With the generalization of the concept of set, more comprehensive structures could be constructed in topological spaces. In this way, it is easier to express many relationships on existing mathematical models in a more comprehensive way. In this paper, the topological structure of virtual fuzzy parametrized fuzzy soft sets is analyzed by considering the virtual fuzzy parametrized fuzzy soft set theory, which is a hybrid set model that offers very practical approaches in expressing the membership degrees of decision makers, which has been introduced to the literature in recent years. Thus, it is aimed to contribute to the development of virtual fuzzy parametrized fuzzy soft set theory. To construct a topological structure on virtual fuzzy parametrized fuzzy soft sets, the concepts of point, quasi-coincident and mapping are first defined for this set theory and some of its characteristic properties are investigated. Then, virtual fuzzy parametrized fuzzy soft topological spaces are defined and concepts such as open, closed, closure, Q-neighborhood, interior, base, continuous, cover and compact are given. In addition, some related properties of these concepts are analyzed. Finally, many examples are given to make the paper easier to understand.

随着集合概念的泛化，可以在拓扑空间中构建更全面的结构。这样，更容易以更全面的方式表达现有数学模型上的许多关系。本文通过考虑虚拟模糊参数化模糊软集理论来分析虚拟模糊参数化模糊软集的拓扑结构，该理论是一种混合集模型，为表达决策者的隶属度提供了非常实用的方法。近年来介绍到文献中。因此，其目的在于为虚拟模糊参数化模糊软集理论的发展做出贡献。要在虚拟模糊参数化的模糊软集上构建拓扑结构，需要考虑点的概念，首先为该集合理论定义了准重合和映射，并研究了其一些特性。然后，定义了虚拟模糊参数化的模糊软拓扑空间，并给出了开放，封闭，封闭，Q邻域，内部，基础，连续，覆盖和紧凑等概念。此外，还分析了这些概念的一些相关属性。最后，给出了许多示例以使本文更易于理解。