属性权重未知情形下的q阶orthopair犹豫模糊TOPSIS法  

Q-Rung Orthopair Hesitant Fuzzy TOPSIS Method Under Unknown Attribute Weigh

作　　者：金贵 周礼刚[1] 吴澎 刘欣悦 JIN Gui;ZHOU Ligang;WU Peng;LIU Xinyue(School of Mathematical Science,Anhui University,Hefei 230601,China;School of Business,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,合肥230601 [2]安徽大学商学院,合肥230601

出　　处：《计算机工程与应用》2022年第6期256-263,共8页Computer Engineering and Applications

基　　金：国家自然科学基金(71771001,71701001,71501002,71871001);安徽省自然科学基金杰出青年基金(1908085J03);安徽省学术和技术带头人及后备人选资助项目(2018H179);高校优秀青年人才支持计划项目(gxyq2019236)。

摘　　要：在多属性决策问题中,q阶orthopair犹豫模糊集可以有效地处理不确定信息。基于Theil不等系数,提出一种新的q阶orthopair犹豫模糊距离测度,并研究该距离测度的性质。针对属性权重完全未知的q阶orthopair犹豫模糊多属性决策问题,构建离差最大化的属性权重模型。基于该权重确定模型和q阶orthopair犹豫模糊距离测度,提出一种改进的q阶orthopair犹豫模糊TOPSIS法。通过能源发展案例说明该方法的可行性和有效性。In multi-attribute decision making, q-rung orthopair hesitant fuzzy set(q-ROHFS) can effectively deal with uncertain information. A new distance measure between q-ROHFS based on the Theil coefficient is proposed, and some properties associated with the distance measure are discussed. For q-rung orthopair hesitant fuzzy multi-attribute decisionmaking with unknown attribute weights, the attribute weights are determined by the maximum deviation attribute weight determination model. An improved TOPSIS method is developed by integrating the maximum deviation attribute weight determination model and the distance measure. An energy development example is provided to verify the practicability and effectiveness of the proposed method.

关 键 词：多属性决策问题 q阶orthopair犹豫模糊集 改进TOPSIS 离差最大化 

分 类 号：C934[经济管理—管理学]