Privacy is a matter of considerable public concern in internet-based communications. In other words, it is sensed more with the growth of internet-based communications and the increasing number of connected users. This paper focuses on the blockchain-based retail markets. It presents a framework that allows retail market owners to change their retail markets' pseudonyms to a new ones and transfer their accumulated reputations to their new pseudonyms in an untraceable way so that no one can find a link between the transferred reputation and the previous retail market. The main idea is to assign the retail market reputation to a Non-Fungible Token (NFT) and anonymously transfer the NFT ownership to another owner. The presented method is named blockchain-based reputation transfer (BB-RT) and is designed using the two concepts of NFT and Signature of Knowledge (SoK) for providing an unknown and unlinkable transfer. The BB-RT framework provides security for retail markets, including unlinkable reputation transfer for removing retail markets' adversaries. Each retail market owner can prove its retail market's previous reputation in its new retail market. It is believed that the BB-RT framework can be applied in Distributed Autonomous Organization (DAO)-based markets (businesses) since markets' reputations are transferred without the help of a central manager. Finally, the mentioned BB-RT framework properties are analyzed.