Neutrosophic Set Theory Applied to UP-Algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v12i4.3543Keywords:
UP-algebra, neutrosophic UP-subalgebra, neutrosophic near UP-filter, neutrosophic UP-filter, neutrosophic UP-ideal, neutrosophic strongly UP-idealAbstract
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.
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