Selecting a Single Result from an Aggregate of Contradictory Alternatives with Use of Multiset Theory
- Авторлар: Litovka Y.1, Nesterov V.2, Solovjev D.1,3, Solovjeva I.1, Sypalo K.4
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Мекемелер:
- Tambov State Technical University
- Moscow Aviation Institute (National Research University)
- Derzhavin Tambov State University
- Zhukovsky Central Aerohydrodynamic Institute (TsAGI)
- Шығарылым: Том 58, № 6 (2019)
- Беттер: 915-921
- Бөлім: Systems Analysis and Operations Research
- URL: https://journals.rcsi.science/1064-2307/article/view/220539
- DOI: https://doi.org/10.1134/S1064230719060121
- ID: 220539
Дәйексөз келтіру
Аннотация
We consider basic approaches to decision-making using computer systems. Ambiguous results in decision-making are obtained through the use of different methods for source-data processing. In order to obtain a single result from an aggregate of such decisions, it is suggested to apply the principle of selecting the decision that is most proposed by John von Neumann to increase the reliability of computers. Based on multiset theory, we develop a mathematical model of selecting a single result from an aggregate of alternatives obtained using different methods of decision-making. In this model, a decision is selected based on computing the argument of maximizing the multiplicity functions of elements for the arithmetic sum of multisets of the obtained decisions. The peculiarities of applying this approach are considered and methods of adjusting the source data for obtaining a single result are proposed. By the example of selecting a metal for electroplating products we present the results (of the decisions taken) obtained by a group of experts using the described approach. Recommendations for improving the efficiency of the proposed approach are presented.
Авторлар туралы
Yu. Litovka
Tambov State Technical University
Хат алмасуға жауапты Автор.
Email: polychem@list.ru
Ресей, Tambov, 392000
V. Nesterov
Moscow Aviation Institute (National Research University)
Email: polychem@list.ru
Ресей, Moscow, 125993
D. Solovjev
Tambov State Technical University; Derzhavin Tambov State University
Email: polychem@list.ru
Ресей, Tambov, 392000; Tambov, 392036
I. Solovjeva
Tambov State Technical University
Email: polychem@list.ru
Ресей, Tambov, 392000
K. Sypalo
Zhukovsky Central Aerohydrodynamic Institute (TsAGI)
Email: polychem@list.ru
Ресей, Zhukovski, 117198