Parameter reduction is an important operation for improving the performance of decision‐making processes in various uncertainty theories. The theory of N‐soft sets is emerging as a powerful mathematical tool for dealing with uncertainties beyond the standard formulation of the soft set theory. In this research article, we extend the notion of parameter reduction to N‐soft set theory, and we also justify its practical calculation. To this purpose, we define related theoretical concepts (e.g. N‐soft subset, reduct N‐soft set and redundant parameter) and examine some of their fundamental properties. Then, we argue that the idea of attributes reduction from the rough set theory cannot be employed in the N‐soft set theory in order to reduce the number of parameters. Consequently, we take an original position in order to adequately define and compute parameter reductions in N‐soft sets. Finally, we develop an application of parameter reduction of N‐soft sets.

中文翻译：

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N软集的参数约简及其在决策中的应用

参数减少是提高各种不确定性理论中决策过程性能的重要操作。N软集理论正在成为一种强大的数学工具，用于处理软集理论的标准制定之外的不确定性。在本文中，我们将参数约简的概念扩展到N软件集理论，并证明其实际计算的合理性。为此，我们定义了相关的理论概念（例如，N软子集，归约N软集和冗余参数）并检查了它们的一些基本属性。然后，我们认为粗糙集理论中的属性约简的思想不能用在N中-软集理论以减少参数数量。因此，我们采用原始位置以充分定义和计算N个软集合中的参数约简。最后，我们开发了N个软集合的参数约简的应用程序。