Fuzzy set representations of some quantum structures
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. (C) 1999 Elsevier Science B.V. All rights reserved.
fuzzy set orthomodular poset orthoalgebra effect algebra order determining system of states state mv-algebras lukasiewicz t-norm