Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition

In this paper, we take into account the hesitance degree of hesitant fuzzy sets, introduce the concept of hesitance degree of hesitant fuzzy element which describes the decision maker's hesitance in decision making process, and propose several novel distance and similarity measures between hesitant fuzzy sets. A comparison with the existing distance and similarity measures between hesitant fuzzy sets and a numerical example show that our proposed method is reasonable and valid. (C) 2016 Elsevier B.V. All rights reserved.