This work introduces the Boolean (quotient) lattice (QI, ⊆), an element of whom is the union of countable (closed) intervals on the real line. It follows that (QI, ∪, ∩, ‘) is a lattice implication algebra (LIA), the latter is an established framework for reasoning under uncertainty. It is illustrated in (QI, ∪, ∩, ‘) how fuzzy lattice reasoning (FLR) techniques, for tunable decision-making, can be extended to lattice-valued logic. Potential practical applications are described.
V.G. Kaburlasos, “Fuzzy lattice reasoning (FLR) extensions to lattice-valued logic”, 16th Panhellenic Conference on Informatics (PCI 2012), Piraeus, Greece, 5-7 October 2012. IEEE 2012 Copyright, Dimitrios D. Vergados, Costas Lambrinoudakis (Eds.), pp. 445-448