Geodesic
Interior and Closure Operators on Commutative Bounded Residuated Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 1, pp. 121-134.

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Commutative bounded integral residuated lattices form a large class of algebras containing some classes of algebras behind many valued and fuzzy logics. In the paper we introduce and investigate additive closure and multiplicative interior operators on this class of algebras.
Classification : 03G10, 06A15, 06D35, 06F05
Keywords: residuated lattice; bounded integral residuated lattice; interior operator; closure operator 
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Rachůnek, Jiří; Svoboda, Zdeněk. Interior and Closure Operators on Commutative Bounded Residuated Lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 1, pp. 121-134. http://geodesic.mathdoc.fr/item/AUPO_2013__52_1_a9/