Geometrical Interpretation of Impact of One Set on Another Set

摘要

In the paper, we describe new tacit problems during the process of comparison of objects. The direction of objects' comparison seems to have essential role because such comparison may not be symmetric. Thus, we can say that two objects may be viewed as an attempt to determine the degree to which they are similar or different. In this paper, we consider objects described by a set of nominal attributes which values are not precisely known or can be repeated in the object description. Two kinds of objects' descriptions are considered, the first the fuzzy and the second the multiset description. Asymmetric phenomena of comparing such descriptions of objects is emphasized and discussed.