Saudi Arabia
[5] Hadhramout Univ, Engn Coll, Comp Engn Dept, Hadhramout, Yemen
[6] Ghazi Univ, Dept Math, Dg Khan 32200, Pakistan
关键词
SETS;
D O I
10.1155/2021/3774353
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Technology is quickly evolving and becoming part of our lives. Life has become better and easier due to the technologies. Although it has lots of benefits, it also brings serious risks and threats, known as cyberattacks, which are neutralized by cybersecurities. Since spherical fuzzy sets (SFSs) and interval-valued SFS (IVSFS) are an excellent tool in coping with uncertainty and fuzziness, the current study discusses the idea of spherical cubic FSs (SCFSs). These sets are characterized by three mappings known as membership degree, neutral degree, and nonmembership degree. Each of these degrees is spherical cubic fuzzy numbers (SCFNs) such that the summation of their squares does not exceed one. The score function and accuracy function are presented for the comparison of SCFNs. Moreover, the spherical cubic fuzzy weighted geometric (SCFWG) operators and SCF ordered weighted geometric (SCFOWG) operators are established for determining the distance between two SCFNs. Furthermore, some operational rules of the proposed operators are analyzed and multiattribute decision-making (MADM) approach based on these operators is presented. These methods are applied to make the best decision on the basis of risks factors as a numerical illustration. Additionally, the comparison of the proposed method with the existing methods is carried out; since the proposed methods and operators are the generalizations of existing methods, they provide more general, exact, and accurate results. Finally, for the legitimacy, practicality, and usefulness of the decision-making processes, a detailed illustration is given.
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页数:14
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