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区间直觉模糊集多属性决策方法 被引量:10

Multicriteria Fuzzy Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Sets
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摘要 定义了区间直觉模糊集的加权算子和加权几何集成算子,介绍了现有的区间直觉模糊集的得分函数和精确函数.定义了一个新的精确函数,此函数弥补了已有函数的不足和缺陷,应用新定义的精确函数,提出了对区间直觉模糊集多属性决策问题进行决策的方法.最后以应用实例对该方法进行说明和验证. The interval-valued intuitionistic fuzzy weighted arithmetic average operator and interval-valued intuitionistic fuzzy weighted geometric average operator are defined. The score function and accuracy function for interval-valued intuitionistic fuzzy sets are introduced. A new accuracy function is defined. It overcome the defect of exiting accuracy functions and score functions. Based on the new accuracy function, a multicriteria fuzzy decision-making method for interval-valued intuitionistic fuzzy sets is presented. Finally, an example is used to illustrate the feasibility and effectiveness of the presented method.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第18期135-138,共4页 Mathematics in Practice and Theory
关键词 区间直觉模糊集 集成算子 精确函数 多属性决策 interval-valued intuitionistic fuzzy set aggregation operator accuracy function multiple attribute decision making
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参考文献5

  • 1Atanassov K. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1): 87-96.
  • 2Atanassov K, Gargov G. Interval-valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1989, 31(3): 343-349.
  • 3Jun Ye. Multicriteria fuzzy decision-making method based on a noval accuracy function under interval-valued intuitionistic fuzzy environment[J]. Expert Systems with Applications, 2009, 36: 6899-6902.
  • 4Kuo-Chen Huang, Gino K Yang. An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets[J]. Computer -Aided Design, 2008, 114: 103-113.
  • 5Atanassov K. Operator over interval-valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1994, 64: 159-174.

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