On Negations and Algebras in Fuzzy Set Theory
Franceso Esteva
EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-87-330
March 1986
http://www.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},
Institution = {EECS Department, University of California, Berkeley},
Year = {1986},
Month = {Mar},
URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1986/5999.html},
Number = {UCB/CSD-87-330}
}
EndNote citation:
%0 Report %A Esteva, Franceso %T On Negations and Algebras in Fuzzy Set Theory %I EECS Department, University of California, Berkeley %D 1986 %@ UCB/CSD-87-330 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1986/5999.html %F Esteva:CSD-87-330