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    QUANTALE MODULES

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    Lukasiewicz transform and its application to compression and reconstruction of digital images

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    We define the Łukasiewicz transform as a residuated map and a homomorphism between semimodules over the semiring reducts of an MV-algebra. Then we describe the “Łukasiewicz Transform Based” (ŁTB) algorithm for image processing, demonstrating its applicability
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