Fuzzy Duplex UP-Algebras

Aiyared Iampan, Metawee Songsaeng, Ghulam Muhiuddin

Abstract

Using the concept of a neutrosophic quadruple number to a fuzzy duplex number, we introduce the notion of a fuzzy duplex UP-algebra, and investigate some related properties. Also, we find the necessary condition for a fuzzy duplex UP-set to be a fuzzy duplex UP-algebra. Furthermore, we study the relationship between special subsets of a UP-algebra and special subsets of a fuzzy duplex UP-set.

Keywords

UP-algebra, UP-subalgebra, near UP-filter, UP-filter, UP-ideal, strong UP-ideal, fuzzy duplex UP-set, fuzzy duplex UP-algebra

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