论文标题
在带有L模糊分区的空间类别上
On categories of spaces with L-fuzzy partitions, L-fuzzy closure system spaces and coalgebras (dialgebras)
论文作者
论文摘要
在这一贡献中，我们旨在在分类框架中介绍和研究L模糊的分区空间和L模糊的闭合系统空间。此外，我们介绍了在某些条件下对应于直接F上F变换的山地和拨号桥的概念，并显示了带有L模糊分区的空间类别与colgebras类别（Dialgebras）之间的功能关系。此外，我们表明，山地和拨号桥的类别是同构，并在山地和拨号桥之间引入了一对伴随函子。
In this contribution, we aim to introduce and study L-fuzzy partition spaces and L-fuzzy closure system spaces in a categorical framework. Further, we present the concepts of coalgebras and dialgebras corresponding to a direct upper F -transform under certain conditions and show the functorial relationship between the category of spaces with L-fuzzy partition and the category of coalgebras (dialgebras). Moreover, we show that the categories of coalgebras and dialgebras are isomorphic and introduce a pair of adjoint functors between the coalgebras and dialgebras.
