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Single valued neutrosophic ordered subalgebras of ordered BCI-algebras

  • Eunsuk Yang*
  • , Eun Hwan Roh
  • , Young Bae Jun
  • *Corresponding author for this work
  • Chinju National University of Education
  • Gyeongsang National University

Research output: Contribution to journalJournal articlepeer-review

Abstract

In order to apply neutrosophic set theory to ordered BCI-algebra, the notion of single valued neutrosophic ordered subalgebra is introduced and several properties are investigated. The conditions under which single valued neutrosophic level subsets become ordered subalgebras are explored. It is investigated when the T-neutrosophic q-set, I-neutrosophic q-set and F-neutrosophic q-set can be ordered subalgebras. A special set X 10 is created and conditions are established in which it becomes an ordered subalgebra.

Original languageEnglish
Pages (from-to)481-493
Number of pages13
JournalNeutrosophic Sets and Systems
Volume60
DOIs
StatePublished - 2023

Keywords

  • Ordered BCI-algebra
  • ordered subalgebra
  • single valued neutrosophic level subset
  • single valued neutrosophic ordered subalgebra
  • T- (resp., F- and I-) neutrosophic q-set
  • T- (resp., F- and I-) neutrosophic ∈∨q-set

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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