Permeable values and energetic sets in $BCK/BCI$-algebras based on fuzzy points

The notions of $(\in,$ $\in \! \vee \, {q})$-permeable S-value and $(\in,$ $\in \! \vee \, {q})$-permeable I-value are introduced, and related properties are investigated. Relations among $(\in,$ $\in \! \vee \, {q})$-fuzzy subalgebra, $(\in,$ $\in \! \vee \, {q})$-fuzzy ideal, (strong) lower and (s...

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Veröffentlicht in:Honam mathematical journal 2019, 41(3), , pp.581-593
Hauptverfasser: Seok Zun Song, 김희식, EUN HWAN ROH, YOUNG BAE JUN
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Sprache:eng
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Zusammenfassung:The notions of $(\in,$ $\in \! \vee \, {q})$-permeable S-value and $(\in,$ $\in \! \vee \, {q})$-permeable I-value are introduced, and related properties are investigated. Relations among $(\in,$ $\in \! \vee \, {q})$-fuzzy subalgebra, $(\in,$ $\in \! \vee \, {q})$-fuzzy ideal, (strong) lower and (strong) upper level sets, $(\in,$ $\in \! \vee \, {q})$-permeable S-value, $(\in,$ $\in \! \vee \, {q})$-permeable I-value, S-energetic set, I-energetic set, right stable set and right vanished set are discussed. KCI Citation Count: 0
ISSN:1225-293X
2288-6176
DOI:10.5831/HMJ.2019.41.3.581