Matrix-pattern-based computer algorithm for solving fuzzy relation equations

Leh Luoh, Wen June Wang, Yi Ke Liaw

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


This paper proposes a new computer algorithm to solve the fuzzy relation equation P × Q = R, where × denotes max-min composition or max-product composition. This algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. Furthermore, by using MATLAB software 6.0, the algorithm is implemented in a computer program attached in the Appendix of this paper. Two examples are given to illustrate the effectiveness of the proposed algorithm.

Original languageEnglish
Pages (from-to)100-108
Number of pages9
JournalIEEE Transactions on Fuzzy Systems
Issue number1
StatePublished - Feb 2003


  • Fuzzy relation equations
  • Max-min operator
  • Max-product operator


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