# 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