Muhammad Akram, Jacob Kavikumar, Azme Bin Khamis, Zaffar Iqbal and A.H. Nor Shamsidah

DOI: 10.14456/sjst-psu.2017.46

pp. 415 - 427

Abstract

The notion of N-fuzzy sets (NFS) has been applied to a newly defined algebraic structure bi Γ-ternary semigroup. The
notions of N-fuzzy bi Γ-ternary subsemigroups and N-fuzzy bi Γ-left (right, lateral, quasi, and bi) ideals have been defined
and related properties have been investigated. The characterization of bi -ternary semigroup under these ideals have been
established. 2010 AMS Classifications: 08A72, 20N10, 20M12

Keywords

• BiΓ-ternary semigroup
• N-fuzzy set
• N-fuzzy biΓ-ternary subsemigroup
• N-fuzzy biΓ-ideal