A method of formalizing the making decision process based on the theory of threshold elements
The conceptual principles and the theoretical substantiation of the peculiarities of the threshold elements mathematical apparatus application for the making decision of complex classification problems are formulated. This makes it possible to significantly simplify the procedure for formalizing the...
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| Дата: | 2018 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Ukrainian |
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Інститут проблем реєстрації інформації НАН України
2018
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| Онлайн доступ: | http://drsp.ipri.kiev.ua/article/view/158519 |
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| Назва журналу: | Data Recording, Storage & Processing |
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Data Recording, Storage & Processing| id |
drspiprikievua-article-158519 |
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drspiprikievua-article-1585192019-12-27T02:26:51Z A method of formalizing the making decision process based on the theory of threshold elements Метод формалізації процесу прийняття рішення на базі теорії порогових елементів Azarova, A. O. Roik, A. M. Poplavskiy, A. V. Pavlovskiy, P. V. Tkachuk, A. P. making decision decision support system formalization of the process mathematical method and threshold elements прийняття рішення система підтримки прийняття рішення формалізація процесу математичний метод порогові елементи The conceptual principles and the theoretical substantiation of the peculiarities of the threshold elements mathematical apparatus application for the making decision of complex classification problems are formulated. This makes it possible to significantly simplify the procedure for formalizing the DSS for objects with quantitative evaluation parameters.The method of formalizing the making decision process based on the theory of threshold elements for objects with quantitative evaluation parameters is suggested, which, unlike existing approaches, in particular the method of linear weighted sums, allows us to substantiate weighting of estimating parame-ters. This allows for making decision of a clear and one-valued solution provided that the combinations of valuation parameters are incompletely checked.The process of constructing the logical function of choice is formalized and the algorithm of the transition from the logical selection function to the threshold function is proposed. Construction of the logical choice function requires the definition of its minimum disjunctive normal form. This led to the need to find the number of simple implicants that should have this form of function. Such a process was identified by proving the authors of the corresponding theorem.A corresponding approach to the making classification decision, when functionally meaningless elements that are theoretically possible to be ignored can’t be taken into account, and threshold selection functions will not ensure the attribution of an element to any class is formulated.The algorithm of making decision in the process of application of the method described above is produced. The peculiarities of such an algorithm are that it is clearly and cardinally described and quite simply implemented with the use of modern computer technology. Проведено дослідження та обґрунтовано можливість використання теорії порогових елементів для формалізації процесу прийняття складних неструктурованих рішень, а також розроблено відповідний метод класифікації різних об’єктів на основі математичного апарату порогових елементів. Інститут проблем реєстрації інформації НАН України 2018-09-18 Article Article application/pdf http://drsp.ipri.kiev.ua/article/view/158519 10.35681/1560-9189.2018.20.3.158519 Data Recording, Storage & Processing; Vol. 20 No. 3 (2018); 112–120 Регистрация, хранение и обработка данных; Том 20 № 3 (2018); 112–120 Реєстрація, зберігання і обробка даних; Том 20 № 3 (2018); 112–120 1560-9189 uk http://drsp.ipri.kiev.ua/article/view/158519/157874 Авторське право (c) 2021 Реєстрація, зберігання і обробка даних |
| institution |
Data Recording, Storage & Processing |
| collection |
OJS |
| language |
Ukrainian |
| topic |
making decision decision support system formalization of the process mathematical method and threshold elements прийняття рішення система підтримки прийняття рішення формалізація процесу математичний метод порогові елементи |
| spellingShingle |
making decision decision support system formalization of the process mathematical method and threshold elements прийняття рішення система підтримки прийняття рішення формалізація процесу математичний метод порогові елементи Azarova, A. O. Roik, A. M. Poplavskiy, A. V. Pavlovskiy, P. V. Tkachuk, A. P. A method of formalizing the making decision process based on the theory of threshold elements |
| topic_facet |
making decision decision support system formalization of the process mathematical method and threshold elements прийняття рішення система підтримки прийняття рішення формалізація процесу математичний метод порогові елементи |
| format |
Article |
| author |
Azarova, A. O. Roik, A. M. Poplavskiy, A. V. Pavlovskiy, P. V. Tkachuk, A. P. |
| author_facet |
Azarova, A. O. Roik, A. M. Poplavskiy, A. V. Pavlovskiy, P. V. Tkachuk, A. P. |
| author_sort |
Azarova, A. O. |
| title |
A method of formalizing the making decision process based on the theory of threshold elements |
| title_short |
A method of formalizing the making decision process based on the theory of threshold elements |
| title_full |
A method of formalizing the making decision process based on the theory of threshold elements |
| title_fullStr |
A method of formalizing the making decision process based on the theory of threshold elements |
| title_full_unstemmed |
A method of formalizing the making decision process based on the theory of threshold elements |
| title_sort |
method of formalizing the making decision process based on the theory of threshold elements |
| title_alt |
Метод формалізації процесу прийняття рішення на базі теорії порогових елементів |
| description |
The conceptual principles and the theoretical substantiation of the peculiarities of the threshold elements mathematical apparatus application for the making decision of complex classification problems are formulated. This makes it possible to significantly simplify the procedure for formalizing the DSS for objects with quantitative evaluation parameters.The method of formalizing the making decision process based on the theory of threshold elements for objects with quantitative evaluation parameters is suggested, which, unlike existing approaches, in particular the method of linear weighted sums, allows us to substantiate weighting of estimating parame-ters. This allows for making decision of a clear and one-valued solution provided that the combinations of valuation parameters are incompletely checked.The process of constructing the logical function of choice is formalized and the algorithm of the transition from the logical selection function to the threshold function is proposed. Construction of the logical choice function requires the definition of its minimum disjunctive normal form. This led to the need to find the number of simple implicants that should have this form of function. Such a process was identified by proving the authors of the corresponding theorem.A corresponding approach to the making classification decision, when functionally meaningless elements that are theoretically possible to be ignored can’t be taken into account, and threshold selection functions will not ensure the attribution of an element to any class is formulated.The algorithm of making decision in the process of application of the method described above is produced. The peculiarities of such an algorithm are that it is clearly and cardinally described and quite simply implemented with the use of modern computer technology. |
| publisher |
Інститут проблем реєстрації інформації НАН України |
| publishDate |
2018 |
| url |
http://drsp.ipri.kiev.ua/article/view/158519 |
| work_keys_str_mv |
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| first_indexed |
2024-04-21T19:33:59Z |
| last_indexed |
2024-04-21T19:33:59Z |
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