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