Computational Intelligence and Mathematics for Tackling Complex Problems 4

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The recent book of the series continues the collection of articles dealing with the important and efficient combination of traditional and novel mathematical approaches with various computational intelligence techniques, with a stress of fuzzy systems, and fuzzy logic.

Complex systems are theoretically intractable, as the need of time and space resources (e.g., computer capacity) exceed any implementable extent. How is it possible that in the practice, such problems are usually manageable with an acceptable quality by human experts? They apply expert domain knowledge and various methods of approximate modeling and corresponding algorithms. Computational intelligence is the mathematical tool box that collects techniques which are able to model such human interaction, while (new) mathematical approaches are developed and used everywhere where the complexity of the sub-task allows it. The innovative approaches in this book give answer to many questions on how to solve “unsolvable” problems.

Author(s): María Eugenia Cornejo, István Á. Harmati, László T. Kóczy, Jesús Medina-Moreno
Series: Studies in Computational Intelligence, 1040
Publisher: Springer
Year: 2022

Language: English
Pages: 199
City: Cham

Preface
Contents
Decidability for S4 Gödel Modal Logics
1 Introduction
2 Syntax and Semantics
3 Birelational Completeness
4 The Finite Model Property
5 Conclusion
References
Basic Logic Versus Multi-adjoint Logic
1 Introduction
2 Basic and Multi-adjoint Logics
3 Relationship Between BL and ML
4 Conclusions and Future Work
References
Fuzzy Logic Programming with Generalized Quantifiers
1 Introduction
2 Preliminaries
3 Fixed Point Semantics with Generalized Quantifiers
4 Conclusions and Future Work
References
Fuzzy Relations: The Fundament for Fuzzy Rough Approximation, Fuzzy Concept Analysis and Fuzzy Mathematical Morphology
1 Introduction
2 Preliminaries
3 Forward and Backward Operators Induced by upper LL-Fuzzy Relations
4 Operators upper R Superscript white medium square Baseline colon upper L Superscript upper X Baseline right arrow upper L Superscript upper Y Baseline comma upper R Superscript lozenge Baseline colon upper R Superscript upper X Baseline right arrow upper L Superscript upper YR 2mu-:6muplus1muLXtoLY, R 2mu-:6muplus1muRX toLY upper R Superscript black medium square Baseline colon upper L Superscript upper Y Baseline right arrow upper L Superscript upper X Baseline comma upper R Superscript black lozenge Baseline colon upper R Superscript upper Y Baseline right arrow upper L Superscript upper XR 2mu-:6muplus1muLYtoLX, R 2mu-:6muplus1muRY toLX
5 Operators upper R Superscript white medium square Baseline comma upper R Superscript lozenge Baseline comma upper R Superscript black medium square Baseline comma upper R Superscript black lozengeR , R , R , R in Fuzzy Rough Set Theory
6 Operators upper R Superscript white medium square Baseline comma upper R Superscript lozenge Baseline comma upper R Superscript black medium square Baseline comma upper R Superscript black lozengeR , R , R , R and Fuzzy Concept Analysis
7 Operators upper R Superscript white medium square Baseline comma upper R Superscript lozenge Baseline comma upper R Superscript black medium square Baseline comma upper R Superscript black lozengeR , R , R , R and Fuzzy Mathematical Morphology
8 Conclusion
References
Information Bireducts and Its Relationship with Reducts
1 Introduction
2 Preliminaries
3 Bireducts in Information Tables
4 Conclusions and Future Work
References
On the Applicability of Fuzzy Lines in Circular Hough Transform in Lesion Segmentation on Liver CT Images
1 Introduction
2 Mathematical Background
2.1 Hough Transform
2.2 Fuzzy Hough transform
3 Image Processing Tools
4 Results
5 Conclusion
References
Directional Properties of Semi-aggregation Functions
1 Introduction and Preliminaries
2 Directionally Monotone Functions
3 Directionally Shift-Invariant Functions
4 Concluding Remarks
References
Generalized Phi-Transform of Aggregation Functions on Bounded Lattices
1 Introduction
2 Preliminaries
2.1 Bounded Lattices
2.2 Aggregation Functions
3 The Construction Method upper A Subscript left angle bracket upper F comma bold c right angle bracketAlangleF,crangle on Bounded Lattices
4 Conclusion
References
Sugeno Integral for Atanassov Intuitionistic Fuzzy Sets
1 Introduction
2 Preliminaries
3 mathcalLALF-Measure and Sugeno Integral
3.1 Lower Sugeno Integral
3.2 Upper Sugeno Integral
4 Interpretation
5 Conclusions
References
Facilitating the Simulation of Domestic Energy Systems Through Linguistic Representations
1 Introduction
2 Homegrid Modeling
3 Optimisation Through Constraint Satisfaction
4 Experimental Results
5 Conclusions
References
Experiments with the Discrete Bacterial Memetic Evolutionary Algorithm for Solving the Cumulative Capacitated Vehicle Routing Problem
1 Introduction
1.1 The Cumulative Capacitated Vehicle Routing Problem (CCVRP)
1.2 Our Previous Work
2 Our Method
3 Computational Results
4 Conclusions
References
Fuzzy Inference System-like Aggregation Operator for Fuzzy Signatures
1 Introduction
2 Fuzzy Inference System-like Aggregations Operator (FISAO)
3 An Experimental Application of FISAO
4 Conclusion and Future Work
References
Context of a Local Congruence Concept Reduction
1 Introduction
2 Preliminaries
3 Context Modification from a Local Congruence Reduction
4 Conclusions and Future Work
References
One-sided Concept Lattices by Blocks
1 Introduction
2 Preliminaries
2.1 One-Sided Concept Lattices
2.2 alphaα-Blocks on Tolerance Relations
3 One-Sided Concept Lattices by Means of Blocks
4 Conclusions
References
From Fuzzy Partitions to Riemannian Manifolds
1 Introduction
1.1 How to Assign an Inner Product?
2 Fuzzy Set and Its Tangent Space
2.1 Associated Inner Product and the Kernel Trick
2.2 Associated Feature Space
3 Fuzzy Partition and Related Riemannian Manifold
4 Conclusions
References
Discrete Universal Fuzzy Integrals
1 Introduction and Preliminaries
2 Discrete Fuzzy Integrals Based on Aggregation Functions
3 Some Particular Discrete Fuzzy Integrals
4 Concluding Remarks
References
Energy Determined Membership Function of Viscoelastic Models
1 Introduction
2 Rheology and Thermodynamics
2.1 Stress and Strain in Mechanics and in Rheology
2.2 Dissipation of Energy of Viscoelastic Materials Subjected to a Mechanical Load
3 Viscolelasticity, Loading and Energy
4 Fluidity and V-membership Function
5 Computer Analogy
6 Conclusion
References
Advances in Forgery Detection of Driving Licences Using Truthfulness Degrees
1 Introduction
2 Degree of Truthfulness
3 Real Cases
3.1 French Driving Licences
3.2 Italian Driving Licences
4 Conclusions and Future Work
References
A Formal Method for Driver Identification
1 Introduction
2 Attribute Implications in FCA
3 Driver Identification Methodology
4 Conclusions and Future Work
References
Analysis and Identification of Forensic Events Using Non-parametric Density Estimation
1 Introduction
2 Data Set
2.1 Input Characteristics
2.2 Data Processing
3 Kernel Density Estimator
4 Identification of the Assaults with KDE
5 Conclusions
References
Fuzzy Signature Based Model in Material Handling Management
1 Introduction
2 Theoretical Background
2.1 Linear Programming
2.2 Fuzzy Signatures
3 Fuzzy Signature Based Job Shop Scheduling Model
3.1 Input Parameters and Their Correlations
3.2 Fuzzy Signature Basing on Expert Knowledge
4 Experimental Results
4.1 Numerical Example
4.2 Comparison with LP Models
5 Conclusion and Future Work
References
On Choquet Integral in Ranking Crimes
1 Introduction
2 Preliminary Notions
3 On Determining Fuzzy Measure
4 Model for the Automatic Ranking of Data
5 Experimental Example: Bilbao Crime Dataset
6 Conclusions and Future Work
References
The Effects of Knowledge Extraction Approaches on Cryptanalysis Studies and Analysis of the Success of Chaos-Based Countermeasures
1 Introduction
2 Knowledge Extraction and Cryptanalysis
3 Countermeasures Based on Chaotic Masks
4 Experimental Setup
5 Analysis Results and Discussions
6 Conclusions
References