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

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