On Symmetric \(f\) Bi-Derivations of Lattices

Recently Ozbal and Firat [22] introduced the notion of symmetric \( f \) bi-derivation of a lattice. They give illustrative examples and they also characterized the distributive lattice by symmetric \( f \) bi-derivation. In this paper, we define the isotone symmetric \( f \) bi-derivation and obtain some interesting results about isotoneness. We also provide the relations between distributive, modular, and isotone lattices through symmetric \( f \) bi-derivation.