INFLUENCE OF FUZZY PARAMETER IN EQUATIONS AND INEQUATIONS

olivier =?iso-8859-1?Q?h=E9lary?= (olivier.helary@ircyn.ec-nantes.fr)
Fri, 16 Jul 1999 15:22:18 +0200 (MET DST)

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SUBJECT : INFLUENCE OF FUZZY PARAMETER IN EQUATIONS AND INEQUATIONS

Does anyone help me about the influence of fuzzy parameters in equations
and inequations ?
Coul you give me references of books or articles....

More about the question:

A function F(x,a) could be describe an equation (F=0) or an inequation
(F<0) whereas x=(x1,x2,x3,...,xn) is the vector of variables and a the
parameter vector
I 've seen that the fuzzy logic succeeds to model fuzzy parameters (LR,
etc).
With the extension principe (ZADEH), it is possible to find the
membership function if the funcion F is injective (F-1 is defined). It
is not every time the case ! Moreover, we must have the model of x and
a (the parameter). If we have no idea to model the membership function
of x. How to do ?

The solution of intervall method (alpha-cut) is forbidden !

kind regards
Thanks for your help.

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SUBJECT : INFLUENCE OF FUZZY PARAMETER IN EQUATIONS AND INEQUATIONS

Does anyone help me about the influence of fuzzy parameters in equations and inequations ?
Coul you give me references of books or articles....

More about the question:

A function F(x,a) could be describe an equation (F=0) or an inequation (F<0) whereas x=(x1,x2,x3,...,xn)  is the vector of variables and a the parameter vector
I 've seen that the fuzzy logic succeeds to model fuzzy parameters (LR, etc).
With the extension principe (ZADEH), it is possible to find the membership function if the funcion F is injective (F-1 is defined). It is not every time the case !  Moreover, we must have the model of x and a (the parameter). If we have no idea to model the membership function of x. How to do ?

The solution of intervall method (alpha-cut) is forbidden !

kind regards
Thanks for your help.
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