Biomedical databases or repositories have evidence-based scientific information. Protecting such documents from tampering or non-repudiation is very important. The traditional techniques for the same have limitations in distributed environments. Scientific contributions are to be safeguarded, which is a challenging problem. Blockchain is a promising technology that can support distributed ledger of transactions and thus is suitable for protecting biomedical repositories. Therefore, this paper aims to investigate the present state of the art in protecting biomedical databases with integrity and non-repudiation through fuzzy method. BCT-based solutions framework is proposed to ensure data integrity of retrieved articles and non-repudiation. The scope of the paper is confined to developing a framework that safeguards biomedical repositories across the globe through fuzzy method. It is achieved using BCT and a query notary service to optimize the data integrity of retrieved biomedical documents and non-repudiation. Besides, the proposed research also focuses on supporting smart contracts that will be flexible and make the framework dynamic with changing requirements from time to time. In the performance analysis, the proposed BCT-based framework is effective in calculating the response time based on the number of users, which varies from 5 to 100 based on the variation of document size from 5 MB, 10 MB, 20 MB, and 30 MB by comparing the other existing algorithms such as Medblock and Medshare.