Almost φ-fuzzy semi-ideals in groupoids

Hee Sik Kim, Joseph Neggers, Sun Shin Ahn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we introduce the notions of an almost φ-fuzzy subalgebra and an almost φ-fuzzy semi-ideal in groupoids by using the concept of a function. This concepts are generalizations of a fuzzy subalgebra and a fuzzy ideal in groupoids respectively. We discuss some relations between almost φ-fuzzy subalgebras and vanishing, level subsets. By introducing the notions of (μ,φ)-extremes, e-ideals, we obtain several properties of almost φ-fuzzy subalgebras. The relations between almost φ-fuzzy semi-ideals and (μ,φ)-special elements are discussed. Finally we discuss fuzzy algebraic structures of almost φ-fuzzy semi-ideals by diagrams.

Original languageEnglish
Pages (from-to)5361-5368
Number of pages8
JournalJournal of Intelligent and Fuzzy Systems
Volume36
Issue number6
DOIs
StatePublished - 2019

Keywords

  • (μφ)-(extreme
  • Almost φ-fuzzy subalgebra (semi-ideal)
  • BCK/BCI-algebra
  • Bin(X)
  • E-ideal
  • Pre- level subset
  • Special)
  • Weak fuzzy subalgebra property
  • Weakly vanishing

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