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T-norm de Hamacher×HF-TOPSIS×Intuitionistic Fuzzy TOPSIS×Extensión intuicionista de VIKOR×Extensión pitagórica de TOPSIS×
CampoToma de decisionesToma de decisionesToma de decisionesToma de decisionesToma de decisiones
FamiliaMCDMMCDMMCDMMCDMMCDM
Año de origen19782013198619862014
Autor originalHamacher, H.Xu, Z., Zhang, X.Atanassov, K. T.Atanassov, K. T.Zhang, X., Xu, Z.
TipoParametric 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)Pythagorean outranking/ranking — Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1)
Fuente seminalHamacher, 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 ↗Zhang, X., Xu, Z. (2014). Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets. International Journal of Intelligent Systems DOI ↗
Alias
Relacionados48588
ResumenTNORM-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.
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ScholarGateComparar métodos: TNORM-HAMACHER · HF-TOPSIS · IF-TOPSIS · IF-VIKOR · PF-TOPSIS. Recuperado el 2026-06-20 de https://scholargate.app/es/compare