Geodesic
$MV$-test spaces versus $MV$-algebras
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 189-203

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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.
Classification : 03B50, 03G12, 06D35
Keywords: algebra; effect algebra; $MV$-algebra; test space; $MV$-test space; state; weight 
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     author = {Nola, Antonio Di and Dvure\v{c}enskij, Anatolij},
     title = {$MV$-test spaces versus $MV$-algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {189--203},
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     volume = {54},
     number = {1},
     year = {2004},
     mrnumber = {2040231},
     zbl = {1049.03044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a16/}
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Nola, Antonio Di; Dvurečenskij, Anatolij. $MV$-test spaces versus $MV$-algebras. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 189-203. http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a16/