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 semiring reducts of an MV-algebra. Then we describe the “Lukasiewicz Transform Based” (LTB) algorithm for image processing, demonstrating its applicability. Key words: MV-algebras, many valued logic, fuzzy relation equations, residuated maps 1991 MSC: 03B50, 03G10, 06D35

• Type: Journal
• Year: 2007
• Where: ISCI
• Authors: Antonio di Nola, Ciro Russo
• Keywords: Fuzzy Relation Equations, ISCI 2007, Lukasiewicz Transform, Maps 1991 Msc