群决策中语言信息与其他4种偏好信息的一致化方法

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.

Study of Methods for Transforming Linguistic Information and Four Preference Information in Group Decision Making

The mutual transformation relations of linguistic judgment matrix and other four forms of preference information are researched in group decision making.The four forms of preference information are preference ordering,utility value,reciprocal judgment matrices and complementary judgment matrices.First,form the definition of preference information, mutual transformation methods of linguistic judgment matrix and other four forms of preference information are reviewed.New and more reasonable transformation equations are acquired.Then prove that when the linguistic judgment matrix has complete consistency, other four forms of preference information have complete consistency too.Finally,a numerical analysis is offered to show these methods are feasible and effective.