In this paper, we define the concept of (⊙, ∨)-derivations for BL-algebras and discuss some related results. We study this derivation on boolean center B(A) of a BL-algebra A. Finally, we investigate some properties of isotone (⊙, ∨)-derivations on a BL-algebra A and characterize the (⊙, ∨)-derivation on the G¨odel structure [0, 1].
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