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.

Citation: Aversa L, Taioli S, Nardi MV, Tatti R, Verucchi R and Iannotta S (2015) The interaction of C60 on Si(111) 7×7 studied by supersonic molecular beams: interplay between precursor kinetic energy and substrate temperature in surface activated processes. Front. Mater. 2:46. doi: 10.3389/fmats.2015.00046 The interaction of C60 on Si(111) 7×7 studied by supersonic molecular beams: interplay ...

We investigate interpretations ‖ψ‖D of formulas ψ in a first order fuzzy logic in models D which are based on Ω-sets, i.e. sets with similarity relations with values in a complete MV-algebra Ω. These interpretations are fuzzy sets in some Ωsets. We show that if φ : D1 → D2 is a strong homomorphism between two models then there are also strong relationships between interpretations ‖ψ‖D1 and ‖ψ‖D...

Using a slow liquid-gas diffusion method, the mixed-valence viologen salt (MV)2(BF4)3 (1) and the radical cation salt (MV)(BF4) (2) are crystallized. Both structures contain regular stacks of MV˙(+) radical cations (2) or alternating MV˙(+) and MV(2+) entities (1). A short intrastack intermolecular separation (3.23 Å) unprecedently reveals strong interactions between MV(2+) and MV˙(+) in 1.

Abnormal mitral valve (MV) morphology may lead to high stress generation. Computational simulation of the MV apparatus may help us better understand and characterize the biomechanics and physiology of MV function and disease-related alterations. The MV apparatus geometry was identified using three-dimensional (3D) transesophageal echocardiographic (TEE) patient data. These data were converted i...