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Many-to-many (M-M) role transfers are generalized problems that occur normally in collaboration, management, and the operation of organizations. This paper extends our previous work on role transfer. It is the first attempt to formalize the M-M role-transfer problems with real-world management examples, analyze the different cases of M-M problems, design algorithms for all the cases, implement all the algorithms to provide solutions, and discuss the future work. The significant contribution of this paper is to demonstrate that role-transfer problems have definite solutions. The implementations and their results validate the proposed algorithms.