Secure threshold multi authority attribute based encryption without a central authority

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A ciphertext-policy attribute-based encryption scheme with constant ciphertext length (2009, background): “There are some extended ABE schemes such as ABE schemes with the multi-authority [14, 22], an attribute-based broadcast encryption scheme [23], and a CP-ABE scheme with recipient anonymity [25].”
DAC-MACS: Effective Data Access Control for Multiauthority Cloud Storage Systems (2013, methodology): “…ﬁ rst proposes an extensive data access control scheme (EDAC-MACS), and then give the security Some cryptographic methods are proposed for the multiau-thority ABE problem [7]–[10], [26], [27], where there are multiple authorities coexist and users may have attributes from multiple authorities.”
Persona: an online social network with user-defined privacy (2009, background): “Multi-authority ABE [7, 23] removes the need for transitive key translations but requires each user to have a globally-unique identifier and the attribute set to be partitioned amongst the users.”
Decentralizing Attribute-Based Encryption (2011, background): “[40] give a threshold based scheme that is also somewhat decentralized.”
Improving privacy and security in multi-authority attribute-based encryption (2009, background): “’s scheme [10], since our scheme is secure against polynomially-many users, we sug-”