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The selection of vendors is an important aspect of strategic management and operational decision making. The methods and process of vendor selection have undergone great changes during the past years, and the criteria and methods of vendor selection have changed and improved to a large extent. The single-item, multiple-vendor selection problem is well studied in the vendor selection literature. However, only a few papers in the literature discuss the multiple-item, multiple-vendor selection problem. This paper presents a new rank-and-choose decision model for vendor selection problem. The proposed approach is illustrated by a numerical example.