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We are considering the algebraic structure of the Pawlak-Brouwer-Zadehlattice to distinguish vagueness due to imprecision from ambiguity due tocoarseness. We show that a general class of many-valued logics useful forreasoning about data emerges from this context. All these logics can beobtained from a very general seven-valued logic which, interestingly enough,corresponds to a reasoning system developed by Jaina philosophers fourcenturies BC. In particular, we show how the celebrated Belnap four-valuedlogic can be obtained from the very general seven-valued logic based on thePawlak-Brouwer-Zadeh lattice.

Pawlak, Belnap and the magical number seven