An advanced distance measure for intuitionistic fuzzy sets and its application in decision making

Abstract

The intuitionistic fuzzy set (IFS), which is the generalization of fuzzy set, is a very useful tool to deal with vagueness and ambiguity. In the application of IFSs, distance measure is an imperative device in decision sciences. Though a lot of distance measures have been defined in literature, many of them fail to satisfy some axioms of distance measure or encounter some counterintuitive cases. In this paper, a novel distance measure for IFSs is developed which is based on matrix norm and an increasing function; and accordingly, a comparative study is also carried out to demonstrate the efficiency and validity of the proposed novel distance measure. Furthermore, some numerical examples of pattern recognition and medical decision making are performed under this setting.