With the increasing penetration of renewable energy and zero-emission vehicles (ZEVs), the integrated energy and transportation system (IETS) is considered a promising solution for achieving net-zero energy buildings (NZEBs). However, the tight coupling and the conflict of interests between the transportation and energy systems increase the difficulty of collaborative operation scheduling. Therefore, this paper proposes a multi-dimensional economy-durability (MDED) optimization method for IETS of NZEBs. The multidimensionality includes multiple subjects of energy, transportation, and IETS, and multiple time scales of day-ahead and intraday. In the day-ahead stage, the comprehensive cost-optimal scheduling strategy with joint intelligent parking lot (IPL) is constructed for the collaborative operation of IETS. In the intraday stage, two scheduling strategies are applied to satisfy the operation of the transportation and energy systems, respectively. For the transportation system, a coordinated scheduling strategy based on charging service satisfaction (CSS) is presented to coordinate ZEVs demands with diverse vehicle types and service manners. And for the energy system, a rolling optimization strategy based on a dynamic economy-health matrix (DEHM) is designed to track the day-ahead scheduling plan. The results indicate that the proposed method resolves the conflict between the charging needs and the comprehensive cost of the IETS system. In addition, the economic potential and coordination capability of fast charging services in IETS coordinated scheduling are verified. Finally, the proposed DEHM has significant advantages for the system cost and health compared to the conventional weighting matrix.