Quyết định đa thuộc tính bằng các quy luật hoạt động logarithmic trong môi trường neutrosophic khoảng

Granular Computing - Tập 7 - Trang 837-860 - 2022
Tipu Sultan Haque1, Avishek Chakraborty2, Hussam Alrabaiah3,4, Shariful Alam1
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, India
2Department of Basic Science, Narula Institute of Technology, Agarpara, India
3College of Engineering, Al Ain University, Al Ain, United Arab Emirates
4Department of Mathematics, College of Science, Tafila Technical University, Tafila, Jordan

Tóm tắt

Tập neutrosophic là sự tổng quát của tập fuzzy và tập fuzzy trực giác nhằm giải quyết thông tin không đầy đủ, không chắc chắn và không chính xác trong các vấn đề thực tế. Trong bài viết này, chúng tôi đã định nghĩa các quy luật hoạt động logarithmic mới cho các số neutrosophic khoảng. Sau đó, các thuộc tính đại số khác nhau của các quy luật hoạt động được đề xuất đã được nghiên cứu chi tiết. Hơn nữa, chúng tôi đã phát triển nhiều phép toán tổng hợp trung bình trọng số và hình học trọng số mong muốn, mà cuối cùng được sử dụng để giải quyết các vấn đề quyết định đa thuộc tính. Kỹ thuật quyết định đa thuộc tính đã được minh họa thông qua một ví dụ số và ảnh hưởng của toán tử logarithmic đối với các số neutrosophic khoảng cùng với việc lựa chọn cơ số logarithm ($\delta$) đã được giải thích từ góc độ thực tiễn. Cuối cùng, để minh chứng cho kỹ thuật quyết định đa thuộc tính được đề xuất, chúng tôi đã thực hiện phân tích nhạy cảm đối với các thuộc tính có ảnh hưởng cơ bản trong lĩnh vực nghiên cứu. Cuối cùng, một nghiên cứu so sánh đã được thực hiện để so sánh phương pháp của chúng tôi với các phương pháp hiện có về tính khả thi và hợp lý.

Từ khóa

#neutrosophic sets #fuzzy sets #decision-making #logarithmic operational laws #multiattribute decision-making

Tài liệu tham khảo

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