Topological structure of generalized rough multisets

摘要: Rough set theory is a powerful mathematical tool for dealing with inexact, uncertain or vague information. The core concept of rough set theory are information systems and approximation operators of approximation spaces. In this paper, we study the relationships between mset relations and mset topology. Moreover, this paper concerns generalized mset approximation spaces via topological methods and studies topological properties of rough msets. Classical separation axioms for M-topological spaces are extended to generalized mset approximation spaces. Relationships among separation axioms for generalized mset approximation spaces and relationships between M-topological spaces and their induced generalized mset approximation spaces are investigated.