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The efficient selection of relevant extents is an important issue for investigation in formal concept analysis. The notion of stability has been adopted for this reasoning. We present three different methods for evaluation of stability and we summarize the comparative remarks.

Concept maps have been widely put to educational uses. But concept maps in the past were limited in their assessment standards. Some only take concept nodes into consideration; other evaluation criteria use concept nodes as the basis, with relation links playing a minor role. To address this problem, this study proposes a new style of concept map, called weighted concept map, which assigns a we...

This study examined the effect that correlational attributes that promote concept formation gives to mere expsure effect for prototypes. Using the mere exposure (e.g., Zajonc, 1968) and the concept formation paradigms (e.g., Barsalou et al., 1999), Matsuda and Kusumi (2002, 2003) elucidated three points concerning. First, it was found out that concept formation with repeated exposure builds a p...

The paper presents results on factorization by similarity of fuzzy concept lattices with hedges. Factorization of fuzzy concept lattices including a fast way to compute the factor lattice was presented in our earlier papers. The basic idea is to have, instead of a whole fuzzy concept lattice, its factor lattice. The factor lattice results by factorizing the original fuzzy concept lattice by a s...

I argue that Vygotsky’s theory of concept formation (1986) is a powerful framework within which to explore how an individual at university level constructs a new mathematical concept. In particular, this theory is able to bridge the divide between an individual’s mathematical knowledge and the body of socially sanctioned mathematical knowledge. It can also be used to explain how idiosyncratic u...

Explicit visual representations of domain knowledge have the potential to support students engaged in scientific inquiry learning activities on an epistemic level. This can be facilitated using computational methods for the extraction of concepts from student generated knowledge artefacts such as hypotheses, concept maps, or wiki articles. We propose an application of this approach in the conte...

One of the main problems in FCA (especially in fuzzy setting) is to reduce a concept lattice to appropriate size to make it graspable and understandable. We generalize known results on the correspondence of block relations of formal contexts and complete tolerances on concept lattices to fuzzy setting. Using an illustrative example we show that the results can be used for reduction of fuzzy con...

The most general algebraic structure of truth-values considered in the theory of fuzzy concept analysis to evaluate the attributes and objects has been a lattice. However, in some examples arises the necessity of a more general structure. In this paper we investigate the use of multilattices as underlying set of truth-values for these attributes and objects.