MV-Test Spaces Versus MV-Algebras |
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| Authors: | Antonio Di Nola Anatolij Dvurečenskij |
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| Institution: | (1) Dept. Math. Inform., University of Salerno, Via S. Allende, I–84081 Baronissi, Salerno, Italy;(2) Slovak Academy of Sciences, Mathematical Institute,  tefánikova 49, SK-814 73 Bratislava, Slovakia |
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| Abstract: | In analogy with effect algebras, we introduce the test spaces and MV-test spaces. A test corresponds to a hypothesis on the propositional system, or, equivalently, to a partition of unity. We show that there is a close correspondence between MV-algebras and MV-test spaces. |
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| Keywords: | algebra effect algebra MV-algebra test space MV-test space state weight |
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