Modelling uncertainties in limit state functions

Modelling uncertainties in limit state functions

• Ordering: pf ≤ p X 6 →Z f ≤ p R,X 6 →Z f and p S f ≤ p RS f ≤ p R,X 6 →Z f . • Strong independence: Complete information about the uncertain limit state function is needed. • Epistemic irrelevance: Sufficient to know q which condenses the uncertain limit state function. q could be a starting point for uncertainty modelling. • Random set independence: Possibility to combine upper probabilities...

Limit summability of ultra exponential functions

In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

Fuzzy label methods for constructing imprecise limit state functions

In reliability analysis of engineering systems it is conventional to represent the limit state function as a precise surface. Uncertainty in the limit state function may be represented by introducing one or more additional random variables. However, the meaning of the additional random variable(s) is unclear and seldom does justice to the uncertainties in the subtle combination of expert judgem...

Modelling of Uncertainties with Modelica

Many industrial applications, e.g. in power systems, need to use uncertain information (e.g. coming from sensors). The influence of uncertain measurements on the behavior of the system must be assessed, for safety reasons for instance. Also, by combining information given by physical models and sensor measurements, the accuracy of the knowledge of the state of the system can be improved, leadin...

Modelling Uncertainties in Advanced Knowledge Management