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Full Screen- TITLE
- CERTIFICATE
- DECLARATION
- ACKNOWLEDGEMENT
- CONTENTS
- 1 INTRODUCTION
- AN OVERVIEW OF MAIN RESULTS OF THE THESIS
- 2 PRELIMINARIES
- 2.1 Introduction
- 2.2 Fuzzy real numbers
- 2.3 Fuzzy topological vector spaces
- 3 FUZZY NUMBERS
- 3.1 Introduction
- 3.2 Equivalence relation between two fuzzy numbers
- 4 FUZZY HAHN-BANACH THEOREM
- 4.1 Introduction
- 4.2 Fuzzy Hahn-Banach theorem
- 5 FUZZY INNER PRODUCT SPACE
- 5.1 Introduction
- 5.2 Fuzzy inner product
- 5.3 Finite fuzzy orthogonal set
- 6 FUZZY TOPOLOGICAL VECTOR SPACE AND TOPOLOGICAL GROUP
- 6.1 Introduction
- 6.2 Fuzzy topological vector space and topological group
- 7 BOUNDED LINEAR TRANSFORMATIONS
- 7.1 Introduction
- 7.2 Bounded linear transformation
- 8 APPENDIX FUZZY METRI SPACE
- 8.1 Introduction
- 8.2 Fuzzy metric
- 8.3 Fuzzy metric topology
- REFERENCES