Linganisha mbinu
Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.
| Hamacher T-norm× | HF-TOPSIS× | Upanningi wa Pythagorean wa TOPSIS× | |
|---|---|---|---|
| Nyanja | Ufanyaji Maamuzi | Ufanyaji Maamuzi | Ufanyaji Maamuzi |
| Familia | MCDM | MCDM | MCDM |
| Mwaka wa asili≠ | 1978 | 2013 | 2014 |
| Mwanzilishi≠ | Hamacher, H. | Xu, Z., Zhang, X. | Zhang, X., Xu, Z. |
| Aina≠ | 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). | Pythagorean outranking/ranking — Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) |
| Chanzo asilia≠ | 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 ↗ | Zhang, X., Xu, Z. (2014). Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets. International Journal of Intelligent Systems DOI ↗ |
| Majina mbadala | — | — | — |
| Zinazohusiana≠ | 4 | 8 | 8 |
| Muhtasari≠ | 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. | 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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