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HYPER PERMEABLE VALUES AND ENERGETIC SETS IN BCK/BCI-ALGEBRAS

Authors
Jun, Young BaeKim, Seon JeongSong, Seok-Zun
Issue Date
Jun-2020
Publisher
HONAM MATHEMATICAL SOC
Keywords
subalgebraic energetic subset; idealistic energetic subset; hyper permeable subalgebraic value; hyper permeable idealistic value
Citation
HONAM MATHEMATICAL JOURNAL, v.42, no.2, pp 197 - 211
Pages
15
Indexed
ESCI
KCI
Journal Title
HONAM MATHEMATICAL JOURNAL
Volume
42
Number
2
Start Page
197
End Page
211
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/6555
DOI
10.5831/HMJ.2020.42.2.197
ISSN
1225-293X
2288-6176
Abstract
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 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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