So sánh phương pháp

	T-norm Hamacher	HF-TOPSIS	Intuitionistic Fuzzy TOPSIS	Mở rộng trực giác của VIKOR	Mở rộng Pythagorean của TOPSIS
Lĩnh vực	Ra quyết định	Ra quyết định	Ra quyết định	Ra quyết định	Ra quyết định
Họ	MCDM	MCDM	MCDM	MCDM	MCDM
Năm ra đời	1978	2013	1986	1986	2014
Người khởi xướng	Hamacher, H.	Xu, Z., Zhang, X.	Atanassov, K. T.	Atanassov, K. T.	Zhang, X., Xu, Z.
Loại	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	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	Hamacher, H. (1978). Über logische Verknüpfungen unscharfer Aussagen und deren zugehörige Bewertungsfunktionen. Progress in Cybernetics and Systems Research	Xu, Z., Zhang, X. (2013). Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowledge-Based Systems	Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems	Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems	Zhang, X., Xu, Z. (2014). Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets. International Journal of Intelligent Systems
Tên gọi khác	—	—	—	—	—
Liên quan	4	8	5	8	8
Tóm tắt	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.	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.