An application on intuitionistic fuzzy weakly 2-absorbing ideals of lattices


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Yazar S., ONAR S., ÖZKAN E. M.

Logic Journal of the IGPL, vol.33, no.6, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 6
  • Publication Date: 2025
  • Doi Number: 10.1093/jigpal/jzae127
  • Journal Name: Logic Journal of the IGPL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Keywords: intuitionistic fuzzy 2-absorbing primary ideals, intuitionistic fuzzy ideals, intuitionistic fuzzy ideals 2-absorbing ideals, lattice
  • Open Archive Collection: AVESIS Open Access Collection
  • Yıldız Technical University Affiliated: Yes

Abstract

In this study, we investigate the notion of an intuitionistic fuzzy prime ideal and intuitionistic fuzzy weakly 2-absorbing ideal of a lattice as an expansion of a notion of a weakly prime ideal. Then, we characterize the concept of intuitionistic fuzzy weakly 2-absorbing ideals and intuitionistic fuzzy weakly primary ideals and give some results. Finally, we suggest the concept of an intuitionistic fuzzy weakly 2-absorbing ideals in a product of lattices.