| Abstract | 第8-9页 |
| Abstract in Chinese | 第10-13页 |
| Chapter 1 Introduction | 第13-29页 |
| 1.1 Topic Background | 第13-18页 |
| 1.2 Preliminaries | 第18-26页 |
| 1.3 Objectives of Research | 第26-27页 |
| 1.4 Organization of the Thesis | 第27-29页 |
| Chapter 2 The characterizations of Mc Shane integral and Henstock integrals for fuzzy-number-valued functions with a small Riemannsum on a small set | 第29-38页 |
| 2.1 Introduction | 第29-30页 |
| 2.2 The characterization of Mc Shane integral of fuzzy-number-valued functions by Riemann integral and a small Riemann sum on a small set | 第30-34页 |
| 2.3 The characterization of Henstock integral of fuzzy-number-valued functions by Mc Shane integral and a small Riemann sum on a small set | 第34-37页 |
| 2.4 Concluding remarks | 第37-38页 |
| Chapter 3 Locally and globally small Riemann sums and Henstockintegral of fuzzy-number-valued functions | 第38-49页 |
| 3.1 Introduction | 第38-39页 |
| 3.2 Locally small Riemann sums and Henstock integral of fuzzy-number-valued functions | 第39-44页 |
| 3.3 Globally small Riemann sums and Henstock integral of fuzzy-number-valued functions | 第44-48页 |
| 3.4 Concluding remarks | 第48-49页 |
| Chapter 4 Locally and globally small Riemann sums and Henstockintegral of set-valued functions | 第49-62页 |
| 4.1 Introduction | 第49-50页 |
| 4.2 Support function characterizations of locally small Riemann sums andHenstock integral for set-valued functions | 第50-56页 |
| 4.3 Support function characterizations of globally small Riemann sums andHenstock integral for set-valued functions | 第56-60页 |
| 4.4 Concluding remarks | 第60-62页 |
| Chapter 5 Locally and globally small Riemann sums and Henstock integral of fuzzy-number-valued functions in E~n | 第62-73页 |
| 5.1 Introduction | 第62页 |
| 5.2 Characterizations of locally small Riemann sums and Henstock integralfor fuzzy-number-valued functions in E~n | 第62-67页 |
| 5.3 Characterizations of globally small Riemann sums and Henstock integralfor fuzzy-number-valued functions in E~n | 第67-72页 |
| 5.4 Concluding remarks | 第72-73页 |
| Chapter 6 The Henstock-Stieltjes integral for set-valued functions | 第73-92页 |
| 6.1 Introduction | 第73-74页 |
| 6.2 The Henstock-Stieltjes integral for set-valued functions | 第74-80页 |
| 6.3 Linearity properties of Henstock-Stieltjes integrability for set-valued func-tions | 第80-85页 |
| 6.4 Convergence theorems of set Henstock-Stieltjes integral | 第85-91页 |
| 6.5 Concluding remarks | 第91-92页 |
| Chapter 7 On Henstock-Stieltjes integral for fuzzy-number-valued functions in E~n | 第92-112页 |
| 7.1 Introduction | 第92-93页 |
| 7.2 On Henstock-Stieltjes (HS) integral for fuzzy-number-valued functionsin E~n | 第93-100页 |
| 7.3 Linearity properties of (HS) integrability for fuzzy-number-valued func-tions in E~n | 第100-105页 |
| 7.4 The Characterization of (F HS) Integrability for fuzzy-number-valuedfunctions in E~n | 第105-110页 |
| 7.5 Concluding remarks | 第110-112页 |
| REFERENCES | 第112-121页 |
| Publications | 第121-122页 |
| Acknowledgement | 第122页 |
