Bidirectional associative memories
IEEE Transactions on Systems, Man and Cybernetics
Self-organization and associative memory: 3rd edition
Self-organization and associative memory: 3rd edition
Why mathematical morphology needs complete lattices
Signal Processing
Neurocomputing
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Fuzzy neural networks and neurocomputations
Fuzzy Sets and Systems
Associative neural memories
A first course in fuzzy logic
Triangular norms on product lattices
Fuzzy Sets and Systems - Special issue on triangular norms
Morphological bidirectional associative memories
Neural Networks
Fuzzy lattice neurocomputing (FLN) models
Neural Networks
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Inf-Semilattice Approach to Self-Dual Morphology
Journal of Mathematical Imaging and Vision
An Introduction to Morphological Neural Networks
ICPR '96 Proceedings of the International Conference on Pattern Recognition (ICPR '96) Volume IV-Volume 7472 - Volume 7472
Journal of Mathematical Imaging and Vision
Image Processing - Principles and Applications
Image Processing - Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory: Computational Intelligence and Soft Computing Applications (Studies in Computational Intelligence)
Adjacency lattices and shape-tree semilattices
Image and Vision Computing
A general framework for fuzzy morphological associative memories
Fuzzy Sets and Systems
Modus ponens and modus tollens in discrete implications
International Journal of Approximate Reasoning
Handbook of Granular Computing
Handbook of Granular Computing
Fuzzy Systems Engineering: Toward Human-Centric Computing
Fuzzy Systems Engineering: Toward Human-Centric Computing
Logic-oriented neural networks for fuzzy neurocomputing
Neurocomputing
Logic-based fuzzy networks: A study in system modeling with triangular norms and uninorms
Fuzzy Sets and Systems
A class of sparsely connected autoassociative morphological memories for large color images
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
On the Decomposition of Interval-Valued Fuzzy Morphological Operators
Journal of Mathematical Imaging and Vision
A lattice matrix method for hyperspectral image unmixing
Information Sciences: an International Journal
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
On fuzzy associative memory with multiple-rule storage capacity
IEEE Transactions on Fuzzy Systems
Smooth associative operations on finite ordinal scales
IEEE Transactions on Fuzzy Systems
Implicative Fuzzy Associative Memories
IEEE Transactions on Fuzzy Systems
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
Fuzzy neural control of voice cells in ATM networks
IEEE Journal on Selected Areas in Communications
Morphological associative memories
IEEE Transactions on Neural Networks
Fuzzy lattice neural network (FLNN): a hybrid model for learning
IEEE Transactions on Neural Networks
Automatic target detection using entropy optimized shared-weight neural networks
IEEE Transactions on Neural Networks
Lattice algebra approach to single-neuron computation
IEEE Transactions on Neural Networks
Face recognition by applying wavelet subband representation and kernel associative memory
IEEE Transactions on Neural Networks
OR/AND neurons and the development of interpretable logic models
IEEE Transactions on Neural Networks
Adaptive fuzzy systems for backing up a truck-and-trailer
IEEE Transactions on Neural Networks
Improvements of Complex-Valued Hopfield Associative Memory by Using Generalized Projection Rules
IEEE Transactions on Neural Networks
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
An associative memory approach to medical decision support systems
Computer Methods and Programs in Biomedicine
Rough set theory applied to lattice theory
Information Sciences: an International Journal
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Implicative fuzzy associative memories (IFAMs) are single layer feedforward fuzzy neural networks whose synaptic weights and threshold values are given by implicative fuzzy learning. Despite an excellent tolerance with respect to either pasitive or negative noise, IFAMs are not suited for patterns corrupted by mixed noise. This paper presents a solution to this problem. Precisely, we first introduce the class of finite IFAMs by replacing the unit interval by a finite chain L. Then, we generalize both finite IFAMs and their dual versions by means of a permutation on L. The resulting models are referred to as permutation-based finite IFAMs (@p-IFAMs). We show that a @p-IFAM can be viewed as a finite IFAM, but defined on an alternative lattice structure (L,@?). Thus, @p-IFAMs also exhibit optimal absolute storage capacity and one step convergence in the autoassociative case. Furthermore, computational experiments revealed that a certain @p-IFAM, called Lukasiewicz @p"@m-IFAM, outperformed several other associative memory models for the reconstruction of gray-scale patterns corrupted by salt and pepper noise.