Computer Vision, Graphics, and Image Processing
Image Analysis Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamentals of digital image processing
Fundamentals of digital image processing
Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Morphological Shape Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Why mathematical morphology needs complete lattices
Signal Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzification of set inclusion: theory and applications
Fuzzy Sets and Systems
Topographic distance and watershed lines
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Elements of intuitionistic fuzzy logic. Part I
Fuzzy Sets and Systems
The watershed transform: definitions, algorithms and parallelization strategies
Fundamenta Informaticae - Special issue on mathematical morphology
Intuitionistic fuzzy sets and L-fuzzy sets
Fuzzy Sets and Systems
Remarks on the conjunctions, disjunctions and implications of the intuitionistic fuzzy logic
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Computer and Robot Vision
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision
Inf-Semilattice Approach to Self-Dual Morphology
Journal of Mathematical Imaging and Vision
Connections between binary, gray-scale and fuzzy mathematical morphologies
Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Yin Yang bipolar logic and bipolar fuzzy logic
Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Informatics and computer science intelligent systems applications
Lattice Image Processing: A Unification of Morphological and Fuzzy Algebraic Systems
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Information Sciences: an International Journal
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
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
Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Fuzzy Sets and Systems
Implicators based on binary aggregation operators in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Morphological corner detector using paired triangular structuring elements
Pattern Recognition
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
Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
Generalized fuzzy morphological operators
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Computing with Words: Zadeh, Turing, Popper and Occam
IEEE Computational Intelligence Magazine
A general axiomatic theory of intrinsically fuzzy mathematical morphologies
IEEE Transactions on Fuzzy Systems
Design and analysis of fuzzy morphological algorithms for image processing
IEEE Transactions on Fuzzy Systems
On the representation of intuitionistic fuzzy t-norms and t-conorms
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 1, Forward Problems
IEEE Transactions on Fuzzy Systems
Interval Type-2 Fuzzy Logic Systems Made Simple
IEEE Transactions on Fuzzy Systems
Implicative Fuzzy Associative Memories
IEEE Transactions on Fuzzy Systems
Discrete Interval Type 2 Fuzzy System Models Using Uncertainty in Learning Parameters
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 2, Inverse Problems
IEEE Transactions on Fuzzy Systems
Segmenting a low-depth-of-field image using morphological filters and region merging
IEEE Transactions on Image Processing
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
Hi-index | 0.00 |
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory that give rise to fuzzy mathematical morphology (FMM). From a mathematical point of view, FMM relies on the fact that the class of all fuzzy sets over a certain universe forms a complete lattice. Recall that complete lattices provide for the most general framework in which MM can be conducted.The concept of $\mathbb{L}$ -fuzzy set generalizes not only the concept of fuzzy set but also the concepts of interval-valued fuzzy set and Atanassov's intuitionistic fuzzy set. In addition, the class of $\mathbb{L}$ -fuzzy sets forms a complete lattice whenever the underlying set $\mathbb{L}$ constitutes a complete lattice. Based on these observations, we develop a general approach towards $\mathbb{L}$ -fuzzy mathematical morphology in this paper. Our focus is in particular on the construction of connectives for interval-valued and intuitionistic fuzzy mathematical morphologies that arise as special, isomorphic cases of $\mathbb{L}$ -fuzzy MM. As an application of these ideas, we generate a combination of some well-known medical image reconstruction techniques in terms of interval-valued fuzzy image processing.