Decomposition and resolution of min-implication fuzzy relation equations based on S-implications

@article{Luo2004DecompositionAR,
  title={Decomposition and resolution of min-implication fuzzy relation equations based on S-implications},
  author={Yanbin Luo and Yongming Li},
  journal={Fuzzy Sets and Systems},
  year={2004},
  volume={148},
  pages={305-317}
}
The problem of solving min-implication fuzzy relation equations based on S-implications is studied in this paper. Decomposition of min-implication fuzzy relation equations is given in a 0nite case. The solution existence problem of min-implication fuzzy relation equations is discussed, and for NS-implications, a new solvability criterion based upon “solution matrices” introduced in this paper is studied. It is shown that for each solution r of a min-implication fuzzy relation equation, there… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Decomposition and resolution of -Fuzzy relation equation based on R-implication, Fuzzy Systems Math

Y.-B. Luo, Y.-M. Li
2003
View 2 Excerpts

Analytical solution methods for fuzzy relational equations

B. De Baets
Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series, • 2000
View 3 Excerpts

De Baets , Analytical solution methods for fuzzy relational equations

H. Prade D. Dubois
Fundamentals of Fuzzy Sets , The Handbooks of Fuzzy Sets Series • 2000

Fuzzy relation equations and fuzzy inference systems: an inside approach

IEEE Trans. Systems, Man, and Cybernetics, Part B • 1999
View 2 Excerpts

Similar Papers

Loading similar papers…