Fermatean Fuzzy Prime Bi-ideal of ?-BCK Algebras

Abstract

The idea of a Fermatean fuzzy prime bi-ideal of ?-BCK algebras was proposed in this study, and some of its basic characteristics were examined. The cubic membership and non-membership conditions for bi-ideals are presented in relation to ?-structures. Additionally, we study the behaviour of these prime bi-ideal under homomorphism and characterise them using cubic level sets. Fermatean logic is used in the results to create a generalised foundation for fuzzy algebraic structures.