Some properties of soft multiset

Abstract

The concepts of relative null, relative semi-null, relative absolute, relative semi-absolute and absolute soft multisets were presented. It is shown that the relative absolute soft multiset is equivalent to the complement of relative null soft multiset, the complement of relative absolute soft multiset is equivalent to the relative null soft multiset. It is further established that a relative semi-absolute soft multiset is equivalent to the complement of a relative semi-null soft multiset and the complement of a relative semi-absolute soft multiset is equivalent to a relative semi-null soft multiset. Related results are also established.

Keywords: Multiset, Soft Set, Soft Multiset, absolute soft multiset, relative absolute soft multiset