A Study of Relations and Functions in Soft Multiset Context

摘要

The classical soft set is a mapping from a set of parameter to the crisp subset of an initial universe set. Molodtsov initiated soft set theory as a generalized tool for modeling complex system involving uncertain or not clearly defined objects. There after the theory of soft multiset was developed. In this paper the concept of soft multiset relations are introduced as a soft submultiset of the Cartesian product of the soft multisets and several related concepts such as equivalent soft multiset relation, partition, composition, function and many others are discussed.