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Hamacher T-范数×犹豫模糊TOPSIS(含可选的不完整权重信息)(Xu-Zhang 2013 KBS)×直觉模糊TOPSIS×VIKOR的直觉模糊扩展×
领域决策决策决策决策
方法族MCDMMCDMMCDMMCDM
起源年份1978201319861986
提出者Hamacher, H.Xu, Z., Zhang, X.Atanassov, K. T.Atanassov, K. T.
类型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 uncertaintyIntuitionistic outranking/ranking — Intuitionistic Fuzzy Number (IFN: μ, ν; μ+ν ≤ 1)
开创性文献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 ↗Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems DOI ↗
别名
相关4858
摘要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.
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ScholarGate方法对比: TNORM-HAMACHER · HF-TOPSIS · IF-TOPSIS · IF-VIKOR. 于 2026-06-20 检索自 https://scholargate.app/zh/compare