A model of constant probability event is constructed rigorously in event space of PSCEA. It is showed that the numericalbased fusion and the algebraicbased fusion have a consistent result when the weight is regarded a...A model of constant probability event is constructed rigorously in event space of PSCEA. It is showed that the numericalbased fusion and the algebraicbased fusion have a consistent result when the weight is regarded as a constant probability event. From the point of view of algebra, we present a novel similarity measure in product space. Based on the similarity degree, we use a similarity aggregation method to fusion experts' evaluation. We also give a numerical example to illustrate the method.展开更多
The CODATA procedure for calculating the recommended relative uncertainty of the measured fundamental physical constants is complex and is based on the use of powerful computers and modern mathematical statistical met...The CODATA procedure for calculating the recommended relative uncertainty of the measured fundamental physical constants is complex and is based on the use of powerful computers and modern mathematical statistical methods. In addition, the expert’s opinion caused by accumulated knowledge, life experience and intuition of researchers is applied at each stage of the calculations. In this article, the author continues to advocate a theoretically grounded information method as the most effective tool for testing and achieving the minimum possible relative uncertainty for any measurements of experimental physics and engineering. The introduced fundamental limit characterizing discrepancy between a model and the observed object cannot be overcome by any improvement of instruments, methods of measurement and the model’s computerization. Examples are given.展开更多
In this paper, we aim to verify the numerical magnitude of the relative uncertainty in the measurement of fundamental physical constants. For this purpose, we use a metric called comparative uncertainty with which an ...In this paper, we aim to verify the numerical magnitude of the relative uncertainty in the measurement of fundamental physical constants. For this purpose, we use a metric called comparative uncertainty with which an a priori mismatch between the selected model and the observed physical object is checked. The comparative uncertainty is caused by the finite number of dimensional variables of the applied model. We show a comparison of the achieved values of the relative and comparative uncertainties of the gravitational constant, Planck’s constant, Boltzmann’s constant, and fine structure constant, according to data published in the scientific literature over the last 7 - 15 years. The results generally agree well with CODATA recommendations. We show that the comparative uncertainty as a universal metric can be used for the identification of recommended target values of the relative uncertainty in the field experiments.展开更多
文摘A model of constant probability event is constructed rigorously in event space of PSCEA. It is showed that the numericalbased fusion and the algebraicbased fusion have a consistent result when the weight is regarded as a constant probability event. From the point of view of algebra, we present a novel similarity measure in product space. Based on the similarity degree, we use a similarity aggregation method to fusion experts' evaluation. We also give a numerical example to illustrate the method.
文摘The CODATA procedure for calculating the recommended relative uncertainty of the measured fundamental physical constants is complex and is based on the use of powerful computers and modern mathematical statistical methods. In addition, the expert’s opinion caused by accumulated knowledge, life experience and intuition of researchers is applied at each stage of the calculations. In this article, the author continues to advocate a theoretically grounded information method as the most effective tool for testing and achieving the minimum possible relative uncertainty for any measurements of experimental physics and engineering. The introduced fundamental limit characterizing discrepancy between a model and the observed object cannot be overcome by any improvement of instruments, methods of measurement and the model’s computerization. Examples are given.
文摘In this paper, we aim to verify the numerical magnitude of the relative uncertainty in the measurement of fundamental physical constants. For this purpose, we use a metric called comparative uncertainty with which an a priori mismatch between the selected model and the observed physical object is checked. The comparative uncertainty is caused by the finite number of dimensional variables of the applied model. We show a comparison of the achieved values of the relative and comparative uncertainties of the gravitational constant, Planck’s constant, Boltzmann’s constant, and fine structure constant, according to data published in the scientific literature over the last 7 - 15 years. The results generally agree well with CODATA recommendations. We show that the comparative uncertainty as a universal metric can be used for the identification of recommended target values of the relative uncertainty in the field experiments.
