Group decision making with incomplete intuitionistic multiplicative preference relations

Abstract

Intuitionistic multiplicative preference relations (IMPRs) have been widely applied in decision making for their ability to efficiently express the uncertainty of information. This paper investigates the decision making with incomplete IMPRs. First, a new consistency of incomplete IMPRs is defined. Then, we present some optimization models for estimating missing values by maximizing the consistency level. After that, the group IMPR is derived by using membership degrees in individual intuitionistic multiplicative judgments. Subsequently, a transformation method is offered to build a consistent IMPR through a normalized intuitionistic fuzzy priority weight vector. Moreover, a model is presented to get intuitionistic fuzzy priority weights. Finally, we propose a group decision making (GDM) method with incomplete IMPRs. A practical GDM problem on venue selection for communication drills is offered to indicate the specific application of main theoretical results.