Interval linguistic fuzzy decision making in perspective of preference relations

• Main Authors: Fanyong Meng, Jia Tang, Shaolin Zhang
• Format: Article
• Language: English
• Published: Vilnius Gediminas Technical University 2019-07-01
• Series: Technological and Economic Development of Economy
• Subjects: GDM; ILFPR; consistency; programming model; constrained interval linguistic arithmetic
• Online Access: https://tede.vgtu.lt/index.php/TEDE/article/view/10548

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.