Linear programming models for deriving priority weights from interval-valued intuitionistic preference relations with multiplicative transitivity

It has been an increasing trend to develop multicriteria decision-making models with imprecise, uncertain, or vague decision data. An effective way to express a decision maker's (DM's) uncertain preference information is the use of interval-valued intuitionistic preference relations. In this paper, the concept of multiplicative consistent interval-valued intuitionistic preference relations is defined. Some simple and practical linear programming models are established for deriving priority interval weights based on interval-valued intuitionistic preference relations with multiplicative transitivity. Finally two illustrative numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed method.