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- Title
A new uncertain dominance and its properties in the framework of uncertainty theory.
- Authors
Huang, Xiaoxia; Sun, Yutong; Hong, Kwon Ryong
- Abstract
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.
- Subjects
SOCIAL dominance; EXPECTED utility; PROBABILITY theory; STOCHASTIC dominance; RANDOM variables; FUZZY sets; DECISION making
- Publication
Fuzzy Optimization & Decision Making, 2023, Vol 22, Issue 4, p631
- ISSN
1568-4539
- Publication type
Article
- DOI
10.1007/s10700-022-09405-z