Neutrosophic Set Theory Applied to UP-Algebras

Metawee Songsaeng, Aiyared Iampan

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.

Keywords

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

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