期刊
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
卷 24, 期 1, 页码 495-507出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-021-01151-5
关键词
Probabilistic linguistic term set; Fuzzy decision-making; Quantum decision-making; Multi-attribute decision-making
类别
资金
- University Natural Science Research Project of Jiangsu Province(CN) [19KJD510002]
This article introduces a quantum-like probabilistic linguistic term decision-making framework to address the complexities and subjectivities in decision-making processes. By analyzing quantum states, quantum data processing, and interference effects, decision-maker beliefs are represented in a superposition state with subjective relationships fully considered.
The decision-making process is always associated with uncertainty and vagueness because of the incomplete decision data and unpredictable decision-making behavior. The concurrence of the epistemic uncertainty and the aleatory uncertainty, especially when only the qualitative data are accessible, poses more challenges to the decision-making. The probabilistic linguistic term set provides a flexible tool for data representation in such an environment. However, most of the existing decision-making methods for the probabilistic linguistic term sets depend on the aggregation operator. The subjectivity of the decision-makers and the decision-making behaviors are not fully considered. To solve this problem, a quantum-like probabilistic linguistic term decision-making framework is proposed, in which the quantum state, quantum data processing, and quantum interference effect are analyzed in detail. The decision-making beliefs of decision-makers are in a superposition state and their subjective relationships are depicted in the interference term. A multi-attribute decision-making method in this framework is then proposed for practical applications. Then the applications for sea-battlefield situation assessment are presented as the illustration and validation. A comparative analysis is also provided to depict the advantages of the proposed method, based on which appropriate conclusions and remarks are drawn.
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