Abstract: In this paper, we
define a signed fuzzy measure on s-algebras as well as
define positive and negative fuzzy sets. Herein, we will show that the Fuzzy
Hahn Decomposition Theorem decomposes any space X
into a positive fuzzy set A and a
negative fuzzy set B such that and the signed fuzzy measure of is 0.
Keywords and phrases: fuzzy measure, signed measure, Hahn decomposition, fuzzy sets.
