JPEG Still Image Data Compression Standard
JPEG Still Image Data Compression Standard
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Filters for Image Processing
Fuzzy Filters for Image Processing
Relational image compression: optimizations through the design of fuzzy coders and YUV color space
Soft Computing - A Fusion of Foundations, Methodologies and Applications
A method for coding/decoding images by using fuzzy relation equations
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Efficient local transformation estimation using Lie operators
Information Sciences: an International Journal
Łukasiewicz transform and its application to compression and reconstruction of digital images
Information Sciences: an International Journal
Compression and decompression of images with discrete fuzzy transforms
Information Sciences: an International Journal
Measure of image sharpness using eigenvalues
Information Sciences: an International Journal
Solutions of fuzzy relation equations based on continuous t-norms
Information Sciences: an International Journal
Optimization of fuzzy relational equations with max-av composition
Information Sciences: an International Journal
Solution sets of fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
On the minimal solutions of max--min fuzzy relational equations
Fuzzy Sets and Systems
Information Sciences: an International Journal
An algorithm for solving fuzzy relation equations with max-T composition operator
Information Sciences: an International Journal
Infinite fuzzy relation equations with continuous t-norms
Information Sciences: an International Journal
An image coding/decoding method based on direct and inverse fuzzy transforms
International Journal of Approximate Reasoning
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
Improved batch fuzzy learning vector quantization for image compression
Information Sciences: an International Journal
On finite relation equations with sup-conjunctor composition over a complete lattice
Fuzzy Sets and Systems
Information Sciences: an International Journal
Optimization of linear objective function with max-t fuzzy relation equations
Applied Soft Computing
Computers and Industrial Engineering
Minimizing a nonlinear function under a fuzzy max-t-norm relational equation constraint
Expert Systems with Applications: An International Journal
Journal of Computational and Applied Mathematics
A segmentation method for images compressed by fuzzy transforms
Fuzzy Sets and Systems
Fuzzy transforms: Theory and applications
Fuzzy Sets and Systems
Approximation of extensional fuzzy relations over a residuated lattice
Fuzzy Sets and Systems
Max-plus algebra-based wavelet transforms and their FPGA implementation for image coding
Information Sciences: an International Journal
Fuzzy transforms for compression and decompression of color videos
Information Sciences: an International Journal
Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint
Information Sciences: an International Journal
Some averaging functions in image reduction
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part III
On fuzzy relational equations and the covering problem
Information Sciences: an International Journal
Solving the minimal solutions of max-product relation equation by graph method and branch method
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part I
The quadratic programming problem with fuzzy relation inequality constraints
Computers and Industrial Engineering
Fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
On various eigen fuzzy sets and their application to image reconstruction
Information Sciences: an International Journal
Fragile watermarking tamper detection with images compressed by fuzzy transform
Information Sciences: an International Journal
Linear optimization with an arbitrary fuzzy relational inequality
Fuzzy Sets and Systems
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization
Information Sciences: an International Journal
Image matching by using fuzzy transforms
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms 2013
An algorithm for solving optimization problems with fuzzy relational inequality constraints
Information Sciences: an International Journal
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We adopt fuzzy relation equations with continuous triangular norms for compression/decompression processes of grey images, colour images in the RGB space and frames of videos, by comparing the results of the reconstructed images with standard methods like JPEG and MPEG-4. Any image is subdivided in blocks and each block is coded/decoded using arbitrary fuzzy sets as coders in the fuzzy equations. We evaluate the peak signal to noise ratio (PSNR) on the decompressed images for several values of the compression rates as measure of the quality of images and frames reconstructed. The original frames of a video are classified in Intra-frames and Predictive frames by using a similarity measure based on the well known Lukasiewicz t-norm.