The fuzzy transform (F-transform) is ubiquitous in different research fields and applications, such as image data compression, mining, knowledge discovery, the analysis of linguistic expressions. As a generalization F-transform, this article, we introduce continuous F-transform its inverse, an integral operator induced by kernel function. Through relation between membership functions kernels, s...

A signal processed by the Discrete Wavelet Transform (DWT) must be periodic for perfect reconstruction to be possible. A signal that is non-periodic but which exists for a nite time can be \periodised" by repeating the signal again at its own end, making it suitable for processing by the DWT. For a continuous-time non-periodic signal, the signal has no end and as such it cannot be periodised an...