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A new uncertain dominance and its properties in the framework of uncertainty theory

Theoretical analysis and empirical study results all show that there are situations in reality where observed data are not random variables. Thus, decision-making criteria based on probability theory are not suitable for people to make decisions. This paper proposes an uncertain dominance based on u...

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Detalles Bibliográficos
Autores principales: Huang, Xiaoxia, Sun, Yutong, Hong, Kwon Ryong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9807107/
http://dx.doi.org/10.1007/s10700-022-09405-z
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author Huang, Xiaoxia
Sun, Yutong
Hong, Kwon Ryong
author_facet Huang, Xiaoxia
Sun, Yutong
Hong, Kwon Ryong
author_sort Huang, Xiaoxia
collection PubMed
description Theoretical analysis and empirical study results all show that there are situations in reality where observed data are not random variables. Thus, decision-making criteria based on probability theory are not suitable for people to make decisions. This paper proposes an uncertain dominance based on uncertainty theory to offer an alternative decision-making criterion for such situations. The paper first defines a new criterion of first- and second-order uncertain dominance, then proves some necessary conditions of them based on uncertainty theory. Some sufficient and necessary conditions of the first- and second-order uncertain dominance are given when uncertain variables are all normal or linear uncertain variables. In addition, the paper proves the link between the uncertain dominance criterion and the expected utility criterion and shows that the first-order uncertain dominance is suitable for all people to make decisions and the second-order uncertain dominance is suitable for risk-averse people to make decisions.
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spelling pubmed-98071072023-01-04 A new uncertain dominance and its properties in the framework of uncertainty theory Huang, Xiaoxia Sun, Yutong Hong, Kwon Ryong Fuzzy Optim Decis Making Article Theoretical analysis and empirical study results all show that there are situations in reality where observed data are not random variables. Thus, decision-making criteria based on probability theory are not suitable for people to make decisions. This paper proposes an uncertain dominance based on uncertainty theory to offer an alternative decision-making criterion for such situations. The paper first defines a new criterion of first- and second-order uncertain dominance, then proves some necessary conditions of them based on uncertainty theory. Some sufficient and necessary conditions of the first- and second-order uncertain dominance are given when uncertain variables are all normal or linear uncertain variables. In addition, the paper proves the link between the uncertain dominance criterion and the expected utility criterion and shows that the first-order uncertain dominance is suitable for all people to make decisions and the second-order uncertain dominance is suitable for risk-averse people to make decisions. Springer US 2023-01-02 /pmc/articles/PMC9807107/ http://dx.doi.org/10.1007/s10700-022-09405-z Text en © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Huang, Xiaoxia
Sun, Yutong
Hong, Kwon Ryong
A new uncertain dominance and its properties in the framework of uncertainty theory
title A new uncertain dominance and its properties in the framework of uncertainty theory
title_full A new uncertain dominance and its properties in the framework of uncertainty theory
title_fullStr A new uncertain dominance and its properties in the framework of uncertainty theory
title_full_unstemmed A new uncertain dominance and its properties in the framework of uncertainty theory
title_short A new uncertain dominance and its properties in the framework of uncertainty theory
title_sort new uncertain dominance and its properties in the framework of uncertainty theory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9807107/
http://dx.doi.org/10.1007/s10700-022-09405-z
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