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直觉模糊群决策中专家权重确定的一种精确方法

Accurate method of obtaining decision expert weights in intuitionistic fuzzy group decision making

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【作者】 周伟何建敏余德建

【Author】 ZHOU Wei,HE Jian-min,YU De-jian(School of Economics and Administration,Southeast University,Nanjing 211189,China)

【机构】 东南大学经济管理学院

【摘要】 在直觉模糊群决策中,一般通过赋权法对不同专家或决策者进行有效区分,相关研究多偏重等值赋权与主观赋权,但两者均存在不足.基于此,提出一种仅依靠非犹豫度(专家对属性的非犹豫程度意味着对该属性信息的掌握程度)的精确加权(AWD)方法,并证明了该方法的单调性与尺度不变性.在AWD方法基础上,提出FOAWA和IFOAWG算子,证明了新算子的幂等性、有界性与交换性.最后,通过算例展示了所提出方法的可行性和有效性.

【Abstract】 The weight-determined method is a good technique to distinguish different experts in intuitionistic fuzzy group decision making,such as the equal-weight method and the subjective weight-determined method.However,there are some puzzles in these two weight-determined methods.Therefore,an accurate weight-determined(AWD) method based on the membership and non-membership is proposed.The main idea of the AWD method is that putting larger weight into the expert with more attribute information.Then the monotonicity and the scale-invariance of the AWD method are investigated.Based on the AWD method,two intuitionistic fuzzy ordered accurate weighted aggregation operators are developed,and their properties are investigated in detail.Finally,a practical example is provided to illustrate the feasibility and effectiveness of the proposed method.

【基金】 国家973计划项目(2010CB328104-02);国家自然科学基金项目(71071034);江苏省普通高校研究生科研创新计划项目(CXZZ-0183);教育部博士研究生学术新人奖资助项目
  • 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2013年05期
  • 【分类号】C934
  • 【被引频次】27
  • 【下载频次】786
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