multi-criteria optimization

Towards a Nash game strategy approach to blind image deconvolution: a fractional-order derivative variational framework

Image restoration is a critical process aimed at recovering degraded images, often impacted by factors including motion blur, sensor blurring, defocused photography, optical aberrations, atmospheric distortions, and noise-induced blur.  The inherent challenge lies in the typical scenario where both the original image and the blur kernel (Point Spread Function, PSF) are unknown.  This restorative process finds applications in various fields, including sensing, medical imaging, astronomy, remote sensing, and criminal investigations.  This paper introduces an innovative ap

Multi-criteria optimization in terms of fuzzy criteria definitions

The problems of multi-criteria optimization are considered. Known methods for solving these problems are generalized to the case when weights that take into account the relative importance of particular criteria are not clearly defined. The procedure for constructing membership functions of fuzzy numbers, given by sets of intervals of possible values, using a linearized computation of least squares methods is substantiated. In this case, for the description of fuzzy numbers, the membership functions of (L-R)-type were chosen.