University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 2 2 2013 12 01 On (⊙, ∨)-derivation for BL-algebras 151 162 2564 10.22098/jhs.2013.2564 EN L. Torkzadeh Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran L. Abbasian Department of Statistics, Kerman Branch, Islamic Azad University, Kerman, Iran Journal Article 2013 01 26 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]. https://jhs.uma.ac.ir/article_2564_c1afc93eaeefdda3ccff11d26c32a194.pdf