Publication Type:

Journal Article


Information Sciences, Volume 188, p.298-313 (2012)



Artificial intelligence, Multi-sets, Multiset, Software engineering, Topology


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. © 2011 Elsevier Inc. All rights reserved.


cited By (since 1996)0

Cite this Research Publication

K. Pa Girish and John, S. Jb, “Multiset topologies induced by multiset relations”, Information Sciences, vol. 188, pp. 298-313, 2012.