群决策中语言信息与其他4种偏好信息的一致化方法

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研究语言信息与其他4种偏好信息(偏好次序,效用值,互反判断矩阵,互补判断矩阵)之间的相互转换问题.首先,根据各种偏好信息的实际意义,给出语言信息与他们之间的转换公式,并从理论上证明转换公式的合理性;其次,证明了若语言判断矩阵具有完全一致性,转换后的互反判断矩阵和互补判断矩阵也具有完全一致性;最后用实例验证了转换公式的有效性. Researching the conversion between linguistic information and other four kinds of preference information (preference order, utility value, reciprocal judgment matrix and complementary judgment matrix) .Firstly, according to the actual meaning of each kind of preference information, And prove the rationality of the conversion formula theoretically.Secondly, it is proved that if the linguistic judgment matrix is ​​completely consistent, the reciprocal judgment matrix and the complementary judgment matrix after conversion are also completely consistent. Finally, an example is used to verify The validity of the conversion formula.
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