A logarithmic goal programming method for deriving priority weights from interval-valued intuitionistic preference relations with multiplicative transitivity

摘要

This paper defines multiplicatively normalized interval weights and consistent interval-valued intuitionistic preference relations based on multiplicative transitivity. A logarithmic goal programming method is proposed to generate priority weights from interval-valued intuitionistic preference relations. In order to compare priority weights, a ranking method is developed by introducing a possibility degree function. Finally, an illustrative numerical example is presented to demonstrate the feasibility and effectiveness of the proposed method.