This study extracted the major attributes of the competitiveness of services provided by port logistics networks from previous research and interviews with experts and, based on the attributes, analyzed the effects of change in the competitiveness of the Incheon Port. According to the results, services provided by port logistics networks were divided into facility conveniences, access conveniences, and decision conveniences. In the results on the integrated value of the competitiveness of logistics network among ports, competitiveness was high in order of Busan Port>Qigndao Port>Tianjin Port>Dalian Port>Incheon Port. Particularly in the results of scenario analysis, with the elevation of one or two factors of logistics network service, the Incheon Port was even inferior to the Dalian Port, which had the lowest competitiveness among the ports compared. In the results of reversed fuzzy analysis, the Incheon Port could maintain equal competitiveness with the Dalian Port by raising the service level of the logistics network by 25% for facility conveniences, by 8% for access conveniences, and by 1% for decision conveniences.