%0 Journal Article %T Some types of derivations in bounded commutative residuated lattices %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Keubeng Yemene, D.L. %A Diekouam, L. %A Akume, D. %A Lele, C. %D 2020 %\ 11/01/2020 %V 1 %N 4 %P 21-37 %! Some types of derivations in bounded commutative residuated lattices %K Bounded commutative residuated lattice %K Boolean algebra %K derivation %K set of fixed points %K (F %K g)-derivation %R 10.52547/HATEF.JAHLA.1.4.2 %X In this paper, the notion of mutiplicative derivation, pseudo implicative derivation and implicative derivation on a bounded commutative residuated lattice are presented with some useful examples. We generalized these notions of derivation by introducing (f, g)-multiplicative derivation, (f, g)-pseudo implicative derivation and (f, g)-implicative derivation, and discussed some related properties; the conditions for (f, g)-multiplicative derivation, (f, g)-pseudo implicative derivation and (f, g)-implicative derivation to be monotone are provided. The set of fixed points is defined by using the notion of (f, g)-multiplicative derivation of bounded commutative residuated lattices. We also analyzed the link between different types of derivation. %U https://jahla.hatef.ac.ir/article_113802_a448b79ea1c24dc66b91ad558a4982c8.pdf