Rough sets for selection of molecular descriptors to predict biological activity of molecules
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Topological properties of generalized approximation spaces
Information Sciences: an International Journal
On fuzzy topological structures of rough fuzzy sets
Transactions on Rough Sets XVI
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For further studying the theories and applications of rough sets (RS), this paper proposes a new theory on RS, which mainly includes topological space, topological properties, homeomorphism, and its properties on RS by some new definitions and theorems given. The relationship between partition and countable open covering is discussed, and some applications based on the topological rough space and its topological properties are introduced. Moreover, some perspectives for future research are given. Throughout this paper, the advancements of the new theory on RS and topological algebra not only represent an important theoretical value but also exhibit significant applications of RS and topology.