Record linkage is the task of identifying which records from different data sources refer to the same entities. Without the common identification key among different databases, this task could be performed by comparison of corresponding fields (containing the information for identification) in records to link. To do this, many record linkage methods have been proposed in the last decades, like "WINKLER method" and "DUVALL method" among others.

There is an R package "fastLink" which implements "FELLEGI-SUNTER" algorithm but it does not implement WINKLER method!!

My question is : Could some one please provide references for either of these methods? And perhaps any packages in R, Python, Matlab, or SAS that could be helpful?

The R package stringdist can calculate various string distances based on edits (Damerau-Levenshtein, Hamming, Levenshtein, optimal sting alignment), qgrams (qgram, cosine, jaccard distance) or heuristic metrics (Jaro, Jaro-Winkler). This package doesn't do matching on its own but can be used to calculate string distances that you can use in a probabilistic matching framework.