Data compression with fuzzy relational equations
Fuzzy Sets and Systems - Information processing
Fuzzy relation equations for coding/decoding processes of images and videos
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Optimization and Decision Making
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Łukasiewicz transform and its application to compression and reconstruction of digital images
Information Sciences: an International Journal
Fuzzy transforms: Theory and applications
Fuzzy Sets and Systems
Fuzzy transform as an additive normal form
Fuzzy Sets and Systems
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
A coloring fuzzy graph approach for image classification
Information Sciences: an International Journal
On various eigen fuzzy sets and their application to image reconstruction
Information Sciences: an International Journal
A motion compression/reconstruction method based on max t-norm composite fuzzy relational equations
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
The fuzzy transformation and its applications in image processing
IEEE Transactions on Image Processing
Improved batch fuzzy learning vector quantization for image compression
Information Sciences: an International Journal
A segmentation method for images compressed by fuzzy transforms
Fuzzy Sets and Systems
Fuzzy transforms method and attribute dependency in data analysis
Information Sciences: an International Journal
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
Fuzzy transforms method in prediction data analysis
Fuzzy Sets and Systems
Fragile watermarking tamper detection with images compressed by fuzzy transform
Information Sciences: an International Journal
Detection of fuzzy association rules by fuzzy transforms
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms (2012)
Image matching by using fuzzy transforms
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms 2013
Coding B-frames of color videos with fuzzy transforms
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms 2013
A color image reduction based on fuzzy transforms
Information Sciences: an International Journal
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In foregoing papers we have used the compression/decompression method of images based on the concept of discrete fuzzy transform (and its inverse) of a function f defined on a real interval with respect to the fuzzy sets A"1,...,A"n forming a fuzzy partition of such interval. Here we make a detailed experimental comparison with the similar method based on the fuzzy transforms F^@6 and F^@7 of f defined via a continuous triangular norm and its corresponding residuum, respectively. We consider some images of sizes 256x256 (pixels) extracted from the well-known database Corel Galery (Arizona Directory). By using the same compression rate in both methods, we have that the PSNR (Peak Signal to Noise Ratio) obtained with the discrete fuzzy transform (and its inverse) of f is more higher than the PSNR determined with the operators F^@6 and F^@7 defined via the usual Lukasiewicz, product and minimum triangular norms. Moreover, we compare our results with the classical JPEG method for values of compression rate approximately equal to those used in the previous methods.