On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
The problem of linguistic approximation in clinical decision making
International Journal of Approximate Reasoning
Ordering, distance and closeness of fuzzy sets
Fuzzy Sets and Systems - Special issue on fuzzy data analysis
On the principles of fuzzy neural networks
Fuzzy Sets and Systems
Neural network processing of linguistic symbols using multi-level grading rule
Neural network processing of linguistic symbols using multi-level grading rule
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Direct approach processes in group decision making using linguistic OWA operators
Fuzzy Sets and Systems
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
A fusion approach for managing multi-granularity linguistic term sets in decision making
Fuzzy Sets and Systems
Explicitly representing expected cost: an alternative to ROC representation
Proceedings of the sixth ACM SIGKDD international conference on Knowledge discovery and data mining
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Principles of Neurocomputing for Science and Engineering
Principles of Neurocomputing for Science and Engineering
Fuzzy Switching and Automata: Theory and Applications
Fuzzy Switching and Automata: Theory and Applications
The Case against Accuracy Estimation for Comparing Induction Algorithms
ICML '98 Proceedings of the Fifteenth International Conference on Machine Learning
Granular computing in neural networks
Granular computing
The kappa statistic: a second look
Computational Linguistics
Information Sciences—Informatics and Computer Science: An International Journal
Precisiated natural language (PNL)
AI Magazine
Granular neural networks for land use classification
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Genetic granular classifiers in modeling software quality
Journal of Systems and Software
A model of granular data: a design problem with the Tchebyschev FCM
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Journal of the American Society for Information Science and Technology
Distance and similarity measures for fuzzy operators
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Interactive classification using a granule network
ICCI '05 Proceedings of the Fourth IEEE International Conference on Cognitive Informatics
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Information Sciences: an International Journal
Granular computing and dual Galois connection
Information Sciences: an International Journal
International Journal of Intelligent Systems
Group decision making based on multiple types of linguistic preference relations
Information Sciences: an International Journal
A method for group decision making with multi-granularity linguistic assessment information
Information Sciences: an International Journal
Information Sciences: an International Journal
A Ten-year Review of Granular Computing
GRC '07 Proceedings of the 2007 IEEE International Conference on Granular Computing
Is there a need for fuzzy logic?
Information Sciences: an International Journal
Communicating between information systems
Information Sciences: an International Journal
The structure of decomposable indistinguishability operators
Information Sciences: an International Journal
Entropy of Intuitionistic Fuzzy Set Based on Similarity Measure
ICICIC '08 Proceedings of the 2008 3rd International Conference on Innovative Computing Information and Control
Similarity Measure of Interval-Valued Fuzzy Sets and Application to Pattern Recognition
FSKD '08 Proceedings of the 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 01
ICMLA '08 Proceedings of the 2008 Seventh International Conference on Machine Learning and Applications
Computing with words in decision making: foundations, trends and prospects
Fuzzy Optimization and Decision Making
Evolving granular classification neural networks
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Discussion: From imprecise to granular probabilities
Fuzzy Sets and Systems
Information Sciences: an International Journal
A recurrent self-evolving interval type-2 fuzzy neural network for dynamic system processing
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Granular computing based on fuzzy similarity relations
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on Recent advances on machine learning and Cybernetics
Complex-fuzzy adaptive image restoration: an artificial-bee-colony-based learning approach
ACIIDS'11 Proceedings of the Third international conference on Intelligent information and database systems - Volume Part II
Complex fuzzy computing to time series prediction: a multi-swarm PSO learning approach
ACIIDS'11 Proceedings of the Third international conference on Intelligent information and database systems - Volume Part II
A measure based approach to the fusion of possibilistic and probabilistic uncertainty
Fuzzy Optimization and Decision Making
Complex fuzzy model with PSO-RLSE hybrid learning approach to function approximation
International Journal of Intelligent Information and Database Systems
A similarity measure for fuzzy rulebases based on linguistic gradients
Information Sciences: an International Journal
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Evolving fuzzy neural networks for supervised/unsupervised onlineknowledge-based learning
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the retranslation process in Zadeh's paradigm of computing with words
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Aggregation operators for linguistic weighted information
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Incomplete Multigranulation Rough Set
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A parametric model for fusing heterogeneous fuzzy data
IEEE Transactions on Fuzzy Systems
Two nonparametric models for fusing heterogeneous fuzzy data
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A 2-tuple fuzzy linguistic representation model for computing with words
IEEE Transactions on Fuzzy Systems
Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
IEEE Transactions on Fuzzy Systems
Fuzzy descriptive models: an interactive framework of information granulation [ECG data]
IEEE Transactions on Fuzzy Systems
Granular prototyping in fuzzy clustering
IEEE Transactions on Fuzzy Systems
An input-output clustering approach to the synthesis of ANFIS networks
IEEE Transactions on Fuzzy Systems
Support-vector-based fuzzy neural network for pattern classification
IEEE Transactions on Fuzzy Systems
Fuzzy spatial pattern processing using linguistic hidden Markov models
IEEE Transactions on Fuzzy Systems
Genetically optimized fuzzy polynomial neural networks
IEEE Transactions on Fuzzy Systems
Granular Neural Networks With Evolutionary Interval Learning
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
ANCFIS: A Neurofuzzy Architecture Employing Complex Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Granular neural networks for numerical-linguistic data fusion and knowledge discovery
IEEE Transactions on Neural Networks
Multilayer perceptron, fuzzy sets, and classification
IEEE Transactions on Neural Networks
Hesitant Fuzzy Linguistic Term Sets for Decision Making
IEEE Transactions on Fuzzy Systems
Set-based granular computing: A lattice model
International Journal of Approximate Reasoning
A novel cognitive system model and approach to transformation of information granules
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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The multi-granularity problem is one of the key open problems in Granular Computing. Multiple descriptions of the same phenomena may use very different information granulations, complicating any comparison or synthesis of those descriptions. One method for solving this problem is to transform all observations to a common granulation; however, this granulation must be adequate to capture all important facets of the phenomena. Determining this ''natural'' granulation could be done by inductively learning and comparing multiple granular representations of the phenomenon, but this requires a dedicated learning architecture. We present the Granular Neural Network, a novel adaptive neural network architecture that employs granular values and operations at the level of individual neurons. The Granular Neural Network is based on the multiplayer perceptron architecture and the backpropagation learning algorithm with momentum. It uses the operations of linguistic arithmetic to manipulate granular connection weights, which are represented by linguistic terms. We test the performance of the Granular Neural Network on three well-known benchmark datasets, and then explore its use in determining the ''natural'' granularity of a dataset.