m-Polar (α, β)-fuzzy ideals in BCK/BCI-Algebras

Anas Al-Masarwah, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Multi-polar vagueness in data plays a prominent role in several areas of the sciences. In recent years, the thought of m-polar fuzzy sets has captured the attention of numerous analysts, and research in this area has escalated in the past four years. Hybrid models of fuzzy sets have already been applied to many algebraic structures, such as BCK/BCI-algebras, lie algebras, groups, and symmetric groups. A symmetry of the algebraic structure, mathematically an automorphism, is a mapping of the algebraic structure onto itself that preserves the structure. This paper focuses on combining the concepts of m-polar fuzzy sets and m-polar fuzzy points to introduce a new notion called m-polar (α, β)-fuzzy ideals in BCK/BCI-algebras. The defined notion is a generalization of fuzzy ideals, bipolar fuzzy ideals, (α, β)-fuzzy ideals, and bipolar (α, β)-fuzzy ideals in BCK/BCI-algebras. We describe the characterization of m-polar (ε, ε vq)-fuzzy ideals in BCK/BCI-algebras by level cut subsets. Moreover, we define m-polar (ε, ε vq)-fuzzy commutative ideals and explore some pertinent properties.

Original languageEnglish
Article number44
JournalSymmetry
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

BCK-algebra
Fuzzy Ideal
Algebra
algebra
fuzzy sets
Fuzzy sets
Algebraic Structure
Polar Set
Fuzzy Sets
Fuzzy Point
Set theory
Vagueness
set theory
Hybrid Model
Symmetric group
Automorphism
Lie Algebra
Symmetry
symmetry
Subset

Keywords

  • BCK/BCI-algebra
  • m-polar (α, β)-fuzzy ideal
  • m-polar (ε, ε vq)-fuzzy commutative ideal
  • m-polar (ε, ε vq)-fuzzy ideal

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

m-Polar (α, β)-fuzzy ideals in BCK/BCI-Algebras. / Al-Masarwah, Anas; Ahmad, Abd. Ghafur.

In: Symmetry, Vol. 11, No. 1, 44, 01.01.2019.

Research output: Contribution to journalArticle

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