https://popups.uliege.be/3041-539x/index.php?id=1959 Index terms fr 0 https://popups.uliege.be/3041-539x/index.php?id=4650 Controversy over the Bayesian approach has diminished and one can't but admire the elegance of the definition of subjective probability. But it is still a hard sell in practice. This is a fact gathered through engineering experience. When the effect of the prior washes off quickly, the issue is irrelevant and one enjoys the probabilistic updating algorithm. When there is little data, one seriously questions the validity of the Bayesian approach. Very little has been achieved in developing means to support the existence of a prior, assess it and calibrate the person providing the opinion. We review the theory and show a case in bridge maintenance where the likelihood of the expert can be assessed. We state the reason for its inapplicability, take a step back to the days of Kolmogorov and reflect on Bayesian theory. Mon, 14 Oct 2024 15:48:06 +0200 Mon, 14 Oct 2024 15:48:15 +0200 https://popups.uliege.be/3041-539x/index.php?id=4650 https://popups.uliege.be/3041-539x/index.php?id=3357 This paper would like revaluing Albert Einstein's famous sentence : God does not play dice with the Universe, in quantum mechanics by unification of measure and probability concepts in a complete Boolean representation of quantum mechanics. Mon, 16 Sep 2024 10:41:04 +0200 Thu, 10 Oct 2024 10:33:45 +0200 https://popups.uliege.be/3041-539x/index.php?id=3357 https://popups.uliege.be/3041-539x/index.php?id=3592 The present paper includes a survey of notions in probability theory, carried over to the ground of the theory of bifuzzy sets. At the same time, it shows a possible combination of randomness and bifuzziness and signals other relationships of both the theories. Thu, 26 Sep 2024 10:10:48 +0200 Thu, 26 Sep 2024 10:11:05 +0200 https://popups.uliege.be/3041-539x/index.php?id=3592 https://popups.uliege.be/3041-539x/index.php?id=2895 While the notion of chance may have been inherent in us from the beginning of the thinking age, it is a gambler's dispute in the 17th century that led to the creation by two famous French mathematicians of one of the most powerful mathematical theories, the theory of probability. It has since helped solve countless problems. In engineering, it is not the existence of uncertainty that is disputed, but how to deal with it. Probabilistic thinking becomes cumbersome when too many sources of variability exist. Engineers and physicists resort to "Black Box" models using data algorithmic approaches. Such is the case in some classification problems brought out by pattern recognition. We look at a character recognition problem, and present a probabilistic solution that is simple and easy to implement. Tue, 03 Sep 2024 15:44:26 +0200 Tue, 03 Sep 2024 15:44:35 +0200 https://popups.uliege.be/3041-539x/index.php?id=2895 https://popups.uliege.be/3041-539x/index.php?id=1957 This article contains an original approach to the maintenance of objects metrological quality on an example of the measurements accuracy maintenance and assurance. The approach throws down a challenge to the usual practice of "classical" distribution laws application, using of which results in a methodical error, that frequently prevents to provide the metrological characteristics required. It is based on the probabilistic estimation of the parameters of random variables measurements with discrete and continuous "nature" providing information on the object under research. Proposed GANCO law generalizes some well-known laws of random variables distribution and uses analytical open models and simulation models which allow an adaptation to various objects with the purpose of the given metrological accuracy maintenance. Wed, 17 Jul 2024 15:41:55 +0200 Wed, 17 Jul 2024 15:42:02 +0200 https://popups.uliege.be/3041-539x/index.php?id=1957