关键词: 语言偏好关系, 有序一致性, 加性一致性, 一致性指数, 决策算法, 数据库

Abstract: In view of the decision making problems that the Decision Maker（DM） provide their preference information by using linguistic labels, the definitions of order consistency and additive consistency of Linguistic Preference Relations（LPRs） are introduced. Then, the determination methods of additive consistent LPRs are studied, and the additive consistent induced?LPR is investigated. The concepts of consistency index and acceptable consistency of LPRs are also presented. In addition, based on the improving the consistency for LPRs, a decision making algorithm is developed to adjust unacceptably consistent LPR into an acceptably one, and the convergence of the proposed algorithm is studied. Finally, a practical application to selection of database system is demonstrated to show the rationality and effectiveness of the proposed algorithm.

Key words: linguistic preference relation, order consistency, additive consistency, consistency index, decision making algorithm, database