Computer Vision, Graphics, and Image Processing
Threshold Superposition in Morphological Image Analysis Systems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Why mathematical morphology needs complete lattices
Signal Processing
Theoretical Aspects of Gray-Level Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzification of set inclusion: theory and applications
Fuzzy Sets and Systems
A note on the umbra transform in gray-scale morphology
Pattern Recognition Letters
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
A first course in fuzzy logic
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Foundations of Fuzzy Systems
Connections between binary, gray-scale and fuzzy mathematical morphologies
Fuzzy Sets and Systems
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Lattice Image Processing: A Unification of Morphological and Fuzzy Algebraic Systems
Journal of Mathematical Imaging and Vision
A novel approach to fuzzy rough sets based on a fuzzy covering
Information Sciences: an International Journal
A comparative study on multivariate mathematical morphology
Pattern Recognition
Strong law of large numbers for t-normed arithmetics
Fuzzy Sets and Systems
A general framework for fuzzy morphological associative memories
Fuzzy Sets and Systems
International Journal of Approximate Reasoning
Fuzzy skeleton by influence zones---Application to interpolation between fuzzy sets
Fuzzy Sets and Systems
Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality
Journal of Mathematical Imaging and Vision
Dilation and Erosion of Spatial Bipolar Fuzzy Sets
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Fuzzy random renewal process with queueing applications
Computers & Mathematics with Applications
Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Algebraic Properties of Adjunction-Based Fuzzy Rough Sets
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Fuzzy random renewal reward process and its applications
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Lattice fuzzy signal operators and generalized image gradients
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
On the role of complete lattices in mathematical morphology: From tool to uncertainty model
Information Sciences: an International Journal
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
Information Sciences: an International Journal
Nature-inspired framework for measuring visual image resemblance: A near rough set approach
Theoretical Computer Science
Hypercomplex Mathematical Morphology
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
An introduction to the kosko subsethood FAM
HAIS'10 Proceedings of the 5th international conference on Hybrid Artificial Intelligence Systems - Volume Part II
Duality vs adjunction and general form for fuzzy mathematical morphology
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
Journal of Mathematical Imaging and Vision
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part II
Some properties of T-independent fuzzy variables
Mathematical and Computer Modelling: An International Journal
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
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There exist several methods to extend binary morphology to grey-scale images. One of these methods is based on fuzzy logic and fuzzy set theory. Another approach starts from the complete lattice framework for morphology and the theory of adjunctions. In this paper, both approaches are combined. The basic idea is to use (fuzzy) conjunctions and implications which are adjoint in the definition of dilations and erosions, respectively. This gives rise to a large class of morphological operators for grey-scale images. It turns out that this class includes the often used grey-scale Minkowski addition and subtraction.