A new knowledge measure of information carried by intuitionistic fuzzy sets and application in data classification problem

Abstract

Although there exist several measures for intuitionistic fuzzy sets (IFSs), many unreasonable cases made by the such measures can be observed in literature. The main aim of this paper is to present a new reliable measure of amount of knowledge for IFSs. First we define a new knowledge measure for IFSs and prove some properties of the proposed measure. We present a new entropy measure for IFSs as a dual measure to the proposed knowledge measure. Then we use some examples to illustrate that the proposed measures, though simple in concept and calculus, outperform the existing measures. Finally, we use the proposed knowledge measure for IFSs to deal with the data classification problem.