Some Indexes for Comparing and Selecting Partitions

Abstract

Based on the equivalence relation, we can partition a set U, formally, different equivalence relations correspond to different partitions of U. In this paper, based on Yager's works (Some Measure Relating Partitions Useful For Computational Intelligence, International Journal of Computational Intelligence Systems. 1, 1-18 (2008)), we discuss how to compare the different partitions, moreover, we obtain some indexes to select a better partition from given partitions. By an illustrative example, we show that our proposed indexes can be used for selecting partitions, feature selection, and help us to gather more information to decision making.