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Fuzzy strict preference relations compatible with fuzzy orderings

Bonifacio Llamazares and Bernard De Baets UGent (2010) INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. 18(1). p.13-24
abstract
One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
fuzzy strict preference relation, transitivity, Fuzzy ordering, LUKASIEWICZ TRIPLETS, PRE-ORDERS, DEFINITION, DECOMPOSITION, TRANSITIVITY, SIMILARITY, PLEA
journal title
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Int. J. Uncertainty Fuzziness Knowl.-Based Syst.
volume
18
issue
1
pages
13 - 24
Web of Science type
Article
Web of Science id
000274916700002
JCR category
COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
JCR impact factor
0.85 (2010)
JCR rank
77/108 (2010)
JCR quartile
3 (2010)
ISSN
0218-4885
DOI
10.1142/S0218488510006350
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1085550
handle
http://hdl.handle.net/1854/LU-1085550
date created
2010-12-09 11:45:39
date last changed
2016-12-19 15:46:29
@article{1085550,
  abstract     = {One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.},
  author       = {Llamazares, Bonifacio and De Baets, Bernard},
  issn         = {0218-4885},
  journal      = {INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS},
  keyword      = {fuzzy strict preference relation,transitivity,Fuzzy ordering,LUKASIEWICZ TRIPLETS,PRE-ORDERS,DEFINITION,DECOMPOSITION,TRANSITIVITY,SIMILARITY,PLEA},
  language     = {eng},
  number       = {1},
  pages        = {13--24},
  title        = {Fuzzy strict preference relations compatible with fuzzy orderings},
  url          = {http://dx.doi.org/10.1142/S0218488510006350},
  volume       = {18},
  year         = {2010},
}

Chicago
Llamazares, Bonifacio, and Bernard De Baets. 2010. “Fuzzy Strict Preference Relations Compatible with Fuzzy Orderings.” International Journal of Uncertainty Fuzziness and Knowledge-based Systems 18 (1): 13–24.
APA
Llamazares, B., & De Baets, B. (2010). Fuzzy strict preference relations compatible with fuzzy orderings. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 18(1), 13–24.
Vancouver
1.
Llamazares B, De Baets B. Fuzzy strict preference relations compatible with fuzzy orderings. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. 2010;18(1):13–24.
MLA
Llamazares, Bonifacio, and Bernard De Baets. “Fuzzy Strict Preference Relations Compatible with Fuzzy Orderings.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 18.1 (2010): 13–24. Print.