Hyper permeable values and energetic sets in $BCK/BCI$-algebras

Young Bae Jun, Seon Jeong Kim · Honam Mathematical Journal · 2020

The notions of hyper permeable subalgebraic value and hyper permeable idealistic value are introduced, and related proper- ties are investigated. Given a pair of two numbers in a unit interval, conditions for the pair to be hyper permeable subalgebraic value and hyper permeable idealistic value are discussed. Given hyper- fuzzy structures, conditions for their level sets to be subalgebraic energetic, idealistic energetic, right stable and right vanished are considered. Relations between hyper permeable subalgebraic value and hyper permeable idealistic value are studied.

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