Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras

Abstract

The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strong UP-ideals were introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Neutrosophic set theory applied to UP-algebras, Eur. J. Pure Appl. Math., 12 (2019), 1382-1409]. In this paper, we introduce the notions of neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras by applying the notions of implicative UP-filters, comparative UP-filters, and shift UP-filters of UP-algebras to neutrosophic set, and investigate some of their important properties. Relations between neutrosophic implicative UP-filters (resp., neutrosophic comparative UP-filters, neutrosophic shift UP-filters) and their level subsets are consider.