Displaying similar documents to “Nikodým convergence theorem for uniform space valued functions defined on D -posets”

On the extension of D -poset valued measures

Beloslav Riečan (1998)

Czechoslovak Mathematical Journal

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A variant of Alexandrov theorem is proved stating that a compact, subadditive D -poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.

D -posets

František Kôpka, Ferdinand Chovanec (1994)

Mathematica Slovaca

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Fuzzy quantum logics.

Maria Luisa Dalla Chiara, Roberto Giuntini (1996)

Mathware and Soft Computing

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Quantum logic is a particular example of a fuzzy quantum logic. QL is semantically characterized by the class of all quantum MV algebras. The standard quantum MV algebra is based on the set of all effects in a Hilbert space. From the physical point of view, effects represent physical properties that may be noisy and ambiguous.

A spectral theorem for σ MV-algebras

Sylvia Pulmannová (2005)

Kybernetika

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MV-algebras were introduced by Chang, 1958 as algebraic bases for multi-valued logic. MV stands for “multi-valued" and MV algebras have already occupied an important place in the realm of nonstandard (mathematical) logic applied in several fields including cybernetics. In the present paper, using the Loomis–Sikorski theorem for σ -MV-algebras, we prove that, with every element a in a σ -MV algebra M , a spectral measure (i. e. an observable) Λ a : ℬ ( [ 0 , 1 ] ) → ℬ ( M ) can be associated, where ℬ ( M ) denotes the Boolean...