FCA is a mathematical formalism having many applications in data mining and knowledge discovery. Originally it deals with binary data tables. However, there is a number of extensions that enrich standard FCA. In this paper we consider two important extensions: fuzzy FCA and pattern structures, and discuss the relation between them. In particular we introduce a scaling procedure that enables rep...

We present an outline of a process by which operational software requirements specifications can be written for Formal Concept Analysis (FCA). The Z notation is used to specify the FCA model and the formal operations on it. We posit a novel approach whereby key features of Z and FCA can be integrated and put to work in contemporary software development, thus promoting operational specification ...

Formal Concept Analysis (FCA) has been applied to the task of document retrieval in many different ways. In this paper we present a new document management tool, based on FCA and aimed at facilitating the retrieval of documents and the understanding of the structure of collections of standard documents such as PDF, HTML or Word files. The user interface is designed to allow easy access to the t...

A novel technique for the analysis of fluorescence fluctuation experiments is introduced. Fluorescence cumulant analysis (FCA) exploits the factorial cumulants of the photon counts and resolves heterogeneous samples based on differences in brightness. A simple analytical model connects the cumulants of the photon counts with the brightness epsilon and the number of molecules N in the optical ob...

Correlated motions in biomolecules are often essential for their function, for example, allosteric signal transduction or mechanical/thermodynamic energy transport. Principal component analysis (PCA) is a widely used method to extract functionally relevant collective motions from a molecular dynamics (MD) trajectory. Being based on the covariance matrix, however, PCA detects only linear correla...

The endogenous cannabinoid (endocannabinoid) system plays an important role in fear-conditioned analgesia (FCA) and expression and extinction of conditioned fear. The hippocampus has an established role in both pain and conditioned fear and is a substrate for endocannabinoid activity. This study aimed to investigate the role of the endocannabinoid system in the ventral hippocampus (vHip) in FCA...

Preface Formal Concept Analysis (FCA) is a mathematically well-founded theory aimed at data analysis and classification. FCA allows one to build a concept lattice and a system of dependencies (implications) which can be used for many AI needs, e.g. knowledge processing involving learning, knowledge discovery, knowledge representation and reasoning, ontology engineering, as well as information r...

Multi-object spectroscopy (MOS) instruments, such as the Two-degree Field (2dF) facility of the Anglo-Australian Observatory (AAO), have facilitated large-scale redshift surveys. Yet despite their acclaim, instrument design has been suspected of introducing subtle selection effects into surveys. Investigation into these selection effects has been overshadowed by instrument complexity. We identi...

Previous work has demonstrated a straightforward mapping from Conceptual Graphs (CGs) to Formal Concept Analysis (FCA), and the combined benefits these types of Conceptual Structures bring in capturing and reasoning about the semantics in system design. As in that work, a CGs Transaction Model (or `Transaction Graph’) exemplar is used, but in the form of a richer Financial Trading (FT) case stu...

A 24-h direct plating method for fecal coliform enumeration with a resuscitation step (preincubation for 2 h at 37 +/- 1 degrees C and transfer to 44 +/- 1 degrees C for 22 h) using fecal coliform agar (FCA) was compared with the 24-h standardized violet red bile lactose agar (VRBL) method. FCA and VRBL have equivalent specificities and sensitivities, except for lactose-positive non-fecal colif...