Similarity measures of fuzzy rough sets based on the LP metric

A similarity measure is a useful tool for determining the similarity of two objects. In this paper, based on the L_P, metric, we discuss similarity measures of fuzzy rough sets determined by a triangular norm. We first review basic concepts related to intuitionistic fuzzy sets and fuzzy rough sets. By regarding a fuzzy rough set as an intuitionistic fuzzy set and by employing the L_P, metric, we then propose several reasonable measures to calculate the degree of similarity between fuzzy rough sets and between elements in a class of fuzzy rough sets.