Optimality conditions for fuzzy variational problems with nonholonomic constraints
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Abstract
This paper is intended to investigate fuzzy variational problems of several dependent variables with nonholonomic constraints. Firstly, the necessary optimality conditions for fuzzy variational problems with nonholonomic constraints are established. Then, sufficient optimality conditions are obtained under some convexity assumptions.
Tóm tắt
Bài báo này nhằm mục đích nghiên cứu các bài toán tối ưu hóa hàm tích phân mờ của nhiều biến số phụ thuộc với các ràng buộc hệ phương trình vi phân cấp một. Trước hết, các điều kiện cần tối ưu cho các bài toán tối ưu hóa hàm tích phân mờ với các ràng buộc hệ phương trình vi phân được thiết lập. Sau đó, các điều kiện đủ tối ưu được khảo sát sử dụng một số giả thiết lồi.
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