New view of multisets relations

Abstract

Multiset is a collection of objects in which repetition of elements is significant. In many real life problems, medical investigation and teaching for example, the repetition of cases affects the process of decisions making, and so the multiset is a suitable theory for modeling such cases. In this paper we initiate a matrix representation for relations on multisets and given examples. Also a generalization for composition of relation is defined and its properties are studied, many examples are given. After and for sets for multisets are studied. These suggested relation can help in constructing new connections for multisets with information systems whose objects are multisets.