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 …

We study a nonlinear optimization problem with a system of fuzzy relational equations as its
constraints. We firstly investigate the resolution of the feasible region when it is defined with …

In this paper, we study the new linear objective function optimization with respect to the fuzzy
relational inequalities defined by max–min composition in which fuzzy inequality replaces …

In this paper, optimization of a linear objective function with fuzzy relational inequality
constraints is investigated whereby an arbitrary function is considered as fuzzy composition …

In the process of oil exploitation, the water level of an oil well can be predicted and the
position of reservoir can be estimated by measuring the water content of crude oil, with …

We present a new method for color image reduction based on the concept of fuzzy
transform. Any image in a single band can be considered as a fuzzy matrix which is …

We use fuzzy transforms for coding/decoding color frames of videos and we compare the
results with the same frames reconstructed with the standard JPEG method. We classify all …

In the present paper, we propose new image coding methods based on max-plus algebra-
based wavelet transforms (MP-Wavelets). Max-plus algebra is an algebraic structure on the …

In this paper, we present a new image compression method based on the direct and inverse
F1-transform, a generalization of the concept of fuzzy transform. Under weak compression …

In this paper, we investigate nonlinear optimization problems whose constraints are defined
as fuzzy relational equations (FRE) with max-min composition. Since the feasible solution …