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, Azerbaycan, 23 - 25 Nisan 2024, ss.109

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Baku
  • Basıldığı Ülke: Azerbaycan
  • Sayfa Sayıları: ss.109
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.