Internet of Things (IoT), is the comprehensive interconnection systems of computational, networking, and physical devices with the important goal of providing proactive and personalized services efficiently. The foundation of such services is big data integration and processing among various devices, which brings important challenges, including data fusion, transferring, and sharing of computational results. On the other hand, decentralized blockchain platforms provide novel technologies for reliable IoT data integration and processing. In addition, to facilitate decentralization and distribution of IoT big data, tensor-train (TT), as a tensor decomposition method, can play a vital role. Therefore, in this article, a TT-based Permissioned-Private $(P^{2})$ blockchain is proposed to realize the organization, integration, sharing, and applications of IoT data for intelligent IoT services. To demonstrate the performance of the proposed method, case studies with IoT data are carried out on the permissioned-private chain platform to measure its performance.