Formal concept analysis of higher order

The second order formal context is a formal context such that its object and attribute sets are disjoint unions of object and attribute sets of external formal contexts. Every subset of object or attribute set will be evaluated from concept lattice of corresponding external formal context. The paper provides a method how to compute such second order formal concepts by using of bonds between external formal contexts or by using of heterogeneous formal contexts methods. Last part of the paper shows how this structure generalizes homogenic fuzzy formal context and its derivation operators. 1 Motivation example Imagine the following situation as a motivation. Lets have a group of people that everybody knows each other (schoolmates, co-workers, etc.). All of them are going to travel somewhere together and you (as an organizer of the trip) would like to know their requirements for accommodation. Consider the following formal context. Set of objects represents a group of co-workers (Anna, Bob...

• Type: Journal
• Year: 2016
• Where: IJGS
• Authors: Ondrej Kridlo, Stanislav Krajci, L'ubomír Antoni
• Keywords: IJGS 2016