On Negations and Algebras in Fuzzy Set Theory
Franceso Esteva
EECS Department, University of California, Berkeley
Technical Report No. UCB/CSD-87-330
, 1987
http://www2.eecs.berkeley.edu/Pubs/TechRpts/1987/CSD-87-330.pdf
Dual automorphisms, involutions and intuitionistic negations on the lattice F(X) of Fuzzy Sets taking values on a complete distributive lattice L are characterized. All Symmetric, De Morgan and Intuitionistic Algebras on F(X) and their isomorphisms are described. Finally, negation functions and their conjugated classes are characterized.
BibTeX citation:
@techreport{Esteva:CSD-87-330, Author= {Esteva, Franceso}, Title= {On Negations and Algebras in Fuzzy Set Theory}, Year= {1987}, Month= {Mar}, Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1987/5999.html}, Number= {UCB/CSD-87-330}, Abstract= {Dual automorphisms, involutions and intuitionistic negations on the lattice F(X) of Fuzzy Sets taking values on a complete distributive lattice L are characterized. All Symmetric, De Morgan and Intuitionistic Algebras on F(X) and their isomorphisms are described. Finally, negation functions and their conjugated classes are characterized.}, }
EndNote citation:
%0 Report %A Esteva, Franceso %T On Negations and Algebras in Fuzzy Set Theory %I EECS Department, University of California, Berkeley %D 1987 %@ UCB/CSD-87-330 %U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1987/5999.html %F Esteva:CSD-87-330