This article is an advanced approach to intuitionistic fuzzy set through application of cubic set theory. For instance, we establish the idea of the intuitionistic cubic fuzzy set (ICFS) theory and define several operations for ICFS ; also establish a series of weighted aggregation operators under intuitionistic cubic fuzzy information, so-called intuitionistic cubic fuzzy weighted averaging (ICFWA) operator, intuitionistic cubic fuzzy order weighted averaging (ICFOWA) operator, intuitionistic cubic fuzzy weighted geometric (ICFWG) operator, intuitionistic cubic fuzzy order weighted geometric (ICFOWG) operator, intuitionistic cubic fuzzy hybrid averaging (ICFHA) operator, and intuitionistic cubic fuzzy hybrid geometric (ICFHG) operator; and further study their fundamental properties and showed the relationship among these aggregation operators. In order to demonstrate the feasibility and practicality of the mentioned new technique, we develop multicriteria group decision-making algorithm under intuitionistic cubic fuzzy environment. Further, the proposed method applied to supply chain management and for implementation, consider numerical application of supply chain management. Also the selected supplier by ICFD aggregation operators is verified by VIKOR method. Comparing the proposed techniques with other pre-existing aggregation operators, we concluded that the proposed technique is better, reliable, and effective.

中文翻译：

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基于直觉三次模糊集合算子的供应商选择多准则群决策

本文是通过三次集理论应用直觉模糊集的一种先进方法。例如，我们建立了直觉三次模糊集（ICFS）理论的思想，并为ICFS定义了几种运算；还根据直觉三次模糊信息建立了一系列加权集合算子，即直觉三次模糊加权平均算子，直觉三次模糊阶加权平均算子，直觉三次模糊加权几何算子，直觉三次算子模糊阶加权几何（ICFOWG）运算符，直觉三次模糊混合平均（ICFHA）运算符和直觉三次模糊混合几何（ICFHG）运算符；并进一步研究它们的基本性质，并说明这些聚集算子之间的关系。为了证明上述新技术的可行性和实用性，我们开发了直觉三次模糊环境下的多准则群决策算法。此外，所提出的方法适用于供应链管理并为实现而考虑了供应链管理的数值应用。ICFD集合运营商选择的供应商也将通过VIKOR方法进行验证。将提出的技术与其他现有的聚合算子进行比较，我们得出的结论是，提出的技术是更好，可靠和有效的。考虑供应链管理的数值应用。ICFD集合运营商选择的供应商也将通过VIKOR方法进行验证。将提出的技术与其他现有的聚合算子进行比较，我们得出的结论是，提出的技术是更好，可靠和有效的。考虑供应链管理的数值应用。ICFD集合运营商选择的供应商也将通过VIKOR方法进行验证。将提出的技术与其他现有的聚合算子进行比较，我们得出的结论是，提出的技术是更好，可靠和有效的。