Verbal mixed method of fuzzy evaluation in decision-making
DOI:
https://doi.org/10.15587/1729-4061.2014.20077Keywords:
verbal analysis, decision-making, utility function, fuzzy evaluation, compliance scalesAbstract
The problems of decision-making under uncertainty are considered in the paper. Uncertainties are an integral part of decision-making processes in almost all organizational and technical systems. It is the practice to divide decision-making problems into well-structured, semi-structured and unstructured ones. The latter are the subject of the study in this paper. The methodology of a verbal decision analysis is regarded as the basis for unstructured decision-making problems.
In combination with the known scientific approach in the decision theory MAUT (Multi-Attribute Utility Theory), the basis for implementing the verbal approach to decision-making serves the construction of a utility function, being axiomatically justified and providing a decision rule for any hypothetical alternatives.
For decision-making, the mixed fuzzy evaluation method, which allows in contrast to the known methods avoiding a time-consuming procedure of pair-wise comparison of alternatives, is proposed in the paper. Since the method is based on a verbal analysis, it allows "communicating" in a natural language with an intelligent decision-making support system.
References
- Моисеев, Н. Н Предисловие к книге С. А. Орловского Проблемы принятия решений при нечёткой исходной информации / Моисеев Н. Н. // М.: Наука, 1981. – 208 с.
- Белкин, А. Р. Принятие решений: комбинаторные модели аппроксимации информации [Текст] / А. Р. Белкин, М. Ш. Левин // М.: Наука. 1990 – 160 с.
- Трахтенгерц, Э. А. Компьютерная поддержка решений [Текст] / Э. А. Трахтенгерц //Серия «Информатизация России на пороге ХХI века – М.: Синтег, 1988 – 376 с.
- Кун, Т. Структура научных революций [Текст] / Т. Кун // М.: Прогресс. – 300 с.
- Бодров, В. И. Математические методы принятия решений / В. И. Бодров // Таганрог. ТГТУ. 2004. – 124 с.
- Горюнов, Ю. Ю. Теория и методы принятия решений [Текст] / Горюнов Ю. Ю. // Ростов: РГУИТП. – 50 с.
- Эддоус, М. Методы принятия решений [Текст] / М. Эддоус // М.: Изд. Аудит, ЮНИТИ.
- Книги, Р. Л. Райфа Х. Принятие решений при многих критериях: предпочтения и замещения [Текст] / Р. Л. Книги, Х. Райфа // М.: Радио и связь, 1981. – 560 с.
- Ларичев, О. И. Вербальный анализ решений [Текст] / О. И. Ларичев // М.: Наука.
- Кулинич, А. А. Метод поддержки генерации структурных решений для управления в слабоструктуризированных ситуациях [Текст] / А. А. Кулинич // КИИ – 2004: Труды конференции. В 3-х т. Т.Ч.- М.: Физматлит, 2004.- С. 842 – 852 с.
- Ларичев, О. И. Объективные модели и субъективные решения [Текст] / О. И. Ларичев // М: Наука, 1987.
- Андреева, Г.М. Социальная психология – М.: Изд. [Текст] / Г.М. Андреева // Аспект Пресс. 2001. – 384 с.
- Ларичев, О. И. Теория и методы принятия решений, а также хроника событий в волшебных странах [Текст] / О. И. Ларичев // М.: Логос, 2002. – 392 с.
- Ларичев, О. И. Качественные методы принятия решения / О. И. Ларичев, Е. М. Мошкович // М.: Наука. Физматгит, 1996. - 208 с.
- Moiseev, N. (1981). Foreword to the book, S. A. Orlovsky Decision making in fuzzy source of information. Moscow Nauka, 208.
- Belkin, A., Levine, M. (1990). Decision-making: the combinatorial model approximation Information. Moscow : Nauka, 160.
- Trahtengerts, E. (1988). Computer support solutions. Series “Informatization of Russia on the eve of the twenty-first century M. SINTEG, 376.
- Kuhn, T. (1977). The Structure of Scientific Revolutions. Moscow: Progress Publishers, 300.
- Bodrov, V. (2004). Mathematical methods of decision-making. Taganrog. TGTU, 124.
- Gorunov, Y. (2009). Theory and methods of decision. ITBU, 50. 7. Eddous, M. (1997). Decision-making, 590.
- Rife, H. (1981). Decision-making multi-criteria: preferences and substitution. Radio and communication, 560.
- Larichev, O. (2006). Verbal decision analysis. Moscow, Nauka, 181.
- Kylinich, A (2004). Method to support the generation of structural solutions to manage in poorly structured situations. M. FIZMATLIT, 842 – 852.
- Larichev, O. I. (1987). Ob’ektivnye modeli i sub;ektivnye reshenija. Nauka.
- Larichev, O. (1987). Objective and subjective models of solutions. Moscow 12. Nauka Social psychology. Aspect Press, 384.
- Larichev, O. (2002). Theory and methods of decision - making, as well as a chronicle of events in the magical world. Moscow. Logos, 392.
- Larichev, O., Moshkovich, E. (1996). Qualitative methods of decision making. Moscow Nauka. Fizmatgit, 208.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Александр Африканович Стенин, Михаил Мартынович Ткач, Андрей Николаевич Губский, Валерий Валериевич Курбанов
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
