Decomposition of multiattribute fuzzy utility functions
type: Item
instance of: scholarly article
title: Decomposition of multiattribute fuzzy utility functions
zbMATH Open document ID: 0648.90045
DOI: 10.1016/0165-0114(87)90112-6
author: G. V. Merkuryeva
author: A. N. Borisov
published in: Fuzzy Sets and Systems
publication date: 1987-01-01T00:00:00Z
review text: The main goal is a problem of direct utility assessment and determination of a fuzzy preference relation on a set of multidimensional consequences of alternatives. The concept of preferential and utility independence in multiattribute utility theory is extended to the case of linguistic preference relations. The decomposition of the multiattribute fuzzy utility function is made for the case of one utility independent criterion under mutual independence of criteria. An algorithm for constructing multiattribute fuzzy utility functions is described, which is based on their decomposition. The presented results are very useful for the practice in decison making.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4059108
zbMATH Keywords: decomposition of functions
zbMATH Keywords: linguistic lottery
zbMATH Keywords: linguistic preference relation
zbMATH Keywords: utility independence
zbMATH Keywords: strategic equivalence
zbMATH Keywords: direct utility assessment
zbMATH Keywords: fuzzy preference relation
zbMATH Keywords: multiattribute utility theory
zbMATH Keywords: fuzzy utility functions
reviewed by: Krzysztof Piasecki
MaRDI profile type: Publication
full work available at URL: 0165-0114(87)90112-6
OpenAlex ID: W2001326645
cites work: Fuzzy decision trees
cites work: Q3947409
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description: scientific article; zbMATH DE number 4059108