A Note on Fuzzy Derivations of Some Ideals on D-Algebras

Abstract

The main aim of this paper is to consider fuzzy derivations of some ideals on d-algebras. First, we investigate fuzzy (right, left) derivations of fuzzy d-ideals on d-algebras and study some of their properties. Also, we define fuzzy derivations of H-ideals on d-algebras. Finally, we prove that a fuzzy set mu of a d-algebra A is a fuzzy (right, left) derivation of H-ideals on A if and only if for any fixed k is an element of [0, 1], mu k is either empty or (right, left) derivation of H-ideals on A, where mu k the upper level of mu.(c) 2023 Elsevier B.V. All rights reserved.