Affiliations: [a] Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran | [b] Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | [c] Department of Mathematics, University of New Mexico, Gallup, NM, USA
Correspondence:
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Corresponding author. Mohammad Hamidi, Department of Math., Faculty of Mathematics, Payame Noor University, Tehran, Iran. E-mail: [email protected].
Abstract: This study introduces the notion of n-valued refined neutrosophic (EQ-subalgebras)EQ–(pre)filters and investigates some of their properties. We show how to construct n-valued refined neutrosophic EQ-(pre)filters and determine the relationship between n-valued refined neutrosophic EQ-(pre)filters and EQ–(pre)filters with respect to (α, β, γ)-level set. Finally, the extension of n–valued refined neutrosophic EQ–(pre)filters are considered via homomorphisms and some applications of n–valued refined neutrosophic EQ–(pre)filters are presented.
