2015 **Abstract:** In this paper, we deal with suitable generalizations of the notion of bond between contexts, as part of the research area of Formal Concept Analysis. We study different generalizations of the notion of bond within the L-fuzzy setting. Specifically, given a formal context, there are three prototypical pairs of concept-forming operators, and this immediately leads to three possible versions of the notion of bond (so-called homogeneous bond wrt certain pair of conceptforming operators). The first results show a c…

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“…Concerning the fuzzy concept lattices, a categorical aspects of fuzzy concept lattices via generalized Chu spaces is investigated in the papers [14,15]. The L-fuzzy version of bonds was studied in [16] with respect to several concept forming operators or in [17,18], where its tight connection with generalized chu correspondence is discussed. In this case, an L-bond is defined as an L-valued multifunction, or it can be equivalently seen as an L-relation, such that the corresponding rows and columns form closed L-sets.…”

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“…Concerning the fuzzy concept lattices, a categorical aspects of fuzzy concept lattices via generalized Chu spaces is investigated in the papers [14,15]. The L-fuzzy version of bonds was studied in [16] with respect to several concept forming operators or in [17,18], where its tight connection with generalized chu correspondence is discussed. In this case, an L-bond is defined as an L-valued multifunction, or it can be equivalently seen as an L-relation, such that the corresponding rows and columns form closed L-sets.…”