Opening and Closure Operators of Fuzzy Preorderings: Basic Properties and Applications to Fuzzy Rule-Based Systems

Ulrich Bodenhofer, Etienne Emile Kerre, Martine De Cock

Research output: Working paper and reportsResearch report

Abstract

The purpose of this paper is twofold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.
Original languageEnglish
Number of pages23
Publication statusPublished - 2000

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
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  • 101024 Probability theory
  • 101026 Time series analysis
  • 102 Computer Sciences
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  • 102013 Human-computer interaction
  • 102018 Artificial neural networks
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  • 103029 Statistical physics
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  • 106007 Biostatistics
  • 202017 Embedded systems
  • 202035 Robotics
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  • 305901 Computer-aided diagnosis and therapy
  • 305905 Medical informatics
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  • 102032 Computational intelligence
  • 102033 Data mining
  • 101031 Approximation theory

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