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Hyper permeable values and energetic sets in BCK/BCI-algebras. (English) Zbl 1443.06009
Summary: The notions of hyper permeable subalgebraic value and hyper permeable idealistic value are introduced, and related properties 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 hyperfuzzy 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.
MSC:
06F35 BCK-algebras, BCI-algebras (aspects of ordered structures)
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References:
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