Energetic subsets and permeable values with applications in BCK/BCI-algebras

Young Bae Jun, Sun Shin Ahn, Eun Hwan Roh

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The notions of energetic (resp. right vanished, right stable) subsets and (anti) permeable value are introduced, and related properties are investigated. Thesenotions are applied to the theory of BCK/BCIalgebras. Regarding (anti) fuzzy subalgebras/ideals in BCK/BCI-algebras, relations between subalgebras/ideals and energetic subsets are investigated.

Original languageEnglish
Pages (from-to)4425-4438
Number of pages14
JournalApplied Mathematical Sciences
Volume7
Issue number89-92
DOIs
StatePublished - 2013

Keywords

  • (Anti) permeable value
  • Energetic subset
  • Fuzzy subalgebra/ideal
  • Right stable subsets
  • Right vanished subset

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