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.

中文翻译：

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球面三次模糊信息的一些新型几何聚合算子及其应用

技术正在迅速发展并成为我们生活的一部分。由于技术，生活变得更加美好和轻松。虽然它有很多好处，但它也带来了严重的风险和威胁，称为网络攻击，这些被网络安全所抵消。由于球形模糊集 (SFS) 和区间值 SFS (IVSFS) 是处理不确定性和模糊性的绝佳工具，因此当前的研究讨论了球形三次 FS (SCFS) 的思想。这些集合的特征是三个映射，称为隶属度、中性度和非隶属度。这些度数中的每一个都是球面三次模糊数 (SCFN)，因此它们的平方和不超过 1。为 SCFN 的比较提供了评分函数和准确度函数。而且，建立球面三次模糊加权几何（SCFWG）算子和SCF有序加权几何（SCFOWG）算子来确定两个SCFN之间的距离。此外，分析了所提议算子的一些操作规则，并提出了基于这些算子的多属性决策（MADM）方法。这些方法用于根据风险因素作为数值说明做出最佳决策。此外，还对所提出的方法与现有方法进行了比较；由于所提出的方法和算子是现有方法的推广，因此它们提供了更通用、更准确和更准确的结果。最后，对于决策过程的合法性、实用性和实用性，给出了详细的说明。