General representation theorems for fuzzy weak orders

Ulrich Bodenhofer, Janos Fodor, Bernard De Baets

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The present paper gives a state-of-the-art overview of general representation results for fuzzy weak orders. We do not assume that the underlying domain of alternatives is finite. Instead, we concentrate on results that hold in the most general case that the underlying domain is possibly infinite. This paper presents three fundamental representation results: (i) score function-based representations, (ii) inclusion-based representations, (iii) representations by decomposition into crisp linear orders and fuzzy equivalence relations.
Original languageEnglish
Title of host publicationTheory and Applications of Relational Structures as Knowledge Instruments II
Place of PublicationBerlin Heidelberg
PublisherSpringer-Verlag
Pages229-244
Number of pages15
ISBN (Print)3-540-69223-1
Publication statusPublished - 2006

Publication series

NameLecture Notes in Computer Science (LNCS)

Fields of science

  • 101004 Biomathematics
  • 101027 Dynamical systems
  • 101028 Mathematical modelling
  • 101029 Mathematical statistics
  • 101014 Numerical mathematics
  • 101015 Operations research
  • 101016 Optimisation
  • 101017 Game theory
  • 101018 Statistics
  • 101019 Stochastics
  • 101024 Probability theory
  • 101026 Time series analysis
  • 102 Computer Sciences
  • 102001 Artificial intelligence
  • 102003 Image processing
  • 102004 Bioinformatics
  • 102013 Human-computer interaction
  • 102018 Artificial neural networks
  • 102019 Machine learning
  • 103029 Statistical physics
  • 106005 Bioinformatics
  • 106007 Biostatistics
  • 202017 Embedded systems
  • 202035 Robotics
  • 202036 Sensor systems
  • 202037 Signal processing
  • 305901 Computer-aided diagnosis and therapy
  • 305905 Medical informatics
  • 305907 Medical statistics
  • 102032 Computational intelligence
  • 102033 Data mining
  • 101031 Approximation theory

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