New Class of Equivalence Classes of Neutrosophic Fuzzy Delta- Algebras
Azeez Lafta Jaber1, Hussein S ALallak2, Jaafer Hmood Eidi3, Shuker Khalil4,*
1Department of Mathematics, College of Education, University of Sumer, Iraq
2General Directorate of Curricula. moe. Iraq
3Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
4Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq
Emails: azeezlafta@gmail.com; hus201ein@gmail.com ; drjaffarmath@uomustansiriyah.edu.iq; shuker.khalil@uobasrah.edu.iq
Abstract
This work analyzes neutrosophic fuzzification in algebra, applies novel classes of neutrosophic fuzzy (
) to algebra, and explores the ideas of
ideal (
),
subalgebra (
), δ-homomorphism, and
ideal (
), exploring some of their descriptions. We shall demonstrate a variety of applications, including the notations
and
on
/
is
of
}. We will also investigate their equivalence classes, evaluate our findings in light of the unique ideas offered in this work, and investigate related characteristics.
Keywords: Neutrosophic Fuzzy set; algebra; Neutrosphic fuzzy
subalgebra; Equivalence Classes.