Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
In this paper, the concept of Pythagorean fuzzy set is investigated and compared with other types of uncertainty sets. We define Pythagorean fuzzy sub algebras in BCK-algebras and BCI-algebras and study their properties. A given Pythagorean fuzzy sub algebra is used to create a new Pythagorean fuzzy sub algebra. Also we obtain the intersection of two Pythagorean fuzzy sub algebras to be a Pythagorean fuzzy sub algebra is proved and an example is given to show that the union of two Pythagorean fuzzy sub algebras may not be a Pythagorean fuzzy sub algebra. The characterization of cut set is also used in Pythagorean fuzzy sub algebra. The homomorphic image and pre image of Pythagorean fuzzy sub algebra is discussed. It turns out that Pythagorean fuzzy sub algebra is a subclass of Fermatean fuzzy sub algebra. 2020 AMS classification: 03G25, 06F35, 08A72.