A generalized λ-fuzzy measure and its application in image enhancement

In this paper, a new concept of generalized λ - fuzzy measure is introduced, and it is a non-negative, extended real-valued set function satisfying generalized σ - λ - rule, and is not necessarily monotone. The relationships between this new concept and λ - fuzzy measure, a signed measure and so on, are discussed, and it is worth noting that any generalized λ - fuzzy measure is a signed measure under some conditions. Moreover, an application of generalized λ - fuzzy measure in image enhancement is given, and the corresponding experiment shows that different values of λ have different influences on an image.