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| TNORM-HAMACHER (Hamacher T-norm× | HF-TOPSIS× | TOPSIS Kabur Intuisionistik× | Perluasan TOPSIS secara Pythagoras× | |
|---|---|---|---|---|
| Bidang | Pengambilan Keputusan | Pengambilan Keputusan | Pengambilan Keputusan | Pengambilan Keputusan |
| Keluarga | MCDM | MCDM | MCDM | MCDM |
| Tahun asal≠ | 1978 | 2013 | 1986 | 2014 |
| Pencetus≠ | Hamacher, H. | Xu, Z., Zhang, X. | Atanassov, K. T. | Zhang, X., Xu, Z. |
| Tipe≠ | Parametric t-norm family — Hamacher (rational generator) | 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). | Distance-based ranking under Intuitionistic Fuzzy uncertainty | Pythagorean outranking/ranking — Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) |
| Sumber perintis≠ | Hamacher, H. (1978). Über logische Verknüpfungen unscharfer Aussagen und deren zugehörige Bewertungsfunktionen. Progress in Cybernetics and Systems Research link ↗ | 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 ↗ |
| Alias | — | — | — | — |
| Terkait≠ | 4 | 8 | 5 | 8 |
| Ringkasan≠ | TNORM-HAMACHER (Hamacher T-norm — Rational parametric t-norm for fuzzy aggregation) is a t-norm multi-criteria decision-making (MCDM) method introduced by Hamacher, H. in 1978. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. | 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-TOPSIS (Intuitionistic Fuzzy TOPSIS) 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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