Abstract | ||
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The solution set of a consistent system of fuzzy relational equations with max-min composition can be characterized by one maximum solution and a finite number of minimal solutions. A polynomial-time method of O(mn) complexity is proposed to determine whether such a system has a unique minimal solution and/or a unique solution, where m, n are the dimensions of the input data. The proposed method can be extended to examining a system of fuzzy relational equations with max-T composition where T is a continuous triangular norm. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1007/s10700-011-9100-y | FO & DM |
Keywords | Field | DocType |
Fuzzy relational equations,Minimal solutions,Unique solvability | Discrete mathematics,Mathematical optimization,Finite set,Fuzzy classification,Fuzzy logic,Fuzzy mathematics,Solution set,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
10 | 2 | 1568-4539 |
Citations | PageRank | References |
12 | 0.55 | 10 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pingke Li | 1 | 193 | 10.03 |
Shu-Cherng Fang | 2 | 1153 | 95.41 |