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Avtomat. i Telemekh., 2019, Issue 7, Pages 142–154 (Mi at15117)  

Optimization, System Analysis, and Operations Research

Analysis of the sensitivity of solutions of multi-criteria problems based on parametric partial preference relations

V. V. Podinovskia, M. A. Potapovb

a National Research University Higher School of Economics, Moscow, Russia
b Institute of Computer-Aided Design, Russian Academy of Sciences, Moscow, Russia

Abstract: We give a survey of approaches for analyzing the sensitivity of non-dominated alternatives to changes in the parameters of partial quasi-orderings that define preferences. Such parameters can include values of importance coefficients for different criteria or boundaries of interval estimates of the degrees of superiority in the importance of some criteria over others, boundaries of intervals of criteria value tradeoffs uncertainty and others.

Keywords: multi-criteria decision making problems, partial quasi-orders, sensitivity analysis, criteria importance theory.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This research was conducted with state support of the leading universities of the Russian Federation “5-100” and the State Research Program of the Institute of Computer-Aided Design of the RAS. The authors are grateful to the referee for useful comments that have helped improve the presentation of this work.


DOI: https://doi.org/10.1134/S0005231019070079

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English version:
Automation and Remote Control, 2019, 80:7, 1294–1303

Bibliographic databases:

Presented by the member of Editorial Board: Е. Я. Рубинович

Received: 12.08.2018
Revised: 12.12.2018
Accepted: 07.02.2019

Citation: V. V. Podinovski, M. A. Potapov, “Analysis of the sensitivity of solutions of multi-criteria problems based on parametric partial preference relations”, Avtomat. i Telemekh., 2019, no. 7, 142–154; Autom. Remote Control, 80:7 (2019), 1294–1303

Citation in format AMSBIB
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