In location problems for logistics sector such as emergency logistics system, the fairness is an important goal for facility design. This paper considers an extension to the p-median model by changing the weights of individuals based on their utilities. Also, we define and formulate performance metrics of efficiency and fairness in facility location. A method is proposed for decision makers selecting their efficiency-fairness preference from the perspective of quantitative arguments. The method was tested on a real world data set from the distribution system at Shanghai provided by Alibaba data center.