Abstract: For the fuzzy multiple attribute decision making problems, in which the attribute values take the form of intuitionistic fuzzy sets and the attribute weights are known, the interval decision making method based on intuitionistic fuzzy sets is put forward based on the intuitionistic fuzzy arithmetic weighted averaging operator. The interval decision making function introduces the attitude index k, which can reflect the change of the decision maker's attitude, and the changes of decision-making information in the whole interval are considered with k changing from 0 to 1. Its advantage is that the past point judgment method is extended to the interval judgment method compareing with the score function and the closeness degrees based on the distance TOPSIS, which can avoid the loss of decision information and make decision-making more accurate and reasonable. Finally, a practical example shows the correctness, effectiveness and rationality of the proposed method with certain reference value.

Key words: intuitionistic fuzzy sets, arithmetic weighted averaging operator, decision making function, multiple attribute decision making

摘要： 针对属性值为直觉模糊集且属性权重已知的模糊多属性决策问题,本文基于直觉模糊算术加权平均算子,提出了一种基于直觉模糊集的全区间决策方法。全区间决策函数引入了态度指标k,从而可以反映决策者态度的变化,从0到1变化k值,可以在整个区间内挖掘决策信息的变化,与得分函数法和基于距离TOPSIS贴近度方法相比,将过去的点值判断延伸至全区间判断,避免了决策信息的丢失现象,决策更加准确合理。实例计算表明该方法的正确性、有效性和合理性,具有一定的推广借鉴价值。

关键词: 直觉模糊集, 算术加权平均算子, 决策函数, 多属性决策