A general axiomatic theory of intrinsically fuzzy mathematical morphologies

  title={A general axiomatic theory of intrinsically fuzzy mathematical morphologies},
  author={Divyendu Sinha and Edward R. Dougherty},
  journal={IEEE Trans. Fuzzy Systems},
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

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Triangular norms as a Tool for Constructing Fuzzy Mathematical Morphology , ” in Proc . EURASIP Cant Math . Morphology Applicat Mathematical Morphology on Fuzzy Sets

P. Sinha

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