This paper proposes a decentralized adjustable robust operation model achieving the coordinated operation between an active distribution network (ADN) and microgrids (MGs). Thanks to the autonomous characteristic and heterogeneity of the individual agents in ADNs with multi-MGs, we develop a tailored alternating direction method of multipliers (ADMM)based fully decentralized framework. The linear decision rules are utilized to reformulate the microgrid two-stage adjustable robust operation problem as a computationally tractable solution such that the proposed adjustable robust extension of decentralized ADMM is capable of handling renewable energy uncertainties. The numerical results illustrate the effectiveness of the proposed model.