On topological properties of generalized rough multisets
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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 compactness and connectedness for M-topological spaces are extended to generalized mset approximation spaces. Also, some properties of M-topological spaces induced by reflexive mset relation and some properties of M-topological spaces induced by tolerance mset relation are investigated.
Abstract
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 compactness and connectedness for M-topological spaces are extended to generalized mset approximation spaces. Also, some properties of M-topological spaces induced by reflexive mset relation and some properties of M-topological spaces induced by tolerance mset relation are investigated.
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