Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

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