Rough Multiset and Its Multiset Topology

This article introduces the notion of multiset topology (M-topology) and points out the concept of open multisets (mset, for short). Multiset topologies are obtained by using multiset relation. Rough multiset is introduced in terms of lower and upper approximations. We use a multiset topological concept to investigate Pawlaks rough set theory by replaing its universe by multiset. The multiset topology induced by a multiset relation is used to generalize the rough multiset concept. Properties of rough multisets are obtained. Comparison between our approach and previous approaches are given and a generalized approximation mset space is a multiset topological space for any reflexive mset relation.

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