Czechoslovak Mathematical Journal, Vol. 53, No. 1, pp. 161-171, 2003

Some properties of residuated lattices

Radim Belohlavek

Institute for Res. and Appl. of Fuzzy Modeling, University of Ostrava, Brafova 7, CZ-701 03 Ostrava, Czech Republic, e-mail: radim.belohlavek@osu.cz

Abstract: We investigate some (universal algebraic) properties of residuated lattices - algebras which play the role of structures of truth values of various systems of fuzzy logic.

Keywords: residuated lattice, fuzzy logic, variety, congruence

Classification (MSC 2000): 03B52, 06F05, 08A30, 08A40, 08B05


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