Main directions of the application of the mathematical methods in medical diagnosis are analyzed, their drawbacks are evaluated , principles of diagnosis, based on fuzzy logic are formulated. Mathematical models and algorithms, formalizing the process of diagnostic decisions making on the base of fuzzy logic at quantitative and qualitative parameters of the patient state are developed; mathematical models of the membership functions, formalizing the presentation of quantitative and qualitative parameters of the patients state in the form of the fuzzy sets, used in the models and algorithms of diagnosis and determining the diagnosis in case of diabetic ketoacidosis are developed. Aim of the study is realization of the computer-based expert system for the solution of the problems, dealing with medical diagnosis on the base of fuzzy logic in case of Diabetic Ketoacidosis
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