We introduce a new approach to clustering categorical data: Condorcet clustering with a fixed number of groups, denoted α-Condorcet. As k-modes, this approach is essentially based on similarity and dissimilarity measures. The paper is divided into three parts: first, we propose a new Condorcet criterion, with a fixed number of groups (to select cases into clusters). In the second part, we propose a heuristic algorithm to carry out the task. In the third part, we compare α-Condorcet clustering with k-modes clustering. The comparison is made with a quality’s index, accuracy of a measurement, and a within-cluster sum-of-squares index. Our findings are illustrated using real datasets: the feline dataset and the US Census 1990 dataset.
A syllabus is a set of courses, their prerequisites and a set of rules defining the continuance of a student in an academic program. The manual verification of the possible contradictions between prerequisites and the set of rules is a difficult task due to the large number of possible cases. In this article we present the different stages in the verification of a syllabus, its modelling and analysis using Petri nets, and suggested ways in which this may be used by the university administration in the decision making process.
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