The fuzzy finite element method combines the wellestablished finite element method with the concept of fuzzy numbers, the latter being a special case of a fuzzy set.^{[1]} The advantage of using fuzzy numbers instead of real numbers lies in the incorporation of uncertainty (on material properties, parameters, geometry, initial conditions, etc.) in the finite element analysis.
One way to establish a fuzzy finite element (FE) analysis is to use existing FE software (inhouse or commercial) as an innerlevel module to compute a deterministic result, and to add an outerlevel loop to handle the fuzziness (uncertainty). This outerlevel loop comes down to solving an optimization problem. If the innerlevel deterministic module produces monotonic behavior with respect to the input variables, then the outerlevel optimization problem is greatly simplified, since in this case the extrema will be located at the vertices of the domain.
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Mod01 Lec40 Multi attribute decision making

Module 2 Lecture 3 Finite Element Method

Graph Theory  An Introduction!
Transcription
See also
References
 ^ Michael Hanss, 2005. Applied Fuzzy Arithmetic, An Introduction with Engineering Applications. Springer, ISBN 3540242015