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Qualitative decision theory with Sugeno integrals. (English) Zbl 0984.91023

Grabisch, Michel (ed.) et al., Fuzzy measures and integrals. Theory and applications. Heidelberg: Physica-Verlag. Stud. Fuzziness Soft Comput. 40, 314-332 (2000).
The reviewed paper deals with the problem of decision-making under uncertainty where the preference scale is expressed by qualitative evaluation of alternatives. The main attention is focused to the axiomatic framework of the theory justificating the suggested and intuitivity acceptable concept of the utility derived by means of the fuzzy (Sugeno) integrals as a qualitative counterpart to the averaging operation used in the deterministic decision-making problem. By means of this axiomatization the classical concepts of the decision-making under uncertainty are generalized and their structure is formalized.
For the entire collection see [Zbl 0935.00014].

MSC:

91B06 Decision theory
91B16 Utility theory
28E10 Fuzzy measure theory
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