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In applied mathematics, lambda-connectedness deals with partial connectivity for a discrete space.
Assume that a function on a discrete space is given. A degree of connectivity will be defined to measure the connectedness of the space with respect to the function. It was invented to create a new method for image segmentation. The method has expanded to handle other problems related to uncertainty for incomplete information analysis.
For a digital image and a certain value of λ {\displaystyle \lambda } , two pixels are called λ {\displaystyle \lambda } -connected if there is a path linking those two pixels and the connectedness of this path is at least λ {\displaystyle \lambda }. λ {\displaystyle \lambda } -connectedness is an equivalence relation.