On weakly smooth uninorms on finite chain

Gang Li, Hua Wen Liu, János Fodor

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this paper, we characterize all weakly smooth uninorms (i.e., uninorms with smooth underlying operators) defined on a finite chain. It is proved that any such uninorm is determined by three unary functions and vice versa. As a by-product, we obtain the characterizations of smooth t-norms, smooth t-conorms through additive generators and show that on a finite chain, there exists no counterpart of the class of uninorms continuous in ]0, 1[2.

Original languageEnglish
Pages (from-to)421-440
Number of pages20
JournalInternational Journal of Intelligent Systems
Volume30
Issue number4
DOIs
Publication statusPublished - Apr 1 2015

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ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Human-Computer Interaction
  • Artificial Intelligence

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