Fuzzy preference modelling: Fundamentals and recent advances

János 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 publicationFuzzy Sets and Their Extensions
Subtitle of host publicationRepresentation, Aggregation and Models
EditorsHumberto Bustince, Francisco Herrera, Javier Montero
Pages207-217
Number of pages11
DOIs
Publication statusPublished - Jan 1 2008

Publication series

NameStudies in Fuzziness and Soft Computing
Volume220
ISSN (Print)1434-9922

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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 H. Bustince, F. Herrera, & J. Montero (Eds.), Fuzzy Sets and Their Extensions: Representation, Aggregation and Models (pp. 207-217). (Studies in Fuzziness and Soft Computing; Vol. 220). https://doi.org/10.1007/978-3-540-73723-0_11