Survey of Various Fuzzy and Uncertain Decision-Making Methods
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arXiv:2603.15709v1 Announce Type: new Abstract: Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the field into a concise, task-oriented taxonomy. We summarize problem-level settings (discrete, group/consensus, dynamic, multi-stage, multi-level, multiagent, and multi-scenario), weight elicitation (subjective and
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✦ AI Summary· Claude Sonnet
Computer Science > Artificial Intelligence
[Submitted on 16 Mar 2026]
Survey of Various Fuzzy and Uncertain Decision-Making Methods
Takaaki Fujita, Florentin Smarandache
Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the field into a concise, task-oriented taxonomy. We summarize problem-level settings (discrete, group/consensus, dynamic, multi-stage, multi-level, multiagent, and multi-scenario), weight elicitation (subjective and objective schemes under fuzzy/linguistic inputs), and inter-criteria structure and causality modelling. For solution procedures, we contrast compensatory scoring methods, distance-to-reference and compromise approaches, and non-compensatory outranking frameworks for ranking or sorting. We also outline rule/evidence-based and sequential decision models that produce interpretable rules or policies. The survey highlights typical inputs, core computational steps, and primary outputs, and provides guidance on choosing methods according to robustness, interpretability, and data availability. It concludes with open directions on explainable uncertainty integration, stability, and scalability in large-scale and dynamic decision environments.
Comments: Book. Publisher: Neutrosophic Science International Association (NSIA) Publishing House. ISBN: 978-1-59973-883-3. 446 pages
Subjects: Artificial Intelligence (cs.AI)
MSC classes: 03E72
Cite as: arXiv:2603.15709 [cs.AI]
(or arXiv:2603.15709v1 [cs.AI] for this version)
https://doi.org/10.48550/arXiv.2603.15709
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Related DOI:
https://doi.org/10.5281/zenodo.19044809
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Submission history
From: Takaaki Fujita [view email]
[v1] Mon, 16 Mar 2026 13:45:09 UTC (3,244 KB)
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