The σ-complete MV-algebras which have enough states

• Autorzy: Antonio Di Nola , Mirko Navara
• Języki publikacji: EN

Abstrakty

EN

We characterize Łukasiewicz tribes, i.e., collections of fuzzy sets that are closed under the standard fuzzy complementation and the Łukasiewicz t-norm with countably many arguments. As a tool, we introduce σ-McNaughton functions as the closure of McNaughton functions under countable MV-algebraic operations. We give a measure-theoretical characterization of σ-complete MV-algebras which are isomorphic to Łukasiewicz tribes.

Kategorie tematyczne

• 06C15: Complemented lattices, orthocomplemented lattices and posets
• 28E10: Fuzzy measure theory
• 06D50: Lattices and duality
• 06D30: De Morgan algebras, \L ukasiewicz algebras
• 03E72: Fuzzy set theory
• 03B52: Fuzzy logic; logic of vagueness
• 06D35: MV-algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 1
• Strony: 121-130

Daty

wydano

2005

Twórcy

autor

Antonio Di Nola

• Department of Mathematics and Informatics, University of Salerno, via S. Allende, 84081 Baronissi, Salerno, Italy

autor

Mirko Navara

• Center for Machine Perception, Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University, Technická 2, 166 27 Praha 6, Czech Republic

Identyfikatory

DOI

10.4064/cm103-1-13