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- Title
Novel Three-way Decision Models Based on Bayes Decision Theory with Neutrosophic Sets.
- Authors
Dongsheng Xu; Liang Zhou; Yihui Zhao; Xin Liu
- Abstract
The three-way decision paradigm is a decision-making approach that is analogous to human reasoning. It involves a neutrosophic set as an efficient tool for handling ambiguity. Using cotangent similarity, the Hamming distance, and the innovative Vicis-Wave Hedges distance for ranking, this study proposes three novel three-way decision models based on the Bayes decision. In particular, single-valued neutrosophic numbers are employed to represent each loss function. The proposed models are then condensed into an algorithm. Subsequently, an example is presented to demonstrate the validity and rationality of the proposed models. Finally, we compare the three models. This research provides a new method for decision-making problems.
- Subjects
DECISION theory; SET theory; HAMMING distance; AMBIGUITY; DECISION making
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 5, p910
- ISSN
1992-9978
- Publication type
Article