Journal
INFORMATION SCIENCES
Volume 188, Issue -, Pages 298-313Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.11.023
Keywords
Muitisets; Binary multiset relation; Multiset topologies; Closure multiset space; Interior multiset space; Rough multisets
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Multiset topology is a collection of multisets which satisfies the axioms of topology. In this paper, multiset topologies are obtained using binary multiset relations. The relationship between multiset topologies is investigated and some of the properties of these multiset topologies are proved. The quasi-discrete multiset topology is obtained from a symmetric multiset relation instead of an equivalence multiset relation and several examples are given to indicate counter connections. Finally, the rough multiset is introduced and the multiset topology induced by a multiset relation is used to generalize the rough multiset concept. (C) 2011 Elsevier Inc. All rights reserved.
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