A note on interval -algebras
Ivan Chajda, Jan Kühr (2006)
Mathematica Slovaca
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Ivan Chajda, Jan Kühr (2006)
Mathematica Slovaca
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Ján Jakubík (2006)
Mathematica Slovaca
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Jiří Rachůnek, Filip Švrček (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Ján Jakubík (2002)
Czechoslovak Mathematical Journal
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In this paper we apply the notion of the product -algebra in accordance with the definition given by B. Riečan. We investigate the convex embeddability of an -algebra into a product -algebra. We found sufficient conditions under which any two direct product decompositions of a product -algebra have isomorphic refinements.
Antonio Di Nola, Mirko Navara (2005)
Colloquium Mathematicae
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We characterize Łukasiewicz tribes, i.e., collections of fuzzy sets that are closed under the standard fuzzy complementation and the Łukasiewicz t-norm with countably many arguments. As a tool, we introduce σ-McNaughton functions as the closure of McNaughton functions under countable MV-algebraic operations. We give a measure-theoretical characterization of σ-complete MV-algebras which are isomorphic to Łukasiewicz tribes.
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 -MV-algebras, we prove that, with every element in a -MV algebra , a spectral measure (i. e. an observable) can be associated, where denotes the Boolean...