  The coarse Ricci curvature of graphs introduced by Ollivier as well as its
modification by Lin-Lu-Yau have been studied from various aspects. In this
paper, we propose a new transport distance appropriate for hypergraphs and
study a generalization of Lin-Lu-Yau type curvature of hypergraphs. As an
application, we derive a Bonnet-Myers type estimate for hypergraphs under a
lower Ricci curvature bound associated with our transport distance. We remark
that our transport distance is new even for graphs and worthy of further study.
