Triangular norms. Position paper II

General constructions and parameterized families

Erich Peter Klement, Radko Mesiar, E. Pap

Research output: Contribution to journalArticle

91 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

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Triangular Norm
T-norm
Ordinal Sum
Fuzzy systems
Fuzzy sets
Fuzzy Systems
Fuzzy Sets
Multiplicative
Generator
Series
Family
Presentation

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Electrical and Electronic Engineering
  • Statistics, Probability and Uncertainty
  • Information Systems and Management
  • Computer Vision and Pattern Recognition
  • Computer Science Applications
  • Artificial Intelligence

Cite this

Triangular norms. Position paper II : General constructions and parameterized families. / Klement, Erich Peter; Mesiar, Radko; Pap, E.

In: Fuzzy Sets and Systems, Vol. 145, No. 3, 01.08.2004, p. 411-438.

Research output: Contribution to journalArticle

Klement, Erich Peter ; Mesiar, Radko ; Pap, E. / Triangular norms. Position paper II : General constructions and parameterized families. In: Fuzzy Sets and Systems. 2004 ; Vol. 145, No. 3. pp. 411-438.
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