DOI: https://doi.org/10.31493/uwt1909.1201

On creation of the universal mathematical management decision making theory

Victoria Kondratenko

Анотація


A variety of approaches to the construction of theories of managerial decisionmaking causes great difficulties in constructing formal models of the dynamic processes under study, which necessitates the creation of a unified universal mathematical theory of managerial decision-making. The model of managerial decision making for dynamic systems of any nature proposed by the author uses the axiomatic modeling methodology created earlier, combining the axiomatic method and the concept of functional analysis in modeling and solving problems - one of the extremely effective tools for cognizing patterns in natural processes.  The aim of this work is to demonstrate the simplicity and capabilities of the proposed methodology for making managerial decisions on a specific example in the field of medicine. The truth (correctness, expediency) of making a managerial decision is proved by the exact mathematical method, which assumes a formal proof that does not depend on the will of a particular person. This circumstance, as well as the universality of the model, determines the relevance and originality of the proposed approach to solving managerial problems. The formal proof of the truth of the obtained solution by the Robinson method and the use of the author’s universal stereotypical logical construction for proving theorems is the key to the maximum degree of confidence in the obtained solution. Despite the verbal format for formulating axioms, the solution obtained is not approximate, not probabilistic, but mathematically accurate, which is extremely important for the practical application of mathematical theory. The format under consideration for formulating basic axioms and theorems   
requiring proof is convenient for human perception and reasoning. It is easily applicable in solving problems in any field of human activity by specialists of the most diverse subject areas of human activity. The prospectivity and cost-effectiveness of the proposed approach is especially relevant in solving extremely complex practical problems.

Ключові слова


axiomatic modeling; artificial intelligence; mathematical logic; thinking; formalization

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Посилання


Lyalkina G.B., 2012. Mathematical foundations of decision theory. Ed. V.A. Trefilova. Guidance. Perm, Perm Publishing House. Polytechnic University, 118 (in Russian).

Kondratenko V.A., 2014. A living matter in an image of formal models (From physiological heredity to intelligence with its assets). The collection of articles of the author, Kiev, Scientific publication of LLC, Yunik Print, 186 (in Russian).

Kondratenko V.A., 2010. Creation of a uniform stereotype of a logical design of thinking for the substantial and formal proof of theorems. Kiev Scientific publication of Alephof, 267 (in Russian).

Anokhin P.K., 1998. Chosen works. Cybernetics of functional systems. Moscow, Medicine, 400 (in Russian).

Agadzhanyan N.A. Tel L.Z., Tsirkin V.I., Chesnokova S.A., 2003. Human physiology. (The textbook for medical higher education institutions), under the editorship of the academician of the Russian Academy of Medical Science Agadzhanyan and professor N.A. Tsirkin, the Medical book, N. Novgorod, NGMA Publishing house, 408 (in Russian).

Kondratenko V.A., 2016. Creation of formal model of standard dialectic logic of automatic control of the a human body anatomic functional systems. The 5th International scientific and technical conference Information Systems and Technologies Kharkiv-Koblevo IST-2016 (on September 12-17, 2016), 8-9 (in Russian).

Kondratenko V.A., 2016. Dialectic logic of management of the autonomic nervous system of the person. Computer mathematic, No.1, 125-133 (in Russian).

Kondratenko V.A., 2017. Artificial intelligence. A plan and realities of the current time against the background of natural intelligence of the person. Kiev, Scientific publication Zadruga, 84 (in Russian).

Kondratenko V.A., 2015. Paradoxes of science of the twentieth century. The twenty first century – dialectic logic against mysticism, Kyiv, Scientific publication Zadruga, 200 (in Russian).

Kondratenko V.A., 2016. Mathematical models of physiological processes of metabolism, reflex and intellectual activity head vegetable pulp of the person. Kiev, Scientific publication Zadruga, 128 (in Russian).

Kondratenko V.A., 2018. Formal logicaldialectical models of higher mental functions of a person, as the basis of creative scientific thinking. X International Symposium “Actual Problems of Biophysical Medicine”, Kyiv Material of the International Symposium 16-18 May 2018, 30 (in Russian).

Chen Ch., Li R., 1983. Symbolic Logic and Mechanical Theorem Proving. Chapter 5. Method of resolutions, Mathematical logic and automatic proof of theorem. Academic Press, Moscow, Science, 358 (in Russian).

Guts A.K. Chapter, 2003. Method of resolutions, Mathematical logic and theory of algorithms. Omsk, Heritage. Dialogue Siberia, 108 (in Russian).

Nilsson N.J., 1982. Principles of artificial intelligence. Springer-Verlag Berlin Heidelberg, 476.

Mendelssohn E., 1984. Introduction to mathematical logic, Moscow, Nauka, 320 (in Russian).

Russell S., Norvig P., 2009. Artificial intelligence: a modern approach, 3rd ed. Prentice Hall, 1152.

Turing A., 1950. Computing Machinery and Intelligence. Mind, Vol. 59, No.236, 433-460.

Vladislav Bogdanov, 2017. Impact of a hard cylinder with flat surface on the elastic layer. Underwater Technologies, Vol.05, 8-15.

Kondratenko VA, 2011. Quantum physics without the geometrization of physical models of the universe, a priori free of hypothetical and incorrect formalisms. Kiev: Scientific publication "Aleph", 107 (in Russian).

Petro Kulikov, Mykhailo Sukach, 2015. About readiness of Ukraine to mastering minerals of world ocean. Underwater Technologies, Vol.02, 3-10 (in Russian).

Nikolay Zhuk, Myron Nazarian, Yury Stelmakhov, 2015. Great Silk Road: modern problems of reconstruction. Underwater Technologies, Vol.01, 59-64 (in Russian).

Andrey Tevyashev, 2018. Information and analytical technology for optimal management of sustainable development and functioning of water supply systems. New horizon of underwater explorations. Underwater Technologies, Vol. 08, 47-49 (in Russian).

Kobylyanu G.N., Grischenkov E.N., Kuznetsov V.I., Mansur T.I., 2017. Emergency cardiological care in general medical practice: a training manual. RUDN, 77 (in Russian).




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ISSN: 2415-8569 (print), ISSN: 2415-8569 (online)