New journal paper: Connecting concept lattices with bonds induced by external information

The work Connecting concept lattices with bonds induced by external information has been published in Information Sciences, vol. 648, november 2023, article 119498.

Abstract:

In Formal Concept Analysis (FCA), \mathcal L-bonds represent relationships between \mathcal L-formal contexts. Choosing the appropriate bond between \mathcal L-fuzzy formal contexts is an important challenge for its application in recommendation tasks. Recent work introduced two constructions of bonds, given by direct products of two \mathcal L-fuzzy formal contexts, and showed their usefulness in a particular application. In this paper, we present further theoretical and experimental results on these constructions; in particular, we provide extended interpretations of both rigorous and benevolent concept-forming operators, introduce new theoretical properties of the proposed bonds to connect two concept lattices given external information, and finally present the experimental study of the upper bounds.

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