Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

On the Structure of F-Indistinguishability Operators

L. Valverde

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-84-200
September 1984

http://www.eecs.berkeley.edu/Pubs/TechRpts/1984/CSD-84-200.pdf

Some properties concerning the structure of the F-indistinguishability operators are analyzed. It is shown that any of such operators is generated by a family of fuzzy subsets. This result, since it gives the way to construct F-indistinguishabilities, facilitates new applications of fuzzy relations. The links between F-indistinguishability operators and a kind of generalized metrics in the unit interval -- which are also explored -- are used to define the canonical generators of a F-indistinguishability operator that is, the fuzzy partition associated with the operator.


BibTeX citation:

@techreport{Valverde:CSD-84-200,
    Author = {Valverde, L.},
    Title = {On the Structure of F-Indistinguishability Operators},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1984},
    Month = {Sep},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1984/5948.html},
    Number = {UCB/CSD-84-200},
    Abstract = {Some properties concerning the structure of the F-indistinguishability operators are analyzed. It is shown that any of such operators is generated by a family of fuzzy subsets. This result, since it gives the way to construct F-indistinguishabilities, facilitates new applications of fuzzy relations. The links between F-indistinguishability operators and a kind of generalized metrics in the unit interval -- which are also explored -- are used to define the canonical generators of a F-indistinguishability operator that is, the fuzzy partition associated with the operator.}
}

EndNote citation:

%0 Report
%A Valverde, L.
%T On the Structure of F-Indistinguishability Operators
%I EECS Department, University of California, Berkeley
%D 1984
%@ UCB/CSD-84-200
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/1984/5948.html
%F Valverde:CSD-84-200