Some similarity and distance measures on fuzzy rough sets & it's applications

To establish similarity and dissimilarity between two groups or between two elements the similarity and distance measure has becomes an imperious tools. Many researchers proposed various similarity and distance measures by using different approaches. In which some are probabilistic in nature and other are non-probabilistic in nature. Here we discuss some non probabilistic similarity and distance measures by using fuzzy rough set approach. We also prove the validity of this proposed measure and discuss it application for decision making problem. We also compare proposed measures. The proposed measures can provide a useful tactic to measure the similarity and dissimilarity between fuzzy rough sets and between their elements.