Migrative t-norms with respect to continuous ordinal sums

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Abstract

In this paper we study and characterize continuous α-migrative t-norms T with respect to a continuous t-norm T0. Depending on whether α is an idempotent element of T0 or not, the (α, T0)-migrative property restricts the ordinal sum structure of T especially "locally", i.e., at α or around it. Outside this well-defined neighbourhood of α, the t-norm T can be arbitrary, under the only condition of keeping it continuous. The investigation exploits the ordinal sum structure of continuous t-norms and our former results related to the migrative property.

Original languageEnglish
Pages (from-to)4860-4866
Number of pages7
JournalInformation Sciences
Volume181
Issue number21
DOIs
Publication statusPublished - Nov 1 2011

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Keywords

  • Continuity
  • Extended migrative property
  • Ordinal sum
  • Triangular norm

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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