Neutrosophic Set Theory Applied to UP-Algebras

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3543

Keywords:

UP-algebra, neutrosophic UP-subalgebra, neutrosophic near UP-filter, neutrosophic UP-filter, neutrosophic UP-ideal, neutrosophic strongly UP-ideal

Abstract

The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.

Downloads

Published

2019-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Neutrosophic Set Theory Applied to UP-Algebras. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1382-1409. https://doi.org/10.29020/nybg.ejpam.v12i4.3543