We introduce bi-capacities as a natural generalization of capacities (or fuzzy measures) through the identity of Choquet integral of binary alternatives with fuzzy measures. We examine the underlying structure and derive the Möbius transform of bi-capacities. Next, the Choquet and Sugeno integrals w.r.t bicapacities are introduced. It is shown that symmetric and asymmetric integrals are recover...

Since 1965 the fuzzy set theory and its application have deep development especially in many disciplines close to the automatic control of processes. A fuzzy model has been shown to be able to approximate the behaviour of many complex processes. Very robust fuzzy controller can be constructed in various ways. One of them, learning algorithm, is focused in this paper while the approximation idea...

We present a multi-stage character recognition system for an Indian script, namely, Bengali (also called Bangla) using fuzzy features and multilayer perceptrons (MLP). The fuzzy features are extracted from Hough transform of a character pattern pixels. We first define a number of fuzzy sets on the Hough transform accumulator cells. The fuzzy sets are then combined by t-norms to generate feature...

With some modifications, we adopt the coding/decoding method of image processing based on the direct and inverse fuzzy transforms defined in previous papers. By normalizing the values of its pixels, any image can be considered as a fuzzy matrix (relation) which is subdivided in submatrices (possibly square) called blocks. Each block is compressed with the formula of the discrete fuzzy transform...