Novel distance measure between intuitionistic fuzzy sets and its application in pattern recognition

In this article, we propose a new distance measure between intuitionistic fuzzy sets(IFSs), which takes into account the membership degree, non-membership degree, and their difference between membership and non-membership degree of intuitionistic fuzzy sets, as well as the exponential distance measure to avoid information loss. Meanwhile we prove that it satisfies the axiomatic definition of distance measure, and do comparison analysis with some widely used distance measures. Finally, we apply our distance measure in pattern recognition, these results show that our distance measure can significantly overcome the drawback of information loss and have more widely application scope.