On Subtractive Derivations of Rl-Monoids.

This paper is intended to introduce the subtractive derivations and study some of their algebraic properties on R l -monoids. Also, we give some characterizations of subtractive derivations on the Gödel center. Moreover, Gödel algebras are characterized by a fixed set of subtractive derivations. Finally, we discuss the relationship between subtractive derivations and other derivations for R l -monoids. These results of the paper can provide the common properties of subtractive derivations in the t-norm-based fuzzy logical algebras. [ABSTRACT FROM AUTHOR]