A BASIC EXAMPLE OF THE MATHEMATICAL LOGICS INTERPRETATIONS TO THE TRIBOLOGICAL PROCESSES CHARACTERISTICS REVEALING
Journal Title: Проблеми тертя та зношування - Year 2018, Vol 81, Issue
Abstract
It is made an attempt to propose some appropriate adaptation of the mathematical logics apparatus to the determination of the group of tribological processes and the category of effects observed when there are the friction and wear processes that could happen in the considered structural elements of the engineering units being under investigation. The circumstances at which there is the group of the tribologi-cal processes and there is the category of the effects observed are not deemed to be identified undoubtedly in the conditions of the experiments conducted or the per-formed observations. In some situations a definite answer can be given to the ques-tions put about the combinations of the processes and the effects that are happen-ing. This is possible in conditions of uncertainty in regards with an additional por-tion of a defining piece of the information obtained and the mathematical logics rules implementation. In the considered and presented in the given paper simplified example the additional portion of the defining piece of the obtained information is that each of the three mentioned in the example problem setting statements includes either correct identification of the process related or the effect observed. Also it is supposed to be known for sure that there was just one of the mentioned processes and effects happened, i.e. there was the only phenomenon, which was with the only one process of the three investigated and the process could be combined into the phenomenon with the only of the observed effects. In terms of the algebra of logics it means, for the taken into account statements transformed into the view of the ex-pressions of the mathematical logics, the existence of the sought definite answer and the presence of the only combination of the process and the effect. The ap-proach has a significance of a powerful tool for the phenomena identification.
Authors and Affiliations
A. V. GONCHARENKO
Keywords
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