The purpose of this paper is to clarify in the framework of Temporal Concept Analysis the distinction between the notion of the dimension of time and the one-dimensionality of life tracks of simple objects. The reader is led to the central problems by many examples.

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Triadic formal concept analysis has become a popular research direction, since triadic relations give natural models of many data collections. In this paper we address the problem of selecting most interesting concepts by proposing triadic stability indices.

Our concern is the explanation generation in a representation based on contextual categorization. We point out that the explicit consideration of the context is necessary for the generation of relevant explanations. We present how the model captures the context necessary for explanation and we report some results compatible with the hypothesis that explanation is based on categorical networks a...

Chu connections and back diagonals are introduced as morphisms for distributors between categories enriched in a small quantaloid Q. These notions, meaningful for closed bicategories, dualize the constructions of arrow categories and the Freyd completion of categories. It is shown that, for a small quantaloid Q, the category of complete Q-categories and left adjoints is a retract of the dual of...

Within formal concept analysis, attribute exploration is a powerful tool to semi-automatically check data for completeness with respect to a given domain. However, the classical formulation of attribute exploration does not take into account possible errors which are present in the initial data. To remedy this, we present in this work a generalization of attribute exploration based on the notio...

A review of some popular fuzzy cluster validity indices is given. An index that is based on the generalization of silhouettes to fuzzy partitions is compared with the reviewed indices in conjunction with fuzzy c-means clustering.

The paper presents a preliminary study on basic level of concepts in the framework of formal concept analysis (FCA). The basic level of concepts is an important phenomenon studied in the psychology of concepts. We argue that this phenomenon may be utilized in FCA for selecting important concepts. In the other direction, we argue that FCA provides a simple framework for studying the phenomenon i...

Formal Concept Analysis (FCA) is a theoretical framework which structures a set of objects described by properties. In order to migrate software product variants which are considered similar into a product line, it is essential to identify the common and the optional features between the software product variants. In this paper, we present an approach for feature location in a collection of sof...

In his grammar of ancient Sanskrit, Pān. ini represents the phonological classes as intervals of a list. This representation method and especially the actual list constructed by Pān. ini, which is called the Śivasūtras, earns universal admiration. The legend says that god Śiva revealed the Śivasūtras to Pān. ini in order to let him start developing his grammar of Sanskrit. A question still disc...