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| HF-TOPSIS× | Mở rộng trực giác của VIKOR× | Mở rộng Pythagorean của TOPSIS× | |
|---|---|---|---|
| Lĩnh vực | Ra quyết định | Ra quyết định | Ra quyết định |
| Họ | MCDM | MCDM | MCDM |
| Năm ra đời≠ | 2013 | 1986 | 2014 |
| Người khởi xướng≠ | Xu, Z., Zhang, X. | Atanassov, K. T. | Zhang, X., Xu, Z. |
| Loại≠ | Distance-to-ideal ranking (Hwang-Yoon 1981) extended to Hesitant Fuzzy Elements (HFE ⊂ [0,1]) via the hesitant normalised Euclidean distance d_1 (Xu-Xia 2011b); supports three weight-information modes: fully specified, completely unknown (Eq.(22) maximizing deviation closed-form), and partly known (Model M-2 linear programme). | Intuitionistic outranking/ranking — Intuitionistic Fuzzy Number (IFN: μ, ν; μ+ν ≤ 1) | Pythagorean outranking/ranking — Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) |
| Công trình gốc≠ | Xu, Z., Zhang, X. (2013). Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowledge-Based Systems DOI ↗ | Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems DOI ↗ | Zhang, X., Xu, Z. (2014). Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets. International Journal of Intelligent Systems DOI ↗ |
| Tên gọi khác | — | — | — |
| Liên quan | 8 | 8 | 8 |
| Tóm tắt≠ | HF-TOPSIS (Hesitant Fuzzy TOPSIS with optional incomplete weight information (Xu-Zhang 2013 KBS)) is a ranking multi-criteria decision-making (MCDM) method introduced by Xu, Z., Zhang, X. in 2013. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. | IF-VIKOR (Intuitionistic extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T. in 1986. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. | PF-TOPSIS (Pythagorean extension of TOPSIS) is a ranking multi-criteria decision-making (MCDM) method introduced by Zhang, X., Xu, Z. in 2014. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. |
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