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},
    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 1986
%@ UCB/CSD-87-330
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/1986/5999.html
%F Esteva:CSD-87-330