An interpretation of the L-Fuzzy Concept Analysis as a tool for the Morphological Image and Signal Processing.
Cristina Alcalde, Ana Burusco, Ramón Fuentes-González · Concept Lattices and their Applications · 2012
In this work we are going to set up a new relationship be- tween the L-fuzzy Concept Analysis and the Fuzzy Mathematical Mor- phology. Specifically we prove that the problem of finding fuzzy images or signals that remain invariant under a fuzzy morphological opening or un- der a fuzzy morphological closing, is equal to the problem of finding the L-fuzzy concepts of some L-fuzzy context. Moreover, since the Formal Concept Analysis and the Mathematical Morphology are the particular cases of the fuzzy ones, the showed result has also an interpretation for binary images or signals.