Fuzzy complete lattices, Alexandrov L -topologies and fuzzy rough sets
Jung Mi Ko, Yong Chan Kim · Journal of Intelligent & Fuzzy Systems · 2020
We introduce the concepts of fuzzy join complete lattices and Alexandrov L -pretopologies in complete residuated lattices. We show that fuzzy join complete lattices, Alexandrov L -pretopologies, fuzzy meet complete lattices and Alexandrov L -precotopologies are equivalent. Moreover, we define L -preinterior operators (resp. L -preclosure operators) as a viewpoint of fuzzy joins (resp. fuzzy meet) and fuzzy rough sets. Furthermore their properties and examples are investigated.