Publication: Mathematical Methods for Solving Cognitive Problems in Medical Diagnosis
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2021
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© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.Complex system exploring at initial stage includes fixation of basic data blocks, problem categories, and other. At this stage, an adequate description uses gestalt-like patterns for the future system, its components and their functioning. In the structure of such system, functional and logical relationships can be found between the components or processes. Such a complex system is a living organism (for example, a patient). A skilled patient-treating physician can discover functional and logical associations between the components or processes in the studied system. In some difficult cases, doctors cannot explain their decisions and actions. They might use it practically, but cannot formulate verbally. For these cases, mathematician I.M. Gelfand has proposed a method of diagnostic games. The game is a cognitive research to reveal the doctor’s intuitive action plan for specific case of the patient’s treatment. Working together, the mathematician and physician can formulate a verbal case description. The objective of this study is to extract strict formalized elements from the doctor’s gestalt perception: the rules of diagnostic decision. In order to analyze the intuitive actions of the specialists, the authors propose a mathematical language and technologies based on non-numerical statistics and three-valued logic. The language helps us detect and solve such cognitive problems. The collaboration with doctors allows us to create clear diagnostic rules based on the latent knowledge of an experienced specialist. The article provides a brief description of the method used for solving the problems of practical medicine.
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Kotov, Y. Mathematical Methods for Solving Cognitive Problems in Medical Diagnosis / Kotov, Y., Semenova, T. // Advances in Intelligent Systems and Computing. - 2021. - 1310. - P. 453-465. - 10.1007/978-3-030-65596-9_54