Formal Concept Analysis (FCA) is a mathematical eld rooted in lattice and order theory which, although being of such a theoretical nature, has proved to be of interest to various applied elds such as Knowledge Discovery and Data Mining, Database Theory, Data Visualization, and many others. The 13th International Conference on Formal Concept Analysis (ICFCA) took place from the 23th to the 26th of June, 2015 in Nerja (Malaga), Spain, organized by members of the Universidad de Malaga. The International Workshop on Formal Concept Analysis and Applications (FCA&A) was organized in conjunction to ICFCA, and consisted of the seven works included in this volume. Our deepest gratitude goes to all the authors of submitted papers, the Program Committee members, and the external reviewers. Working with the e cient and capable team of local organizers was a constant pleasure. We are deeply indebted to all of them for making this conference a successful forum on FCA. Last, but not least, we are most grateful to the organizations that sponsored this event: the Universidad de Malaga, Andaluc a Tech (International Campus of Excellence), the Patronato de Turismo de la Costa del Sol and the Area de Turismo del Ayuntamiento de Nerja, all in Spain. Finally, we would like to emphasize the great help of EasyChair for making the technical duties easier.