On conjectures in orthocomplemented lattices
Artificial Intelligence
Lattice-theoretic models of conjectures, hypotheses and consequences
Artificial Intelligence
Additional Comments on Conjectures, Hypotheses, and Consequences in Orthocomplemented Lattices
AISC '00 Revised Papers from the International Conference on Artificial Intelligence and Symbolic Computation
Automata theory based on quantum logic: some characterizations
Information and Computation
Artificial Intelligence
Automata theory based on quantum logic: Reversibilities and pushdown automata
Theoretical Computer Science
On the reducibility of hypotheses and consequences
Information Sciences: an International Journal
A model for “crisp reasoning” with fuzzy sets
International Journal of Intelligent Systems
A note on a deductive scheme of Dummett in classical and fuzzy logics
Fuzzy Sets and Systems
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In a preordered set, or preset, consequence operators in the sense of Tarski, defined on families of subsets, are introduced. From them, the corresponding sets of conjectures, hypotheses, speculations and refutations are considered, studying the relationships between these sets and those previously defined on ortholattices. All the concepts introduced are illustrated with three particular consequence operators, whose behavior is studied in detail. The results obtained are applied to the case of fuzzy sets endowed with the usual pointwise ordering.