The role of fuzzy sets in decision sciences: old techniques and new directions. (English) Zbl 1242.91043
Summary: We try to provide a tentative assessment of the role of fuzzy sets in decision analysis. We discuss membership functions, aggregation operations, linguistic variables, fuzzy intervals and the valued preference relations they induce. The importance of the notion of bipolarity and the potential of qualitative evaluation methods are also pointed out. We take a critical standpoint on the state-of-the-art, in order to highlight the actual achievements and question what is often considered debatable by decision scientists observing the fuzzy decision analysis literature.
MSC:
| 91B06 | Decision theory |
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
| 03E72 | Theory of fuzzy sets, etc. |
Keywords:
decision; qualitative value scales; aggregation; linguistic variables; preference relations; fuzzy intervals; ranking methodsSoftware:
CP-netsReferences:
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