Innovative Perspective on Neutrosophic Cubic Z-Algebras
G. Nisha Devi1, P. Hemavathi2, R. Vinodkumar3, P. Muralikrishna4, Aiyared Iampan*5
1,2 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai-602105, India
3 Department of Mathematics, Prathyusha Engineering College (Autonomous), Thiruvallur-602025, India
4 Department of Mathematics, Muthurangam Government Arts College, Vellore-632002, India
5 Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
Emails: nishadevig9005.sse@saveetha.com; hemavathip.sse@saveetha.com; vinodmaths85@gmail.com; pmkrishna@rocketmail.com; aiyared.ia@up.ac.th
Abstract
This study explores an innovative perspective on neutrosophic cubic Z-algebras, delving into the theoretical framework within mathematical structures. Through a comprehensive analysis, we uncover unique insights that contribute to the advancement of algebraic methodologies, particularly in handling uncertainties represented by neutrosophic elements. This work aims to present the idea of neutrosophic cubic sets in Z-algebras, as well as the usage of false membership function, truth, and indeterminacy in Z-algebras. Further, the results on -union, -intersection, -union, and -intersection of neutrosophic cubic Z-subalgebras are provided. This paper also discusses homomorphisms of Z-algebras and its associated characteristics.
Keywords: Z-algebra; Z-subalgebra; Cubic set; Cubic Z-subalgebra; Neutrosophic set; Neutrosophic cubic set; Neutrosophic cubic Z-subalgebra.