An approach to group choice with fuzzy preference relations
type: Item
instance of: scholarly article
title: An approach to group choice with fuzzy preference relations
zbMATH Open document ID: 0622.90006
DOI: 10.1016/0165-0114(87)90067-4
author: Stoichko Zahariev
published in: Fuzzy Sets and Systems
publication date: 1987-01-01T00:00:00Z
review text: This paper presents an approach to group choice with fuzzy preference relations. The experts' judgements are presented as fuzzy preorder relations. As group choice we assume the nearest relation to these relations, in the sense of the Hamming distance. An algorithm for finding a preorder relation as an expression of group choice is given and a way is pointed out to find the best alternative on the basis of this group choice. Furthermore, the connection between the impossibility theorem of Arrow and this group choice is considered.
Mathematics Subject Classification ID: 91B10
Mathematics Subject Classification ID: 91B08
zbMATH DE Number: 4010159
zbMATH Keywords: distance between fuzzy relations
zbMATH Keywords: group choice
zbMATH Keywords: fuzzy preference relations
zbMATH Keywords: fuzzy preorder relations
zbMATH Keywords: Hamming distance
zbMATH Keywords: impossibility theorem
MaRDI profile type: Publication
full work available at URL: 0165-0114(87)90067-4
OpenAlex ID: W2010949310
cites work: Studies in fuzzy relations over fuzzy subsets
cites work: Q4096943
cites work: Q5671815
cites work: Approaches to collective decision making with fuzzy preference relations
cites work: Decision-making with a fuzzy preference relation
cites work: Fuzzy preference orderings in group decision making
Recommended article: Q3798434
Recommended article: On fuzzy preference relation in group decision making
Recommended article: AN APPROACH TO GROUP DECISION MAKING BASED ON INCOMPLETE FUZZY PREFERENCE RELATIONS
Recommended article: Fuzzy preference orderings in group decision making
Recommended article: Group decision making with heterogeneous intuitionistic fuzzy preference relations
Recommended article: Incomplete Fermatean fuzzy preference relations and group decision-making
Recommended article: A multiple criteria sorting method based on fuzzy preference relations in group decision contexts
Recommended article: Q4782908
Recommended article: Group decision making with incomplete fuzzy linguistic preference relations
Recommended article: Interactive group decision-making using fuzzy programming with preference criteria
description: scientific article; zbMATH DE number 4010159