运筹与管理 ›› 2020, Vol. 29 ›› Issue (12): 59-66.DOI: 10.12005/orms.2020.0314
王磊1,2, 陶刘芹2
收稿日期:
2019-01-15
出版日期:
2020-12-25
作者简介:
王磊(1978-),男,黑龙江鸡西人,副教授,博士,研究方向:不确定性决策理论与方法,模糊微分系统.陶刘芹(1990-),女,河南开封杞县人,硕士研究生,研究方向:模糊决策。
基金资助:
WANG Lei1,2, TAO Liu-qin2
Received:
2019-01-15
Online:
2020-12-25
摘要: 针对决策信息为Picture模糊数的多属性决策问题,将经典范畴内的几何Heronian平均算子和幂几何算子结合,提出了Picture模糊幂几何Heronian平均(PFPGHM)算子与Picture模糊加权幂几何Heronian平均(PFWPGHM)算子。该类算子不仅能体现待集结数据间的关联性,而且还能反映决策过程中信息的整体性,降低了与整体信息偏差较大的待集结数据对决策结果的影响。推导其数学表达式,证明相关性质。提出了基于PFWPGHM算子的多属性决策方法,通过决策实例分析了参数p和q对决策结果的影响,并对比分析新方法与现存的决策方法,进而表明所研究方法的可行性与优点。
中图分类号:
王磊, 陶刘芹. Picture模糊幂几何Heronian平均算子及其在多属性决策中的应用[J]. 运筹与管理, 2020, 29(12): 59-66.
WANG Lei, TAO Liu-qin. Picture Fuzzy Power Geometric Heronian Mean Operators and Their Application to Multi-Criteria Decision Making[J]. Operations Research and Management Science, 2020, 29(12): 59-66.
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