On the WABL defuzzification method for intuitionistic fuzzy numbers

International Conference on Intelligent and Fuzzy Systems, INFUS 2019 -- 23 July 2019 through 25 July 2019 -- 228529Intuitionistic fuzzy sets (IFSs) have been proposed by Atanassov as an extension of classical fuzzy sets (FSs) originated from an early work of Zadeh. The main advantage of the IFSs is their property to deal with the uncertainty that may be included by information. IFSs have two types of functions: membership function which is also employed to describe the conventional FSs and non-membership function. With these two functions, IFSs better describe the real status of the information. IFSs especially Intuitionistic Fuzzy Numbers (IFNs) have found application in various areas such as edge detection, image segmentation, decision making, fault-tree analysis, pattern recognition etc. Most of the applications of these areas are performed in digitalized environments. But, still our computers are designed to work with crisp numbers. That means we are still in need of well-defined defuzzification methods for IFNs. In this study, we adopted WABL (Weighted Averaging Based on Levels) defuzzification method into IFNs. We exposed some useful properties of WABL method in order to make its usage easier in application fields. © 2020, Springer Nature Switzerland AG