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Автор: K.P.Girish and Sunil Jacob John
Год: 2012
Издание:
LAP Lambert Academic Publishing
Страниц: 120
ISBN: 9783844313505
Multiset is a collection of objects in which the elements are allowed to repeat. The notion of multiset relations and multiset functions are introduced and the concepts in general topology on classical sets are extended to topology on multisets. Partially ordered multisets and their chains and antichains are introduced and the decomposition theorem for partially ordered multisets is obtained. Moreover multiset topologies are generated using multiset relations and to obtain a quasi-discrete multiset topology from a symmetric multiset relation instead of an equivalence multiset relation. Rough multisets are introduced and the relationship between rough multisets and multiset topologies are investigated.
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