On similarity measures between intuitionistic fuzzy sets

Abstract

In this paper, we first review several popular similarity measures between fuzzy sets and then extend those similarity measures to intuitionistic fuzzy sets. We also propose two new similarity measures between intuitionistic fuzzy sets. These similarity measures have been found to satisfy some similarity measure axioms. Several numerical experiments are performed to assess the performance of these measures. Numerical results clearly indicate these new measures to be superior in performance to the others. Finally, we apply the new measures to evaluate students' answerscripts. The experimental results show the superiority of the proposed measures for students' evaluation. © 2008 Wiley Periodicals, Inc.