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中文摘要：
文章给出了广义区间值模糊软集的矩阵形式,基于区间值模糊数的算术加权平均算子,研究了广义区间值模糊软矩阵序列的算术加权平均算子。然后,给出了区间值模糊数的得分函数表达式,进而定义了广义区间值模糊软矩阵的得分矩阵。利用广义区间值模糊软集的标准化得分矩阵定义了它的加权比较矩阵。最后,基于以上几种矩阵,给出了具体的广义区间值模糊软集环境下的群决策算法,并且通过实例验证了算法的可行性。
英文摘要：
The matrix form of generalized interval-valued fuzzy soft sets is first presented, Based on the arithmetic weighted average operator of interval-valued fuzzy numbers, the arithmetic weighted average operator of generalized interval-valued fuzzy soft sets is investigated. Then, the score function of interval-valued fuzzy numbers is proposed, and the score matrix of generalized interval-valued fuzzy soft sets are defined. Utilizing the normalized score matrix of generalized interval-valued fuzzy soft sets, its weighted comparison matrix is defined. Finally, based on these kinds of matrixes, group decision making method under the envi- ronment of generalized interval-valued fuzzy soft sets is given and a practical example is analyzed to verity the reasonability of the approach.
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