Adaptive Fuzzy Morphological Filtering of Impulse Noisein Images
Multidimensional Systems and Signal Processing
Connections between binary, gray-scale and fuzzy mathematical morphologies
Fuzzy Sets and Systems
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
Fuzzy lattice reasoning (FLR) classifier and its application for ambient ozone estimation
International Journal of Approximate Reasoning
Size-density spectra and their application to image classification
Pattern Recognition
A general framework for fuzzy morphological associative memories
Fuzzy Sets and Systems
Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality
Journal of Mathematical Imaging and Vision
Generalized fuzzy morphological operators
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Journal of Mathematical Imaging and Vision
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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 postulated form. This paper develops fuzzy Minkowski algebra, with special emphasis on fitting characterizations of fuzzy erosion and opening, examines key properties of the indicator function, and provides fuzzy extensions of the basic binary Matheron representations for openings and increasing, translation-invariant operators