Preference relations on a set of fuzzy utilities as a basis for decision making
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.
scientific article; zbMATH DE number 4003846
scientific article