Novel concepts of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras

Anas Al-Masarwah, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we introduce the notion of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras and investigate some interesting properties. We characterize strong doubt positive t-level cut set, strong doubt negative s-level cut set, homomorphism and equivalence relation by considering doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. Characterization theorem of characteristic doubt bipolar fuzzy H-ideals is also discussed. Particularly, the notion of Cartesian product of two doubt bipolar fuzzy H-ideals by using max-min operations is introduced, and some related properties are studied. Ordinary H-ideals are linked with doubt bipolar fuzzy H-ideals by means of doubt level cut set of Cartesian product of two bipolar-valued fuzzy sets.

Original languageEnglish
Pages (from-to)2025-2041
Number of pages17
JournalInternational Journal of Innovative Computing, Information and Control
Volume14
Issue number6
DOIs
Publication statusPublished - 1 Dec 2018

Fingerprint

BCK-algebra
Algebra
Cutset
Fuzzy sets
Cartesian product
Characterization Theorem
Equivalence relation
Min-max
Homomorphism
Fuzzy Sets
Concepts

Keywords

  • BCK/BCI-algebra
  • Cartesian product
  • Characteristic doubt bipolar fuzzy H-ideal
  • Doubt bipolar fuzzy H-ideal

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics

Cite this

Novel concepts of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. / Al-Masarwah, Anas; Ahmad, Abd. Ghafur.

In: International Journal of Innovative Computing, Information and Control, Vol. 14, No. 6, 01.12.2018, p. 2025-2041.

Research output: Contribution to journalArticle

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