Geodesic
Approximation Spacesin Non-commutative Generalizations of $MV$-algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 83-92 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.
Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.
Classification : 06D35
Keywords: MV-algebra; GMV-algebra; rough set; approximation space; normal ideal; congruence 
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     title = {Approximation {Spacesin} {Non-commutative} {Generalizations} of $MV$-algebras},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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RACHŮNEK, Jiří; ŠALOUNOVÁ, Dana. Approximation Spacesin Non-commutative Generalizations of $MV$-algebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 83-92. http://geodesic.mathdoc.fr/item/AUPO_2015_54_2_a5/