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

Erich Peter Klement, Radko Mesiar, Endre Pap

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

This second part (out of three) of a series of position papers on triangular norms (for Part I see Triangular norms. Position paper I: basic analytical and algebraic properties, Fuzzy Sets and Systems, in press) 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 - Aug 1 2004

Keywords

  • Additive generator
  • Ordinal sum
  • Parameterized families of triangular norms
  • Triangular norm

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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