# 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