INTERVAL LINGUISTIC FUZZY DECISION MAKING IN PERSPECTIVE OF PREFERENCE RELATIONS
研究了区间语言模糊偏好关系的一致性，提出了新定义和性质，构建了判断和推导一致性的编程模型，并针对不完整偏好关系补充缺失判断，最后设计了群体决策的交互流程。
Consistency analysis is a crucial topic for preference relations. This paper studies the consistency of interval linguistic fuzzy preference relations (ILFPRs) using the constrained interval linguistic arithmetic and introduces a new consistency definition. Then, several properties of this definition are researched. Meanwhile, the connection between this concept and a previous one is discussed. Following this concept, programming models for judging the consistency and for deriving consistent ILFPRs are constructed, respectively. Considering the case that incomplete ILFPRs may be obtained, a programming model for obtaining missing judgments following the consistency discussion is built. Afterwards, the consensus for group decision making (GDM) is studied and a model for adjusting individual ILFPRs to reach the consensus threshold is established. Consequently, an interactive procedure for GDM with ILFPRs is presented. A practical problem is provided to illustrate the utilization of the new algorithm and comparative discussion is offered.