Journal article Open Access

Neutrosophic N -structures over UP-algebras

Phattharaphon Rangsuk; Pattarin Huana; Aiyared Iampan

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

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