The σ-complete MV-algebras which have enough states

Antonio Di Nola, and Mirko Navara. "The σ-complete MV-algebras which have enough states." Colloquium Mathematicae 103.1 (2005): 121-130. <http://eudml.org/doc/283913>.

@article{AntonioDiNola2005,
abstract = {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.},
author = {Antonio Di Nola, Mirko Navara},
journal = {Colloquium Mathematicae},
keywords = {MV-algebra; -complete MV-algebra, McNaughton function; tribe},
language = {eng},
number = {1},
pages = {121-130},
title = {The σ-complete MV-algebras which have enough states},
url = {http://eudml.org/doc/283913},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Antonio Di Nola
AU - Mirko Navara
TI - The σ-complete MV-algebras which have enough states
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 121
EP - 130
AB - 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.
LA - eng
KW - MV-algebra; -complete MV-algebra, McNaughton function; tribe
UR - http://eudml.org/doc/283913
ER -