  Posets are discrete mathematical structures which are ubiquitous in a broad
range of data analysis and machine learning applications. Research connecting
posets to the data science domain has been ongoing for many years. In this
paper, a comprehensive review of a wide range of studies on data analysis and
machine learning using posets are examined in terms of their theory, algorithms
and applications. In addition, the applied lattice theory domain of formal
concept analysis will also be highlighted in terms of its machine learning
applications.
