Lattice fuzzy transforms from the perspective of mathematical morphology
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Publication:1677822
DOI10.1016/j.fss.2015.09.018zbMath1374.06011OpenAlexW2176465323MaRDI QIDQ1677822
Publication date: 13 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2015.09.018
dilationopeningadjunctionresiduated latticeerosionstructuring elementclosingmathematical morphology on complete lattices\(\mathbb{L}\)-fuzzy mathematical morphologylattice fuzzy transformstructuring function
Complete lattices, completions (06B23) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Lattices (06B99)
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Cites Work
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- Towards a higher degree \(F\)-transform
- Fuzzy transforms of higher order approximate derivatives: A theorem
- A linguistic approach to time series modeling with the help of F-transform
- Morphological perceptrons with competitive learning: lattice-theoretical framework and constructive learning algorithm
- On the role of complete lattices in mathematical morphology: from tool to uncertainty model
- Storage and recall capabilities of fuzzy morphological associative memories with adjunction-based learning
- Concept lattices of isotone vs. antitone Galois connections in graded setting: mutual reducibility revisited
- Why mathematical morphology needs complete lattices
- A general framework for fuzzy morphological associative memories
- Fuzzy logics based on \([0,1)\)-continuous uninorms
- The concept of a linguistic variable and its application to approximate reasoning. I
- Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic
- \({\mathcal T}\)-partitions
- Uninorm aggregation operators
- Lattice-valued logic. An alternative approach to treat fuzziness and incomparability
- Decomposition of mappings between complete lattices by mathematical morphology. I: General lattices
- Intuitionistic fuzzy sets. Theory and applications
- Inf-semilattice approach to self-dual morphology
- Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of \(\mathbb{L}\)-fuzzy mathematical morphology
- Mathematical morphology on bipolar fuzzy sets: general algebraic framework
- Defining belief functions using mathematical morphology - application to image fusion under imprecision
- Fuzzy transforms: theory and applications
- L-fuzzy sets
- Lattice image processing: a unification of morphological and fuzzy algebraic systems
- The algebraic basis of mathematical morphology
- An introduction to bipolar representations of information and preference
- Analysis of seasonal time series using fuzzy approach
- SPATIALLY ADAPTIVE MORPHOLOGICAL IMAGE FILTERING USING INTRINSIC STRUCTURING ELEMENTS
- Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning
- Dilation and Erosion of Spatial Bipolar Fuzzy Sets
- The algebraic basis of mathematical morphology I. Dilations and erosions
- Mathematical Morphology: A Modern Approach in Image Processing Based on Algebra and Geometry
- THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 1: BASIC CONCEPTS
- REPRESENTABILITY IN INTERVAL-VALUED FUZZY SET THEORY
- Anisotropic Morphological Filters With Spatially-Variant Structuring Elements Based on Image-Dependent Gradient Fields
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