On the monotone sum of basic t-norms in the construction of parametric families of digital conjunctors for fuzzy systems with reconfigurable logic

Ildar Z. Batyrshin, Imre J. Rudas, Luis A. Villa, Prometeo Cortés Antonio

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A problem of hardware implementation of fuzzy rule-based systems with reconfigurable parametric families of operations is discussed. The methods of generation of parametric families of digital fuzzy conjunctors and t-norms by means of monotone sum and ordinal sum of basic t-norms are studied in the paper. The paper considers several methods of generation of such operations utilizing only the simplest operations, such as comparison, min, max, bounded sum and bounded difference, providing efficient hardware implementation of different reconfigurable parametric families of digital fuzzy conjunctors in one modular structure.

Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalKnowledge-Based Systems
Volume38
DOIs
StatePublished - Jan 2013
Externally publishedYes

Keywords

  • Conjunctor
  • Discrete t-norm
  • FPGA
  • Finite scale
  • Fuzzy logic
  • Monotone sum
  • Ordinal sum
  • Semicopula

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