矩阵半张量积理论的若干新应用=RECENT APPLICATIONS OF THE THEORY OF SEMI-TEN

Preface
Chapter 1Introduction of the Semi-tensor Product of Matrices
1．1 Definition of STP
1．2 Basic Properties of STP
1．3 Special Properties of STP
1．4 Conclusion
References

Chapter 2 Solving General Type-2 Fuzzy Relation Equations
2．1 Introduction
2．2 Problem Formulation
2．2．1 Type-2 FRs and Their Compositions
2．2．2 STP Method of Solving Type-1 FREs
2．2．3 Problem Formulation
2．3 Type-2 Fuzzy Relation Equations
2．3．1 Properties ofT2 FREs
2．3．2 Solving Type-2 Fuzzy Relation Equations
2．4 Illustrative Examples
2．5 Conclusion
References

Chapter 3 Solving Symmetrical-Valued Type-2 Fuzzy Relation Equations
3．1 Introduction
3．2 Symmetrical-Valued T2 FRs
3．2．1 Symmetrical-Valued T2 FRs and Their Properties
3．2．2 Solving Symmetrical-Valued Type-2 FREs
3．3 Illustrative Examples
3．4 Conclusion
References
……

Chapter 4 Algebraic Approach to Construct Compatible State Set of Finite State Machines
Chapter 5 Algebraic Simplification of Finite State Machines
Chapter 6 Algebraic Criteria for Finite State Machine Understanding of Regular Language
Chapter 7 Reduction Conditions of State Space for Finite State Machines
Chapter 8 Searching Control Sets of Graphs
Chapter 9 Solutions of MTAP