Triangular norms. Position paper II: General constructions and parameterized families

Erich Klement, Radko Mesiar, Endre Pap

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Abstract

This second part (out of three) of a series of position papers on triangular norms (for Part I see E. P. Klement, R. Mesiar, E. Pap, Triangular norms. Position paper I: Basic analytical and algebraic properties. Fuzzy Sets and Systems (in press, also FLLL-TR-0208)) deals with general construction methods based on additive and multiplicative generators, and on ordinal sums. Also included are some constructions leading to non-continuous t-norms, and a presentation of some distinguished families of t-norms.
Original languageEnglish
Pages (from-to)411-438
Number of pages28
JournalFuzzy Sets and Systems
Volume145
Issue number3
DOIs
Publication statusPublished - 01 Aug 2004

Fields of science

  • 101 Mathematics
  • 101004 Biomathematics
  • 101027 Dynamical systems
  • 101013 Mathematical logic
  • 101028 Mathematical modelling
  • 101014 Numerical mathematics
  • 101020 Technical mathematics
  • 101024 Probability theory
  • 102001 Artificial intelligence
  • 102003 Image processing
  • 102009 Computer simulation
  • 102019 Machine learning
  • 102023 Supercomputing
  • 202027 Mechatronics
  • 206001 Biomedical engineering
  • 206003 Medical physics
  • 102035 Data science

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