Nội dung được dịch bởi AI, chỉ mang tính chất tham khảo
Đo lường độ không chắc chắn trong lý thuyết bằng chứng
Tóm tắt
Là một sự mở rộng của lý thuyết xác suất, lý thuyết bằng chứng có khả năng xử lý tốt hơn thông tin không xác định và không chính xác. Nhờ vào những lợi thế của nó, lý thuyết bằng chứng có tính linh hoạt và hiệu quả hơn trong việc mô hình hóa và xử lý thông tin không chắc chắn. Đo lường độ không chắc chắn đóng một vai trò thiết yếu trong cả lý thuyết bằng chứng và lý thuyết xác suất. Trong lý thuyết xác suất, Entropy Shannon cung cấp một góc nhìn mới mẻ để đo lường độ không chắc chắn. Có nhiều loại entropy khác nhau tồn tại để đo lường độ không chắc chắn của sự phân bổ xác suất cơ bản (BPA) trong lý thuyết bằng chứng. Tuy nhiên, từ góc độ yêu cầu của việc đo lường độ không chắc chắn và vật lý, các entropy này vẫn còn gây tranh cãi. Do đó, quá trình đo lường độ không chắc chắn của BPA hiện vẫn là một vấn đề còn bỏ ngỏ trong tài liệu. Đầu tiên, bài báo này xem xét các biện pháp đo lường độ không chắc chắn trong lý thuyết bằng chứng, kèm theo phân tích về một số tranh cãi liên quan. Thứ hai, chúng tôi thảo luận về sự phát triển của entropy Deng như một cách hiệu quả để đo lường độ không chắc chắn, bao gồm việc giới thiệu định nghĩa của nó, phân tích các thuộc tính của nó và so sánh nó với các phương pháp khác. Chúng tôi cũng xem xét khái niệm entropy Deng lớn nhất, tam giác Pascal giả của entropy Deng lớn nhất, entropy niềm tin tổng quát và các biện pháp phân kỳ. Thêm vào đó, chúng tôi tiến hành phân tích ứng dụng của entropy Deng và tiếp tục xem xét các thách thức cho các nghiên cứu trong tương lai về đo lường độ không chắc chắn trong lý thuyết bằng chứng. Cuối cùng, bài viết sẽ cung cấp một kết luận để tóm tắt nghiên cứu này.
Từ khóa
#lý thuyết bằng chứng #đo lường độ không chắc chắn #entropy Shannon #entropy Deng #phân bố xác suất cơ bản #tranh cãi về độ không chắc chắnTài liệu tham khảo
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