Fleas and Fuzzy Logic

PETR HAJEK

Fleas are generalized BL-algebras; they are algebras of truth functions of a fuzzy logic called flea logic – common generalization of the well-known three generalizations of the fuzzy (propositional) logic BL, namely the monoidal t-norm logic MTL, the hoop logic BHL and the non-commutative logic psBL. Algebraic and logical properties are investigated.