| 摘要 | 第1-5页 |
| Abstract | 第5-7页 |
| 1 Introduction | 第7-11页 |
| ·Background and status of current research | 第7-9页 |
| ·The main work | 第9-11页 |
| 2 Notations and definitions | 第11-15页 |
| 3 Transitive properties and canonical forms of generalized fuzzy matrices | 第15-25页 |
| ·The transitive properties of powers of matrices | 第15-18页 |
| ·The canonical form of a transitive matrix | 第18-25页 |
| 4 Canonical form of a strongly transitive generalized fuzzy matrix | 第25-29页 |
| 5 A simultaneously canonical family of generalized fuzzy matrices | 第29-41页 |
| ·Result of weak convergence | 第29-33页 |
| ·Necessary and sufficient conditions for a set of n×n generalized fuzzy matrices to be a simultaneously canonical family | 第33-41页 |
| References | 第41-45页 |
| 攻读硕士学位期间的研究成果 | 第45-47页 |
| 致谢 | 第47页 |
