With the outbreak of COVID-19, Internet plus Healthcare has developed rapidly with a number of Internet plus Healthcare platforms emerging. The problem of doctor-patient trust is a key issue restricting the development of the Internet plus Healthcare, which has aroused extensive attention of scholars. The patient's perceived trust on the Internet plus Healthcare platform has the characteristics of subjectivity, ambiguity, and high perceived risk. Therefore, existing trust calculation method becomes inapplicable because these characteristics have not been considered. In order to solve this problem, this study extracts influencing factors of patient trust on the Internet plus Healthcare platform, gives a trust calculation method based on intuitionistic fuzzy set theory, and added a risk preference coefficient in order to integrate the characteristics of patients' high perceived risk into the proposed method. This method is conducive to the platform to provide patients with more accurate doctor recommendations.