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A Novel Study on Intuitionistic Fuzzy 2-Absorbing Primary Ideals of a Lattice
Salih Yazar, Serkan Onar, Erdogan Mehmet Özkan and Kostaq Hila
This study introduces the concepts of intuitionistic fuzzy prime ideal, prime intuitionistic fuzzy ideal, intuitionistic fuzzy 2-absorbing, 2- absorbing intuitionistic fuzzy ideal, intuitionistic fuzzy primary ideal, and primary intuitionistic fuzzy ideal on a lattice. Then, intuitionistic fuzzy 2-absorbing primary ideals of a lattice are characterized. The transitions among these concepts and their relationships with the ideals of a lattice are discussed. Finally, these concepts are examined on a lattice formed by the Cartesian product of lattices.
Keywords: Lattice, intuitionistic fuzzy ideal, intuitionistic fuzzy prime ideal, intuitionistic fuzzy 2-absorbing ideal, intuitionistic fuzzy primary ideal