The basic concept of a set theory is fundamental for the whole mathematics. As an extension of classical set theory, rough set theory is a relatively mathematical tool used in various sectors that they are characterized by vagueness and uncertainty. In recent years, many similarity measures have been proposed between fuzzy sets and fuzzy rough sets. In this paper, we discuss two similarity measure (having properties) for mapping the degree of similarity between fuzzy rough sets. These measures can represent a better way for measuring the degree of similarity between fuzzy rough sets. Finally given the illustration for the problem of choosing the mutual funds by similarity measures in fuzzy rough sets.