The concept lattice corresponding to a context may be alternatively specified by means of attribute implications. One outstanding problem in formal concept analysis and other areas is the study of the equivalences between a given set of implications and its corresponding basis (notice that there exists a wide range of approaches to basis in the literature). In this work we introduce a method to...

This contribution discusses a formalization of the “negation of a concept”. The notion of “concept” has been successfully formalized in the early eighties and led to the theory of Formal Concept Analysis. Boole (1815-1864) developed a mathematical theory for human thought based on signs and classes. The formalization of the negation of concepts is needed in order to develop a mathematical theor...

Lessons from Australia Jodi Gardner and Karen Rowlingson March 2014 Key Findings The UK government has recently announced that the FCA (Financial Conduct Authority) must introduce some limitation on the cost of credit by January 2015. It has cited Australia as an example of a country where such a cap works well. However, Australia only implemented its interest rate cap in July 2013 and there ha...

We present a general form of attribute exploration, a knowledge completion algorithm from Formal Concept Analysis. The aim of our presentation is not only to extend the applicability of attribute exploration by a general description. It may also allow to view different existing variants of attribute exploration as instances of a general form, which may simplify theoretical considerations.

Identifying functions shared by genes responsible for cancer is a challenging task. This paper describes the preparation work for applying Formal Concept Analysis (FCA) to complex biological data. We present here a preliminary experiment using these data on a core context with the addition of domain knowledge. The resulting concept lattices are explored and some interesting concepts are discuss...

SearchSleuth is a program developed to experiment with the automated local analysis of Web search using formal concept analysis. SearchSleuth extends a standard search interface to include a conceptual neighborhood centered on a formal concept derived from the initial query. This neighborhood of the concept derived from the search terms is decorated with its upper and lower neighbors representi...

+ Examine key concepts that will be referred to throughout the book, such as working together, partnership and collaboration. + Use a concept analysis framework to analyse and explore key concepts and outline their distinguishing features. + Highlight similarities and differences between the concept of collaboration and the concept of partnership and contextualize these differences within the c...

Recently, the concept lattices working with the heterogeneous structures have been fruitfully applied in a fuzzy formal concept analysis. We present a situation under nonhomogeneous formal contexts and explore the bonds in a such nonhomogeneous case. This issue requires to formulate the alternative definition of a bond and to investigate the relationships between bonds and the particular formal...

In academia, many decisions are taken in committee, for example to hire people or to allocate resources. Genuine people often leave such meetings quite frustrated. Indeed, it is intrinsically hard to make multi-criteria decisions, selection criteria are hard to express and the global picture is too large for participants to embrace it fully. In this article, we describe a recruiting process whe...