Topological aggregation: a unified framework for both Quantum and Classical Logic?
Sprache des Vortragstitels:
Logic, Dynamics, and Their Interactions II
Sprache des Tagungstitel:
The concept of dependence and information aggregation is present in all scientific areas. When
working with mathematical concepts of dependence and aggregation, we often use more structural properties than it is needed. Once it gives us the advantage of simplicity but sometimes it is a burden
diverting attention from important clues to new discovery. By employing aggregation on topological space, one can address two imprecision structures at once: imprecision in logic operation by employing the "fuzzy" concept together with imprecision of space irregularities by relaxation of the metrizability condition. The latter one may play a crucial role in a fuzzy logical inference on complex sets.