吴越, 林志超, 周礼刚, 徐鑫, 薛明香.连续区间Pythagorean模糊相似测度及其多属性决策方法[J].重庆工商大学自然科学版,2019,36(5):63-68
连续区间Pythagorean模糊相似测度及其多属性决策方法
An Approach to Multi-attribute Group Decision Making Based on the Continuous Interval Pythagorean Fuzzy Similarity Measure
  
DOI:
中文关键词:  区间Pythagorean模糊集  C IVPFOWA算子  相似测度  多属性决策
英文关键词:interval Pythagorean fuzzy set  C-IVPFOWA operator  similarity measure  multi-attribute decision making
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作者单位
吴越, 林志超, 周礼刚, 徐鑫, 薛明香 安徽大学 数学科学学院,合肥 230601 
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中文摘要:
      针对基于连续区间Pythagorean模糊相似测度的多属性群决策问题,首先,提出连续区间Pythagorean模糊有序加权平均(C IVPFOWA)算子;然后定义一种新的连续区间Pythagorean模糊相似测度,并研究该相似测度的优良性质;接着,基于连续区间Pythagorean相似测度构建决策者权重和属性权重非线性优化模型,同时提出基于新的连续区间Pythagorean相似测度的多属性群决策方法;最后,通过智能家居工程案例验证所提出方法的可行性和有效性.
英文摘要:
      The purpose of this paper is to develop an approach to multi-attribute group decision making based on the continuous interval Pythagorean fuzzy similarity measure.Firstly, the continuous interval Pythagorean fuzzy ordered weighted average (C-IPFOWA) operator is presented, and then a new continuous interval Pythagorean fuzzy similarity measure is put forward.The properties of the similarity measure are also investigated.Then, based on the continuous interval Pythagorean similarity measure, two nonlinear optimization models to derive the weights of decision makers and attributes are constructed, respectively.Furthermore, a multi-attribute decision making based on the new continuous interval Pythagorean similarity measure is developed.Finally, the feasibility and effectiveness of the proposed method are verified by an example of intelligent home engineering.
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