ON FUZZY DIFFERENTIAL GAMES
Abd El-Monem Abd El-Hameed Abd El-Hameed Megahed;
Abstract
The aims of this thesis, re:
1- Solution of some fuzzy continuous differential games and deriving the optimality necessary conditions for these games.
2- Formulation and solution of some large scale continuous differential games.
3- Formulation and solution of some fuzzy large scale continuous differential games.
This thesis consists of five chapters.
Chapter 1: "Survey on The Related Topics"
In this chapter we summarize definitions, notions and known results which are needed in this thesis such as matrix games, differential games, large scale systems and fuzzy optimization problem.
Chapter 2: "Fuzzy Differential Games"
In this chapter we derive the necessary conditions for the Nash, Cooperative
., equilibrium solution of fuzzy continuous differential games and Stackelberg for fuzzy
continuous differential games. Also we present illustrative examples.
Chapter 3: "Large Scale Continuous Differential Games"
The formulations of large scale continuous differential games m the Nash, Cooperative and, Stackelberg leader with dependent and independent followers, are presented. For solving these problems we decomposed them into number of subproblems, by solving these subproblems we obtain the solution of the original problem.
Chapter 4: "Fuzzy Large Scale Continuous Differential Games"
In this chapter we solve fuzzy large scale continuous differential games problem, for the types (Nash, Cooperative and Stackelberg leader with dependent .and independent followers), by the notion of a -level cut.
Chapter 5: "Conclusions and Recommendations for Future work"
In this chapter we summarize the main conclusions related to our study and presented some suggestions for future research related to the field of differential games.
1- Solution of some fuzzy continuous differential games and deriving the optimality necessary conditions for these games.
2- Formulation and solution of some large scale continuous differential games.
3- Formulation and solution of some fuzzy large scale continuous differential games.
This thesis consists of five chapters.
Chapter 1: "Survey on The Related Topics"
In this chapter we summarize definitions, notions and known results which are needed in this thesis such as matrix games, differential games, large scale systems and fuzzy optimization problem.
Chapter 2: "Fuzzy Differential Games"
In this chapter we derive the necessary conditions for the Nash, Cooperative
., equilibrium solution of fuzzy continuous differential games and Stackelberg for fuzzy
continuous differential games. Also we present illustrative examples.
Chapter 3: "Large Scale Continuous Differential Games"
The formulations of large scale continuous differential games m the Nash, Cooperative and, Stackelberg leader with dependent and independent followers, are presented. For solving these problems we decomposed them into number of subproblems, by solving these subproblems we obtain the solution of the original problem.
Chapter 4: "Fuzzy Large Scale Continuous Differential Games"
In this chapter we solve fuzzy large scale continuous differential games problem, for the types (Nash, Cooperative and Stackelberg leader with dependent .and independent followers), by the notion of a -level cut.
Chapter 5: "Conclusions and Recommendations for Future work"
In this chapter we summarize the main conclusions related to our study and presented some suggestions for future research related to the field of differential games.
Other data
| Title | ON FUZZY DIFFERENTIAL GAMES | Other Titles | المباريات التفاضلية الفازية | Authors | Abd El-Monem Abd El-Hameed Abd El-Hameed Megahed | Issue Date | 2003 |
Attached Files
| File | Size | Format | |
|---|---|---|---|
| B14997.pdf | 959.17 kB | Adobe PDF | View/Open |
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