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HF-TOPSIS×Интуиционистский нечеткий TOPSIS×Пифагорово расширение TOPSIS×
ОбластьПринятие решенийПринятие решенийПринятие решений
СемействоMCDMMCDMMCDM
Год появления201319862014
Автор методаXu, Z., Zhang, X.Atanassov, K. T.Zhang, X., Xu, Z.
ТипDistance-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 uncertaintyPythagorean outranking/ranking — Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1)
Основополагающий источникXu, 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 ↗
Другие названия
Связанные858
СводкаHF-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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ScholarGateСравнение методов: HF-TOPSIS · IF-TOPSIS · PF-TOPSIS. Получено 2026-06-20 из https://scholargate.app/ru/compare