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.