Abstract
Quantum structures are algebraic structures like quantum logics (orthomodular posets and lattices), orthoalgebras, effect algebras (D-posets) which model event structures of quantum mechanics. The elements of orthomodular posets can be represented by question observables having their spectrum in {0, 1}, so they are considered as two-valued physical quantities. We show that if such a structure possesses an order determining system of states (=probability measures), it can be represented by a system of fuzzy sets and conversely.
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