This paper deals with uncertainty, asymmetric information, and risk modelling in a complex power system. The uncertainty is managed by using probability and decision theory methods. Multiple-criteria decision making (MCDM) is a very effective and well-known tool to investigate fuzzy information more effectively. However, the selection of houses cannot be done by utilizing symmetry information, because enterprises do not have complete information, so asymmetric information should be used when selecting enterprises. In this paper, the notion of soft set (S_ftS) and interval-valued T-spherical fuzzy set (IVT-SFS) are combined to produce a new and more effective notion called interval-valued T-spherical fuzzy soft set (IVT-SFS_ftS). It is a more general concept and provides more space and options to decision makers (DMs) for making their decision in the field of fuzzy set theory. Moreover, some average aggregation operators like interval-valued T-spherical fuzzy soft weighted average (IVT-SFS_ftWA) operator, interval-valued T-spherical fuzzy soft ordered weighted average (IVT-SFS_ftOWA) operator, and interval-valued T-spherical fuzzy soft hybrid average (IVT-SFS_ftHA) operators are explored. Furthermore, the properties of these operators are discussed in detail. An algorithm is developed and an application example is proposed to show the validity of the present work. This manuscript shows how to make a decision when there is asymmetric information about an enterprise. Further, in comparative analysis, the established work is compared with another existing method to show the advantages of the present work.

中文翻译：

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区间值T球模糊软平均聚合算子及其在多准则决策中的应用

本文讨论复杂电力系统中的不确定性，不对称信息和风险模型。不确定性通过使用概率和决策理论方法进行管理。多准则决策（MCDM）是一种非常有效且广为人知的工具，可以更有效地研究模糊信息。但是，由于企业没有完整的信息，所以不能通过利用对称信息来选择房屋，因此在选择企业时应使用非对称信息。本文将软集（S _ft S）和区间值T球面模糊集（IVT-SFS）的概念结合起来，产生了一种新的，更有效的概念，称为区间值T球面模糊软集（IVT）。 --SFS _ft S）。它是一个更笼统的概念，为决策者（DM）在模糊集理论领域做出决策提供了更多的空间和选择。此外，一些平均聚合运营商等间隔值T-球形模糊软加权平均（IVT - SFS_英尺WA）运算，区间值T-球形模糊软有序加权平均（IVT - SFS_英尺OWA）算子，和区间值T球面模糊软混合平均（IVT - SFS _ft HA）运算符。此外，将详细讨论这些运算符的属性。提出了一种算法，并给出了一个应用实例，说明了本文工作的有效性。该手稿显示了有关企业的信息不对称时如何做出决定。此外，在比较分析中，将已建立的工作与另一种现有方法进行比较，以显示当前工作的优点。