Preference relations on a set of fuzzy utilities as a basis for decision making
type: Item
instance of: scholarly article
title: Preference relations on a set of fuzzy utilities as a basis for decision making
zbMATH Open document ID: 0618.90001
DOI: 10.1016/0165-0114(86)90074-6
author: Kazuo Nakamura
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: 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.
reviewed by: Krzysztof Piasecki
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4003846
zbMATH Keywords: fuzzy orderings
zbMATH Keywords: fuzzy utilities
zbMATH Keywords: fuzzy preference relations
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90074-6
OpenAlex ID: W1986550159
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description: scientific article; zbMATH DE number 4003846