Signed $$\lambda $$λ-Measures on Effect Algebras

Abstract

The concepts of \(\lambda \)-measures and signed \(\lambda \)-measures (nonadditive measures) defined on effect algebras are introduced and investigated in this paper. A few examples of \(\lambda \)-measures and signed \(\lambda \)-measures are also given. Moreover, the Jordan decomposition theorem for signed \(\lambda \)-measures defined on effect algebras is also presented.