Lukasiewicz transform and its application to compression and reconstruction of digital images
We define the Lukasiewicz transform as a residuated map and a homomorphism between semimodules over the sem-ring reducts of an MV-algebra. Then we describe the "Lukasiewicz Transform Based" (LTB) algorithm for image processing, demonstrating its applicability. (c) 2006 Elsevier Inc. All rights reserved.
residuated maps mv-algebras many valued logic fuzzy relation equations