A WABL-Based Two-Dimensional Representative of Fuzzy Numbers


Nasiboğlu R., Nasiboğlu E.

2nd International Conference on Information Technologies and Their Applications (ITTA 2024), Baku, Azerbaijan, 23 - 25 April 2024, pp.1-10

  • Publication Type: Conference Paper / Full Text
  • City: Baku
  • Country: Azerbaijan
  • Page Numbers: pp.1-10
  • Dokuz Eylül University Affiliated: Yes

Abstract

Defuzzification methods have an important place in fuzzy logic and fuzzy set theory. Normally, the defuzzified value of a fuzzy number gives the average numerical equivalent of this number. 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 and 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 ACOG.