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m-Polar Hesitant Fuzzy TOPSIS (Akram, Adeel & Alcantud 2019, Symmetry 11(6):795)×层次分析法×最佳-最差法 (Best-Worst Method)×香农熵权重法×
领域决策决策决策决策
方法族MCDMMCDMMCDMMCDM
起源年份2019198020151948
提出者Akram, M., Adeel, A., Alcantud, J. C. R.Saaty, T. L.Rezaei, J.Shannon, C. E.
类型Distance-based ranking — m-polar hesitant fuzzy TOPSIS — pole-wise max/min ideals on a weighted mHF decision matrix (Eqs. 1–2), mHF Euclidean distance (Eqs. 3–4), closeness coefficient E_j' (Eq. 5)Pairwise comparison (eigenvalue)Pairwise comparison (best-to-others + others-to-worst vectors), LPInformation-theoretic objective weighting (Shannon entropy)
开创性文献Akram, M., Adeel, A., Alcantud, J. C. R. (2019). Multi-Criteria Group Decision-Making Using an m-Polar Hesitant Fuzzy TOPSIS Approach. Symmetry (MDPI) DOI ↗Saaty, T. L. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation. McGraw-Hill, New York ISBN: 978-0070543713Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega DOI ↗Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal DOI ↗
别名
相关3888
摘要MPF-HF-TOPSIS (m-Polar Hesitant Fuzzy TOPSIS (Akram, Adeel & Alcantud 2019, Symmetry 11(6):795) — multi-criteria group decision-making by extending TOPSIS to the m-polar hesitant fuzzy (mHF) set framework; pole-wise mHPIS/mHNIS extraction, mHF Euclidean distance and closeness coefficient ranking) is a ranking multi-criteria decision-making (MCDM) method introduced by Akram, M., Adeel, A., Alcantud, J. C. R. in 2019. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.AHP (Analytic Hierarchy Process) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Saaty, T. L. in 1980. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.BWM (Best-Worst Method) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Rezaei, J. in 2015. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.ENTROPY (Shannon Entropy Weighting Method) is a weight objective multi-criteria decision-making (MCDM) method introduced by Shannon, C. E. in 1948. 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: MPF-HF-TOPSIS · AHP · BWM · ENTROPY. 于 2026-06-19 检索自 https://scholargate.app/zh/compare