Fuzzy preference modelling

Fundamentals and recent advances

J. Fodor, Bernard de Baets

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Citations (Scopus)

Abstract

The construction of fuzzy strict preference, indifference and incomparability relations from a fuzzy large preference relation is usually cast into an axiomatic framework based on t-norms. In this contribution, we show that this construction is essentially characterized by the choice of an indifference generator, a symmetrical mapping located between the L ukasiewicz t-norm and the minimum operator. Interesting constructions are obtained by choosing as indifference generator a commutative quasi-copula, an ordinal sum of Frank t-norms or a particular Frank t-norm.

Original languageEnglish
Title of host publicationStudies in Fuzziness and Soft Computing
Pages207-217
Number of pages11
Volume220
DOIs
Publication statusPublished - 2008

Publication series

NameStudies in Fuzziness and Soft Computing
Volume220
ISSN (Print)14349922

Fingerprint

Preference Modelling
Fuzzy Preference
Fuzzy Modeling
T-norm
Quasi-copula
Ordinal Sum
Generator
Preference Relation
Operator

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Fodor, J., & de Baets, B. (2008). Fuzzy preference modelling: Fundamentals and recent advances. In Studies in Fuzziness and Soft Computing (Vol. 220, pp. 207-217). (Studies in Fuzziness and Soft Computing; Vol. 220). https://doi.org/10.1007/978-3-540-73723-0_11

Fuzzy preference modelling : Fundamentals and recent advances. / Fodor, J.; de Baets, Bernard.

Studies in Fuzziness and Soft Computing. Vol. 220 2008. p. 207-217 (Studies in Fuzziness and Soft Computing; Vol. 220).

Research output: Chapter in Book/Report/Conference proceedingChapter

Fodor, J & de Baets, B 2008, Fuzzy preference modelling: Fundamentals and recent advances. in Studies in Fuzziness and Soft Computing. vol. 220, Studies in Fuzziness and Soft Computing, vol. 220, pp. 207-217. https://doi.org/10.1007/978-3-540-73723-0_11
Fodor J, de Baets B. Fuzzy preference modelling: Fundamentals and recent advances. In Studies in Fuzziness and Soft Computing. Vol. 220. 2008. p. 207-217. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-540-73723-0_11
Fodor, J. ; de Baets, Bernard. / Fuzzy preference modelling : Fundamentals and recent advances. Studies in Fuzziness and Soft Computing. Vol. 220 2008. pp. 207-217 (Studies in Fuzziness and Soft Computing).
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