Isotone Galois connections and concept lattices with hedges

We study isotone fuzzy Galois connections and concept lattices parameterized by truth-stressing hedges. Isotone fuzzy Galois connections and concept lattices provide an alternative to antitone fuzzy Galois connections and concept lattices which are the foundational structures for formal concept analysis of data with fuzzy attributes. We demonstrate that hedges enable us to control the number of fixed points of Galois connections, i.e. collections of objects and attributes which represent interesting clusters in data. In addition, we present properties of isotone connections with hedges, including their axiomatization, and describe the structure of the associated concept lattices.