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Solvability of fuzzy relational equations and manipulation of fuzzy data

  • Siegfried Gottwald
  • , Witold Pedrycz
  • Leipzig University

Research output: Contribution to journal › Article › peer-review

65 Citations (Scopus)

Abstract

The problem of characterization of fuzzy relational equations with respect to their solvability property is studied. Some aspects of manipulation of fuzzy data with the aid of fuzzy relational equations are considered. Two stages of manipulation process are indicated: combining pieces of evidence and inferring their mutual correspondence. Both of them are formulated and solved by the use of fuzzy relational equations. The role of a solvability index is extensively studied. Numerical considerations give an illustration of the approach we propose and deal with some real data used for fuzzy controllers.

Original languageEnglish
Pages (from-to)45-65
Number of pages21
JournalFuzzy Sets and Systems
Volume18
Issue number1
DOIs
Publication statusPublished - Jan 1986

Keywords

  • Fuzzy relation equations
  • Reasoning with fuzzy data
  • Solvability index

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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