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The problem of association rule mining has gained considerable prominence in the data mining community for its use as an important tool of knowl-edge discovery from large-scale databases. And there has been a spurt of research activities around this problem. Traditional association rule mining is limited to intra-transaction. Only recently the concept of N-dimensional inter-transaction as-sociation rule (NDITAR) was proposed by H.J. Lu. This paper modifies and extends Lu’s definition of NDITAR based on the analysis of its limitations, and the general-ized multidimensional association rule (GMDAR) is subsequently introduced, which is more general, flexible and reasonable than NDITAR.