Method of convolution in multicriteria problems with uncertainty
- Authors: Novikova N.M.1, Pospelova I.I.2, Zenyukov A.I.2
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Affiliations:
- Federal Research Center Computer Science and Control
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 56, No 5 (2017)
- Pages: 774-795
- Section: Systems Analysis and Operations Research
- URL: https://journals.rcsi.science/1064-2307/article/view/219966
- DOI: https://doi.org/10.1134/S1064230717050082
- ID: 219966
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Abstract
The problem of optimizing complex systems under incomplete information when there are several criteria for the system’s efficiency (optimization goals) is considered. The properties of different types of the convolution of these criteria, as well as the method of successive concessions for formalizing the concept of the solution of multicriteria (MC) problems with uncertainty, are analyzed. We show that there is a difference between the solutions obtained with different convolutions and method modifications. The advantages of the inverse logical convolution are demonstrated.
About the authors
N. M. Novikova
Federal Research Center Computer Science and Control
Email: ipospelova05@yandex.ru
Russian Federation, Moscow, 119333
I. I. Pospelova
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: ipospelova05@yandex.ru
Russian Federation, Moscow, 119991
A. I. Zenyukov
Faculty of Computational Mathematics and Cybernetics
Email: ipospelova05@yandex.ru
Russian Federation, Moscow, 119991