A general axiomatic theory of intrinsically fuzzy mathematical morphologies

@article{Sinha1995AGA,
title={A general axiomatic theory of intrinsically fuzzy mathematical morphologies},
author={Divyendu Sinha and Edward R. Dougherty},
journal={IEEE Trans. Fuzzy Systems},
year={1995},
volume={3},
pages={389-403}
}

Intrinsic fuzzification of mathematical morphology is grounded on an axiomatic characterization of subset fuzzification. The result is an axiomatic formulation of fuzzy Minkowski algebra. Part of the Minkowski algebra results solely from the axioms themselves and part results from a specific postulated form of a subsethood indicator function. There exists an infinite number of fuzzy morphologies satisfying the axioms; in particular, there are uncountably many indicators satisfying the… CONTINUE READING

IEEE Trans. Acoustics, Speech, and Signal Processing • 1986

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