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Potential nondominance in multi-criteria decision analysis

International Journal of Information Technology and Decision Making. 2024. Vol. 23. No. 3. P. 1401–1422.
Podinovskiy V. V., Nelyubin A.

In this paper, we consider multi-criteria decision-making problems of selecting the best decision alternative in which the preferences of the decision maker are given in the form of quasi-orders. If the decision maker’s preferences are modeled by a family of complete quasi-orders (in particular, by a parametric family of additive value functions) then a common approach to solving such problems is based on the notion of potential optimality. In this paper, we consider the case in which the decision maker’s preferences are modeled by a family of incomplete quasi-orders. We suggest a new approach to selecting decision alternatives by introducing the notion of potential nondominated alternatives. Such alternatives can be regarded as candidates for the best alternative. We investigate properties of the sets of potential nondominated alternatives and, for the case of a parametric family of partial quasi-orders, we develop a method of their identification. Our development is illustrated by numerical examples.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: анализ решенийDecision analysisпотенциальная оптимальностьнедоминируемостьpotential optimalitypreference relationsотношения предпочтенияnondominance
Publication based on the results of:
Models of data analysis and decision making in the socio-economic sphere (2024)
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