Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN ABS-FRE ALGORITHM FOR SOLVING SYSTEMS OF FUZZY RELATION EQUATIONS

  • Xia, Zun-Quan (Laboratory 2, CORA, Department of Applied Mathematics, Dalian University of Technology) ;
  • Guo, Fang-Fang (Laboratory 2, CORA, Department of Applied Mathematics, Dalian University of Technology)
  • Published : 2004.05.01

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Abstract

The general scheme of an algorithm, called an ABS-FRE algorithm, for solving systems of fuzzy relation equations (systems of FRE) via the ABS algorithms is presented. As special cases, two particular algorithms for obtaining the greatest and minimal solutions of systems of FRE are described. Several new operations used in this scheme are given, for instance, operators $\veebar$ and $\underline{\wedge}$ called quasi-inverses of operators $\vee$ and $\wedge$, respectively, etc.

Keywords

References

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