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What is an FCA concept?

April 26, 2017concept FCA

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What is an FCA concept?

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FCA concept is a subset of objects and a subset of attributes, where the subset of attributes precisely describes the set of objects (and dually, the subset of objects precisely covers the subset of attributes). A subset of objects is said to be concept extent while the subset of attributes is said to be the concept intent. This definition means that if an additional object is added to the concept extent then we have to add also attributes to cover this new set of objects (otherwise it is not an FCA concept). Dually, if we remove some attribute from the concept intent then we have also remove some objects (otherwise it is not an FCA concept).