We develop a Bayesian approach to concept learning for crowdsourcing applications. A probabilistic belief over possible concept definitions is maintained and updated according to (noisy) observations from experts, whose behaviors are modeled using discrete types. We propose recommendation techniques, inference methods, and query selection strategies to assist a user charged with choosing a conf...

Given its eminent role in student learning and development, it is important to understand how academic self-concept (i.e., how one perceives oneself in an academic context) is formed. Both internal and external comparisons are considered crucial antecedents: Students form their academic self-concept to a considerable extent by (externally) comparing themselves with others and by (internally) co...

We focus on two approaches to formal concept analysis (FCA) of data with fuzzy attributes recently proposed in the literature, namely, on the approach via hedges and the approach via thresholds. Both of the approaches present parameterized ways to FCA of data with fuzzy attributes. Our paper shows basic relationships between the two of the approaches. Furthermore, we show that the approaches ca...

In some cases, the relationship between an object set X and an attribute set Y is set up by means of a fuzzy context sequence. A particular case of this situation appears when we want to study the evolution in time of a fuzzy context. In this work, we deepen in the study of these situations. First we recover the fuzzy context sequence definition and the main results. After that, with the aid of...

In his seminal work Moral Notions, Julius Kovesi presents a novel account of concept formation. At the heart of this account is a distinction between what he terms the material element and the formal element of concepts. This paper elucidates his distinction in detail and contrasts it with other distinctions such as form-matter, universal-particular, genus-difference, necessary-sufficient, and ...

We describe the HR concept formation program which invents mathematical definitions and conjectures in finite algebras such as group theory and ring theory. We give the methods behind and the reasons for the concept formation in HR, an evaluation of its performance in its training domain, group theory, and a look at HR in domains other than group theory.

Presented is a reduction of fuzzy Galois connections and fuzzy concept lattices to (crisp) Galois connections and concept lattices: each fuzzy concept lattice can be viewed as a concept lattice (in a natural way). As a result, a simple proof of the characterization theorem for fuzzy concept lattices is obtained. The reduction enables us to apply the results worked out for concept lattices to fu...

This chapter argues that the computer-aided scientific knowledge discovery tool should facilitate scientific knowledge development through assisting scientists to build first-person knowledge and thirdperson knowledge. The chapter reviews cognitive theories of human knowledge construction and presents a hydrological modelling scenario as an exemplar of these concepts. A number of challenges for...

factors of educational ICT projects: A group concept mapping approach.