Research Information System
2nd International Conference on Information Technologies and Their Applications, ITTA 2024, Baku, Azerbaijan, 23 - 25 April 2024, vol.2225 CCIS, pp.66-77, (Full Text)
Defuzzification methods have an important place in fuzzy logic and fuzzy set theory. There are various defuzzification methods in the literature, such as Center of Gravity (COG), Mean of the Maxima (MOM), Bisector of Area (BOA), Weighted Average Based on Levels (WABL), etc. Normally, the defuzzified value of a fuzzy number gives the average numerical representative of this fuzzy number according to the membership degrees of components. However, the WABL operator, which is a more universal defuzzification operator, carries more information within itself. In this study, the defuzzified value of the fuzzy number is discussed within the framework of a two-dimensional plane. This approach includes information about the defuzzified numerical representative as well as the quality of this representative. New concepts of WABL Area Representative (WABL_AR) and Area Center of Gravity (ACOG) are proposed for fuzzy numbers. The properties of these concepts have been examined theoretically and suitable theorems for triangular fuzzy numbers have been proven. A numerical example is given for calculating the WABL_AR and ACOG values.