Evaluation of Uncertainties in the Design Process of Complex Mechanical Systems
Abstract
:1. Introduction
2. Complexity
3. Uncertainty
4. Fair Distribution of Resources
- If in the probability space
- is a finite non-empty set;
- A is an off the subset in of the events;
- P is a probability measure on A,
- One thus obtains the data, , for the distribution from the subset , while the sub-rules are:
- If thenIf then the distribution is consistent.
- If and then the value of the upper set determines the lower distributions and the one of the lower set determines the higher distribution (Table 1).
5. Measure of the Information of a Distribution of Imprecise Data
6. Conclusions
Author Contributions
Conflicts of Interest
References
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Well-Known Values | Values Included in Intervals | Values of the Laplace-Bernuille Distribution |
---|---|---|
- | res | ||||||||
---|---|---|---|---|---|---|---|---|---|
1 | 0.1 | 0.1 | 0 | crisp | 1 | 0.1 | 0.1 | 0 | 0.1 |
2 | 0.1 | 0.3 | 0.2 | unce | 2 | 0.1 | 0.3 | 0.2 | 0.2 |
3 | 0.2 | 0.4 | 0.2 | unce | 3 | 0.2 | 0.4 | 0.2 | 0.3 |
4 | - | - | - | unkn | 4 | 0.2 | 0.2 | ||
5 | - | - | - | unkn | 5 | 0.2 | 0.2 | ||
- | - | - | - | ||||||
- | - | - | - | - | - | ||||
- | - | - | - | - | - |
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Villecco, F.; Pellegrino, A. Evaluation of Uncertainties in the Design Process of Complex Mechanical Systems. Entropy 2017, 19, 475. https://doi.org/10.3390/e19090475
Villecco F, Pellegrino A. Evaluation of Uncertainties in the Design Process of Complex Mechanical Systems. Entropy. 2017; 19(9):475. https://doi.org/10.3390/e19090475
Chicago/Turabian StyleVillecco, Francesco, and Arcangelo Pellegrino. 2017. "Evaluation of Uncertainties in the Design Process of Complex Mechanical Systems" Entropy 19, no. 9: 475. https://doi.org/10.3390/e19090475