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Preference relations on a set of fuzzy utilities as a basis for decision making. (English) Zbl 0618.90001
The author investigates the reasonability of fuzzy orderings of unidimensional fuzzy utilities (FU’s) and constructs a reasonable fuzzy order relation on a given set of FU’s as one step of the decision making procedure in problems where the information on the states of a system’s environment is imprecisely obtained. These relations are called fuzzy preference relations. The basic notions and the required properties for reasonable fuzzy orderings are introduced in the way as in a paper by the reviewer [BUSEFAL 20, 90-97 (1984; Zbl 0547.04004)]. A new method for constructing a fuzzy preference relation on a set of FU’s is proposed and it is shown that its properties are consistent with reasonable fuzzy orderings. The proposed method is considered as a method of direct comparison, whose conceptual idea originates from Hurwicz’ criterion in the conventional theory of decision making under uncertainty with complete ignorance.
Reviewer: K.Piasecki

MSC:
91B06 Decision theory
91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.
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