Original scientific paper
https://doi.org/10.1080/1331677X.2022.2076141
A probabilistic linguistic thermodynamic method based on the water-filling algorithm and regret theory for emergency decision making
Wenting Xue
Zeshui Xu
Wuhui Lu
Abstract
Since thermodynamics can describe the energy of matter and its
form of storage or transformation in the system, it is introduced
to resolve the uncertain decision-making problems. The paper
proposes the thermodynamic decision-making method which
considers both the quantity and quality of the probabilistic linguistic
decision information. The analogies for thermodynamical
indicators: energy, exergy and entropy are developed under the
probabilistic linguistic circumstance. The probabilistic linguistic
thermodynamic method combines the regret theory which captures
decision makers’ regret-aversion and the objective weight of
criterion obtained by the water-filling algorithm. The proposed
method is applied to select the optimal solution to respond to
the floods in Chongqing, China. The self-comparison is conducted
to verify the effectiveness of the objective weight obtained by
the water-filling algorithm and regret theory in the probabilistic
linguistic thermodynamic method. The reliability and feasibility of
the proposed method are verified by comparative analysis with
other decision-making methods by some simulation experiments
and non-parametric tests.
Keywords
Probabilistic linguistic term set; thermodynamics; regret theory; water-filling algorithm; emergency decision making
Hrčak ID:
304276
URI
Publication date:
31.3.2023.
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