A Fresh View on Fuzzy Formal Concept Analysis and Mathematical Morphology
نویسندگان
چکیده
In this paper we discuss how biresiduations provide a unifying paradigm for fuzzy formal concept analysis and mathematical morphology. In particular we provide constructions of morphological operators such as dilation and erosion within the framework of convolution algebras of action networks (also known as small covariant categories) over join complete semirings. This unifies and generalizes previous contributions in mathematical morphology, such as the work of Isabelle Bloch. Further we show how decomposition, factorization, and hedges naturally align themselves in the framework of fuzzy formal concept analysis.
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