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Three-way multi-attribute decision making under hesitant fuzzy environments. (English) Zbl 1483.68411

Summary: In decision making processes, an expert with hesitant attitudes may experience difficulties when evaluating alternatives via a single assessment value. By allowing the membership degree of an element to a set represented by several possible values, hesitant fuzzy sets (HFSs) are usually needed to address this situation. Thus, it is meaningful to put forward a kind of multi-attribute decision making (MADM) method in the hesitant fuzzy (HF) environment. In addition, three-way decision (3WD) is a decision making method by introducing the idea of non-commitments, and it can effectively reduce decision risks. In this paper, the 3WD method-based MADM with HF information is proposed. According to the information table, the membership function of an objective HFS is given. The effectiveness of the proposed method is verified by solving an infectious disease diagnosis problem. Finally, we give a comparative analysis between the proposed method and the existing HF MADM methods. Further, three experimental results show that the proposed method is reasonable and effective.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
91B06 Decision theory

Software:

VIKOR
PDFBibTeX XMLCite
Full Text: DOI

References:

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