Benha University

محمد محمود محمد ابراهيم

مدرس مساعد

كلية الهندسة بشبرا هندسة الرياضيات والفيزياء

On Nash-Coalitive Fuzzy Continuous Differential Games

International Journal of Emerging Technology and Advanced Engineering • 2022
العودة
معلومات البحث
المؤلفون Mohamed Abd El-Hady Kassem; Nabil A. El-kholy; M. H. Eid; Mohamed M. M. Ibrahim
الكلمات المفتاحية Not Available
المجلة العلمية International Journal of Emerging Technology and Advanced Engineering
الناشر Not Available
المجلد 12
العدد 3
الصفحات 24-32
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
This paper concentrates on providing a simple
and effective technique to solve the Nash-coalitive fuzzy
continuous differential games. These games are featured by
having fuzzy coefficients, fuzzy controls, and fuzzy state
functions. The proposed technique utilizes the α-cut set
concept of fuzzy numbers to transform the problem under
study into a corresponding interval problem. The latter one is
sliced into two problems, lower problem and upper problem,
to obtain the optimal solution for the Nash-coalitive fuzzy
continuous differential games problem in a range form. The
sufficient and necessary conditions for this problem are
derived. A numerical example is provided to clarify the
presented concepts.
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