In this paper, we introduce the concept of α-levels of multi-set and study many of its properties, weak α-level and strong α -level of multi-set. Also we study the cartesian product of two multi-sets and some of its properties, Also we study the multi-set function and some of its properties and define the image and the inverse image of multi- sets and study of some properties.
Keywords and Phrases
Multi-set, Multi-set relation, Multi-set function.
A.M.S. subject classiﬁcation
54A05, 03E02, 00A05, O6A99.