In information science, formal concept analysis is a principled way of deriving a concept hierarchy or formal ontology from a collection of objects and their properties. Each concept in the hierarchy represents the set of objects sharing the same values for a certain set of properties; and each sub-concept in the hierarchy contains a subset of the objects in the concepts above it. The term was introduced by Rudolf Wille in 1984, and builds on applied lattice and order theory that was developed by Birkhoff and others in the 1930s.
Formal concept analysis finds practical application in fields including data mining, text mining, machine learning, knowledge management, semantic web, software development, and biology.
... In his article Restructuring Lattice Theory (1982) initiating formal concept analysis as a mathematical discipline, Rudolf Wille starts from a discontent with the current lattice theory ... Hence, by its origins formal concept analysis aims at interdisciplinarity and democratic control of research ... It corrects the starting point of lattice theory during the development of formal logic in 19th century ...
... His most celebrated work is the invention of Formal concept analysis, a supervised machine learning technique that applies mathematical lattice theory to organize data based on objects and their ... Now officially retired, Wille continues to play an active leadership role in the concept lattice research community ... From 1983, he has been leader of the research group on Formal concept analysis and since 1993 Chairman of the "Ernst Schröder Center for Conceptual Knowledge Engineering" ...
Famous quotes containing the words analysis, formal and/or concept:
“Cubism had been an analysis of the object and an attempt to put it before us in its totality; both as analysis and as synthesis, it was a criticism of appearance. Surrealism transmuted the object, and suddenly a canvas became an apparition: a new figuration, a real transfiguration.”
—Octavio Paz (b. 1914)
“The conviction that the best way to prepare children for a harsh, rapidly changing world is to introduce formal instruction at an early age is wrong. There is simply no evidence to support it, and considerable evidence against it. Starting children early academically has not worked in the past and is not working now.”
—David Elkind (20th century)
“Teaching Black Studies, I find that students are quick to label a black person who has grown up in a predominantly white setting and attended similar schools as not black enough. ...Our concept of black experience has been too narrow and constricting.”
—bell hooks (b. c. 1955)