Fuzzy Techniques: Theory and Applications

Name: Fuzzy Techniques: Theory and Applications | Proceedings of the 2019 Joint World Congress of the International Fuzzy Systems Association and the Annual Conference of the North American Fuzzy Information Processing Society IFSA/NAFIPS'2019 (Lafayette, Louisiana, USA, June 18-21, 2019)
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Proceedings of the 2019 Joint World Congress of the International Fuzzy Systems Association and the Annual Conference of the North American Fuzzy Information Processing Society IFSA/NAFIPS'2019 (Lafayette, Louisiana, USA, June 18-21, 2019)

Ralph Baker Kearfott Ildar Batyrshin Marek Reformat Martine Ceberio Vladik Kreinovich(Editor)

Springer (Publisher)

1st Edition

Published on 10. June 2019

XIII, 823 pages

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978-3-030-21920-8 (ISBN)

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Content

Intro
Preface
Contents
Aggregation and Pre-aggregation Functions. Theory And Applications
A New Axiomatic Approach to Interval-Valued Entropy
1 Introduction
2 Preliminaries
3 Interval-Valued Normal EN-functions
4 Aggregation of IV EN-functions for Getting IV Entropies
4.1 Width-Based IV Entropies
5 Conclusions
References
Aggregation Operators to Evaluate the Relevance of Classes in a Fuzzy Partition
Abstract
1 Introduction
2 Comparison Process
3 Aggregation Operators for Comparison Process
3.1 Weakly Self-dual Operators
3.2 Properties of Operators that Measure Relevance
4 Final Comments
Acknowledgements
References
The Influence of Induced OWA Operators in a Clustering Method
1 Introduction
2 Preliminaries
2.1 k-means Algorithm
3 Clustering Based on IOWA Operators
4 Illustrative Examples
5 Experimental Study
6 Conclusions
References
Local Properties of Strengthened Ordered Directional and Other Forms of Monotonicity
1 Introduction
2 Preliminaries
3 Different Relaxations of Monotonicity
3.1 Definitions
3.2 Properties
4 Local Study of the Different Notions of Monotonicity
5 Conclusions
References
On the Influence of Interval Normalization in IVOVO Fuzzy Multi-class Classifier
1 Introduction
2 IVOVO: Interval-Valued One-Vs-One
2.1 Fuzzy Rule-Based Classification Systems: IVTURS
2.2 Admissible Orders Between Intervals
2.3 One-Versus-One (OVO)
2.4 IVOVO: Interval-Valued One-Vs-One
3 Different Approaches for the Normalization of Intervals
3.1 Normalization by the Lower Bound and the Middle Point
3.2 Other Normalization Methods
4 Experimental Study
4.1 Experimental Framework
4.2 Influence of Normalization Strategies in IVOVO
5 Conclusions
References
Fuzzy Optimization and Decision Making: Theory, Algorithms and Applications
Group Assessment of Comparable Items from the Incomplete Judgments
1 Introduction
2 Consistency of Judgments
2.1 Single Evaluated Item
2.2 Multiple Comparable Items
3 Group Assessment
4 Trade-Off Between Consistency of Judgment and Inclusion Relation
5 Numerical Example
6 Conclusion
References
Interval Weight Estimation Methods Satisfying Desirable Properties in Interval AHP
1 Introduction
2 Interval AHP
2.1 Estimation by Minimizing Widths of Interval Weights
2.2 Estimation by Minimizing Deviation from the Given PCM
3 Unsatisfaction of Desirable Properties
3.1 Desirable Properties
3.2 Non-unique Solutions Under a Consistent interval PCM
3.3 Unsatisfaction of Property (iv)
3.4 Consideration of Deviations Between wiL/wjR and aijL
4 The Improved MMR Methods
5 Concluding Remarks
References
Fuzzy Systems in Economics and Management
Weighted Averages in the Ordered Weighted Average Inflation
Abstract
1 Introduction
2 Preliminaries
2.1 Inflation Formulas for Latin America Countries
2.1.1 Chile
2.2 Basics and Extensions of the OWAWA Operator
3 The Ordered Weighted Average Weighted Average Inflation
3.1 The OWAWA Inflation
4 Numerical Example
5 Conclusions
References
Inter-relation Between Interval and Fuzzy Techniques
A Note on the Centroid, Yager Index and Sample Mean for Fuzzy Numbers
1 Introduction and Motivation
2 Basics of Fuzzy Sets/Numbers
3 Yager Index, Possibilistic Mean and Centroid of a Fuzzy Numbers
3.1 Yager Index of a Fuzzy Number
3.2 Carlsson-Fullér Possbilistic Mean of a Fuzzy Number
3.3 Centroid of a Fuzzy Number
4 Sample Mean and Random Variables
4.1 Sample Mean
4.2 Fuzzy Random Variable Generation
5 Numerical Experiments
5.1 Obtained Results
6 Concluding Remarks
References
Why Grade Distribution Is Often Multi-modal: An Uncertainty-Based Explanation
1 Formulation of the Problem
2 Analysis of the Problem and the Resulting Qualitative Explanation
3 Towards a Quantitative Analysis
References
How to Fuse Expert Knowledge: Not Always ``And'' but a Fuzzy Combination of ``And" and ``Or''
1 Fusing Expert Knowledge: Formulation of the Problem
2 Analysis of the Problem
3 Resulting Formula: Formulation and Example
References
General Papers
Intuitionistic Fuzzy Model of Traffic Jam Regions and Rush Hours for the Time Dependent Traveling Salesman Problem
Abstract
1 Introduction
2 Traditional TSP Cost Calculation
3 The Discrete Bacterial Memetic Evolutionary Algorithm
4 The Intuitionistic Fuzzy Time Dependent Traveling Salesman Problem (IFTD TSP)
5 Computational Result
6 Conclusions and Future Work
Acknowledgment
References
New Fuzzy Approaches to Cryptocurrencies Investment Recommendation Systems
1 Introduction
2 Evolving Fuzzy Models
2.1 eMG - Multivariable Gaussian Evolving Fuzzy System
2.2 eNFN - Evolving Neo-Fuzzy Neuron
2.3 eTS - Evolving Takagi-Sugeno
2.4 xTS - eXtended Takagi-Sugeno
3 Evaluation Evolving Fuzzy Models
4 Proposed Approaches
4.1 Evolving Proposed Approach
4.2 Hybrid Approach
4.3 Proposed Approaches Evaluation
5 Conclusion
References
On Fuzzy Optimization Foundation
1 Introduction
2 Classical Optimization
3 Fuzzy Set Theory
4 Fuzzy Optimization Problems
4.1 Fuzzy Constraints
4.2 Fuzzification of Objective Function
5 Final Remarks
References
Fuzzy Systems with Sigmoid-Based Membership Functions as Interpretable Neural Networks
1 Introduction
2 Preliminaries
3 Takagi-Sugeno Approximation of a Neural Network
4 Multi-dimensional Case
5 Towards Deep Learning TS Fuzzy System with Sigmoid Antecedents
6 Conclusions and Further Research
References
Type-2 Fuzzy Logic Augmentation of the Imperialist Competitive Algorithm with Dynamic Parameter Adaptation
1 Introduction
2 Imperialist Competitive Algorithm
3 Proposed Methodology
4 Benchmark Functions
5 Experimental Results
6 Conclusions
References
Least Square Method with Quasi Linearly Interactive Fuzzy Data: Fitting an HIV Dataset
1 Introduction
2 Mathematical Background
2.1 Least Square Method
2.2 Fuzzy Set Theory
3 Least Squares Method for Interactive Fuzzy Data
4 Quasi Linearly Interactive Fuzzy Numbers
5 Application to the HIV Dataset
6 Final Remarks
References
Combining ANFIS and Digital Coaching for Good Decisions in Industrial Processes
Abstract
1 Introduction
2 Problem Solving and Complex Industrial Processes
3 Adaptive Neuro-Fuzzy Inference System Models
4 Digital Coaching
5 Summary and Conclusions
References
On the Implementation of Evolving Dynamic Cognitive Maps
Abstract
1 Introduction
2 Dynamic Cognitive Maps
2.1 Fuzzy Cognitive Maps
2.2 Fuzzy Cognitive Maps Extensions and Variations
2.3 Rule Based Fuzzy Cognitive Maps
3 Expressing Time in Dynamic Cognitive Maps
4 Finite State Machines
5 Evolving Dynamic Cognitive Maps
5.1 The Need for Ev-DCM
5.2 Ev-DCM Definition
5.3 Meta-States and Outputs
5.3.1 Meta-State Activity Phase
5.4 Events and Transition Function
6 Application Example
7 Conclusion
References
Fuzzy Set Similarity Between Fuzzy Words
Abstract
1 Introduction
2 Representing Fuzzy Words
3 Fuzzy Set Similarity Measures Between Fuzzy Words
3.1 Zadeh's Sup-Min
3.2 Jaccard
3.3 Geometric Fuzzy Similarity Based on Dissemblance Index
3.4 Similarity Using Type-2 COG Distances
4 Experimental Results and Analysis on Word Categories
5 Conclusions
Acknowledgment
References
Simulating the Behaviour of Choquet-Like (pre) Aggregation Functions for Image Resizing in the Pooling Layer of Deep Learning Networks
1 Introduction
2 Generalizations of the Choquet Integral
3 Image Processing in the Context of Image Resizing
4 Problem Formulation and Methodology
5 Results and Discussion
6 Conclusion
References
Integrating Antonyms in Fuzzy Inferential Systems via Anti-membership
Abstract
1 Introduction
2 A Total Ordering of Memberships ? Anti-memberships
3 Constructing Antonyms Using Anti-memberships
3.1 Anti-memberships in Linguistic Variables
3.2 Anti-memberships in Fuzzy Inferential Systems
4 Example
5 Summary and Future Work
References
Some Notes on the Addition of Interactive Fuzzy Numbers
1 Introduction
2 Given Fuzzy Numbers B and C, Is There a Fuzzy Number X and a Joint Possibility Distribution J of X and B Such that X +J B = C?
3 Given Fuzzy Numbers A, B, and C, Is There a Joint Possibility Distribution J of A and B Such that A +J B = C?
4 Given a Joint Possibility Distribution J of Fuzzy Numbers A and B, Is There a Joint Possibility Distribution N of (A +J B) and B Such that (A +J B) -N B = A?
5 Concluding Remarks
References
Fuzzy Rule-Based Classification with Hypersphere Information Granules
1 Introduction
2 Designing Information Granules with the Principle of Justifiable Granularity
2.1 Information Granules and the Principle of Justifiable Granularity
2.2 Granulation Based on the Principle of Justifiable Granularity with Auxiliary Information
3 Fuzzy Granular Classification Model Based on the Principle of Justifiable Granularity
3.1 The Design of the Initial Classifier
3.2 The Refine of the Initial Classifier by Migrating Prototypes
4 Experimental Studies
4.1 Data Sets
4.2 Experiment Results and Comparison with Well-Known Classifiers
5 Conclusions
References
Multiple Modeling and Fuzzy Switching Control of Fixed-Wing VTOL Tilt-Rotor UAV
1 Introduction
2 Mathematical Modeling
2.1 Forces and Moments Generated by the Thrust of Propellers
2.2 Aerodynamic Forces and Moments on the Wing
3 Tilt-Rotor Flight Control
3.1 Fuzzy Switching Logic Between Models
4 Simulation Results and Discussions
5 Conclusions
References
Design of Optimal Fuzzy Controllers for Autonomous Mobile Robots Using the Grey Wolf Algorithm
1 Introduction
2 Literature Review
2.1 Grey Wolf Optimizer
2.2 Encircling Prey
2.3 Hunting Prey
2.4 Attacking Prey
2.5 Fuzzy Logic
2.6 Autonomous Robot Movil
3 Methodology
4 Fuzzy Logic Controller
5 Results and Discussion
6 Conclusions and Future Work
References
Comparative Study of Fuzzy Controller Optimization with Dynamic Parameter Adjustment Based on Type 1 and Type 2 Fuzzy Logic
1 Introduction
2 Fuzzy Logic
2.1 Firefly Algorithm
3 Model of Fuzzy Dynamic Parameter Adjustment
4 Fuzzy Controllers
4.1 Water Level Control in a Tank
4.2 Temperature Control in a Shower
5 Experimentation
6 Simulations Results
6.1 Statistical Test
7 Conclusions
References
An Interpretation of the Fuzzy Measure Associated with Choquet Calculus for a HIV Transference Model
1 Introduction
2 Choquet Calculus
3 HIV Transference Dynamics
3.1 Symptomatic and Asymptomatic Classes
4 Analysis of the Solution for the Class Model
4.1 Transference Dynamics Without Treatment
4.2 Return Dynamics with Treatment
5 Final Comments
References
A Ranking Method of Hexagonal Fuzzy Numbers Based on Their Possibilistic Mean Values
1 Introduction
2 Hexagonal Fuzzy Number
3 A Ranking Method of HFNs
4 Conclusion
References
A Neglected Theorem - Numerical Analysis via Variable Interval Computing
1 Introduction
1.1 Analysis
1.2 Main Theorems
2 Decimals and Cantor Neighborhood Systems (CNS)
3 Algebraic and Topological Structure of CNS
4 Conclusions
References
Information Transmission and Nonspecificity in Feature Selection
1 Introduction
2 Mathematical Background
2.1 Nonspecificity and Information Transmission
2.2 Similarity
3 Nonspecificity-Based Feature Selection Method
3.1 Step-by-Step Procedure of the Algorithm
3.2 Detailed Example of the Procedure
4 Experimental Results and Analysis
4.1 Real-World Data Sets
4.2 Similarity Classifier
4.3 Training Procedure
4.4 Results
5 Conclusions
References
Effect of Maximizing Recall and Agglomeration of Feedback on Accuracy
1 Introduction
2 Review of Literature
2.1 Sampling
3 Sampling Using Clustering
3.1 Evaluation Metrics
4 Study Data
5 Predicting Comfort Level Feedback for the Agglomerated Dataset
6 Comparison of Recall and AUC for Individual Datasets Versus Agglomerated Dataset
7 Conclusion
References
Generalized Pre-aggregations
1 Introduction
2 Preliminaries
2.1 Partial Order Sets and Linear Orders
2.2 Aggregation Operators
3 The Concept of Conditioned Monotonicity
4 Conditioned Monotonicity on Prototype-Based Partitions
5 Generalized Pre-aggregation Functions
6 Conclusions
References
STRESSDIAG: A Fuzzy Expert System for Diagnosis of Stress Types Including Positive and Negative Rules
Abstract
1 Introduction
2 Structure of the System
2.1 Knowledge Base
2.2 Inference Engine
2.3 Knowledge Acquisition
2.3.1 Rules from Experts
2.3.2 Statistical Approach
2.3.3 Verifying the Rule Base
2.4 Explanation
3 An Example of the Performance of the System
4 Evaluation
5 STRESSDIAG's Application Scope
6 Conclusions
References
Functors Among Categories of L-fuzzy Partitions, L-fuzzy Pretopological Spaces and L-fuzzy Closure Spaces
1 Introduction
2 Preliminaries
3 Basic Categories
References
On Modeling of Generalized Syllogisms with Intermediate Quantifiers
1 Introduction
2 Preliminaries: Fuzzy Natural Logic and Intermediate Quantifiers
2.1 Theory of Evaluative Linguistic Expressions
2.2 Intermediate Quantifiers
2.3 Categorical Syllogism
3 Peterson's Rules for Aristotle's Syllogisms
3.1 Peterson's (Classical) Rules
4 Generalized Peterson's Rules and Inferred Forms
4.1 Generalized Peterson's Rules for Intermediate Syllogisms
4.2 Inferred Forms of Generalized Syllogisms
4.3 Sketch of the Algorithm
4.4 Examples of Intermediate Syllogisms
5 Conclusion
References
An Approach to Pulse Symbols Based Fuzzy Reasoning in Diagnosis of Traditional Vietnamese Medicine Including the Importance of Symptoms
Abstract
1 Introduction
2 Recall Some Notions of Pulse Diagnosis
2.1 Location and Types of Pulses
2.2 Disease Symptoms Diagnosis Based on Pulse Symbols in Triple Cun Guan - Chi
2.2.1 Pulse Diagnosis by Left Hand in Cun 1st Position
2.2.2 Pulse Diagnosis by Left Hand in Guan 2nd Position
3 Proposed Method of Diagnosis Based on Pulse Symbols by Triple Cun-Guan - Chi Including the Importance of Symptoms
4 Examples of Pulse Based Diagnosis Using the Importance of Symptoms
5 Conclusions
References
Fuzzy Transform in Time Series Decomposition
1 Introduction
2 Preliminaries
2.1 Higher Degree Fuzzy Transform
2.2 Time Series Modeling
3 Decomposition Using the Higher Degree Fuzzy Transform
3.1 Estimation of the Trend-Cycle
3.2 Estimation of the Seasonal Component
4 Illustrations
5 Conclusion
References
A Formal Model of the Intermediate Quantifiers ``A Few'', ``Several'' and ``A Little''
1 Introduction
2 Preliminaries
2.1 Fuzzy Type Theory
2.2 Evaluative Linguistic Expressions
3 The Theory of Intermediate Quantifiers
4 ``Several, A Few, A Little'' in the Square of Opposition
4.1 Sub-altern of ``A Few'' and ``Several''
4.2 Sub-contrary of ``A Few'' and ``Several''
5 Conclusion
References
Robust Evolving Granular Feedback Linearization
1 Introduction
2 Granular Evolving Participatory Learning Modeling
3 Exact Feedback Linearization
4 Robust Evolving Granular Feedback Linearization
5 Simulation Results
6 Conclusion
References
Comparative Analysis of Type-1 Fuzzy Inference Systems with Different Sugeno Polynomial Orders Applied to Diagnosis Problems
1 Introduction
2 Takagi-Sugeno Fuzzy Systems
3 Takagi-Sugeno Fuzzy Diagnosis System
4 Experimental Results
5 Conclusions
References
Fault Tolerant Controller Using Interval Type-2 TSK Logic Control Systems: Application to Three Interconnected Conical Tank System
1 Introduction
2 Preliminaries
3 Developing the Fault Tolerant Controller
3.1 Interval Type-2 Fuzzification
3.2 Inference Engine
3.3 Type Reducer
3.4 Defuzzifier
3.5 Interval Type-2 TSK Fuzzy Logic Controller
3.6 Proposed FTC Structure Using IT2 TSK FLC
4 Simulation Results
4.1 Simulation
4.2 Servo Response of TICTS
5 Conclusion and Future Work
References
The Dominance, Covering and Supercovering Relations in the Context of Multiple Partially Specified Reciprocal Relations
1 Introduction
2 Preliminaries
3 Introducing Some Ideas from the Field of Social Choice Theory
4 Conclusions
References
Hospital Data Interpretation: A Self-Organizing Map Approach
1 Introduction
2 Background and Literature Review
2.1 Self-Organizing Map
2.2 Previous Studies
3 Data Preprocessing and Implementation
3.1 Categories Selected for Analysis
3.2 Types of Generated SOMs
3.3 SOM Discover
4 Case Studies and Discussion
4.1 Case Study I: Process of Care, Emergency Department
4.2 Case Study II: Hospital Consumer Assessment of Health Care Providers and Systems Patient Survey (HCAHPS)
4.3 Case Study III: 30-Day Mortality and Readmission Measures
5 Conclusions and Future Work
References
Hybrid Connection Between Fuzzy Rough Sets and Ordered Fuzzy Numbers
1 Introduction
2 Granular Frameworks
2.1 Rough Set Theory
2.2 Fuzzy Set Theory
2.3 Fuzzy Rough Set Theory
3 Ordered Fuzzy Numbers
3.1 Definition of the OFN
3.2 Arithmetic Operations
3.3 Standard Representation of OFNs
3.4 Interpretation of the Direction
3.5 OFN Construction
4 Gathering Data as OFNs
4.1 Building OFN from the Input Time Series
4.2 The Example
5 Hybridization of OFNs and Fuzzy Rough Sets
5.1 Hybridization Variants
6 Summary and Perspectives for the Future
References
Collaborative Evidential Clustering
1 Introduction
2 Preliminaries
3 A Single-Step CEC Algorithm
4 A Multi-step CEC Algorithm
5 Experimental Results
6 Concluding Remarks
References
Firefly Algorithm and Grey Wolf Optimizer for Constrained Real-Parameter Optimization
Abstract
1 Introduction
2 Firefly Algorithm
3 Grey Wolf Optimizer Algorithm
4 Simulations Results
5 Conclusions
References
Canonical Fuzzy Preference Relations
1 Introduction
2 Reciprocal Canonical Fuzzy Preference Matrices
3 Constructing Additive Preferences from Ranks
4 Constructing Multiplicative Preferences from Ranks
5 Conclusions
References
Discrete and Continuous Logistic p-Fuzzy Models
1 Introduction
2 Preliminary
2.1 Discrete and Continuous Logistic Models
2.2 Fuzzy Rules and p-Fuzzy Systems
3 P-Fuzzy Logistic Models
3.1 Methodology
3.2 Results
4 Final Remarks
References
Measure of Interactivity on Fuzzy Process Autocorrelated: Malthusian Model
1 Introduction
1.1 Preliminary
1.2 Possibilistic Measures of Central Tendency and Interactivity
1.3 Linearly Correlated Fuzzy Process and Interactive Derivative
2 Interactive Malthusian Model
2.1 Interactivity Functions
2.2 Malthusian Model
3 Conclusion
References
Genetic Fuzzy System for Anticipating Athlete Decision Making in Virtual Reality
1 Introduction
2 NPC Dataset
3 Methodology
3.1 Steering Dynamics Model
3.2 FuzzyBolt
4 Results
4.1 Training the GFS Using FuzzyBolt
4.2 Explainability
5 Conclusions
References
Modeling Probabilistic Data with Fuzzy Probability Measures in UML Class Diagrams
1 Introduction
2 Preliminaries
2.1 Fuzzy Sets
2.2 Imprecise Probability Distributions
3 UML Modeling of Probabilistic Data with Fuzzy Probability Measures
3.1 Probabilistic Classes with Fuzzy Probability Measures
3.2 Probabilistic Generalization with Fuzzy Probability Measures
3.3 Probabilistic Aggregation with Fuzzy Probability Measures
3.4 Probabilistic Association with Fuzzy Probability Measures
3.5 Probabilistic Dependency with Fuzzy Probability Measures
4 Conclusions
References
Fuzzy Bi-implications Generated by t-norms and Fuzzy Negations
1 Introduction
2 Preliminaries
2.1 t-Norms and Fuzzy Negations
2.2 Fuzzy Implications
2.3 Fuzzy Bi-implications
3 Fuzzy Bi-implications Generated by t-Norms and Fuzzy Negations
3.1 Properties of (T,N)-bi-implications
4 Conclusions and Future Works
References
Calculations of Zadeh's Extension of Piecewise Linear Functions
1 Introduction
2 Preliminaries
2.1 Basic Notation
2.2 Metrics
2.3 Dynamical Systems
2.4 Fuzzy Dynamical Systems
2.5 Piecewise Linear Functions
3 Algorithm
4 Examples
4.1 Computation Complexity
5 Conclusion
References
A New Method to Design a Granular Hierarchy Model with Information Granularity
Abstract
1 Introduction
2 Aggregation of Local Models with the Same Level of Granularity
3 Construction of a Granular Hierarchy Model
3.1 The Principle of Justifiable Granularity
3.2 Build the Higher Level Model
4 Conclusions
Acknowledgement
References
Typicality of Features in Fuzzy Relational Compositions
1 Introduction
2 Preliminaries
2.1 Algebraic Background
2.2 Fuzzy Relational Compositions
3 The Concept of Typicality
3.1 Typicality as the Concept of Unavoidable Features
3.2 Properties
4 Experimental Justification and Conclusions
4.1 Experiment with Dragonfly Classification
4.2 Results, Discussion and Future Directions
References
A Subsethod Interval Associative Memory with Competitive Learning
1 Introduction
2 Some Mathematical Background
2.1 Some Lattice-Theoretical Concepts
2.2 Subsethood Measures on Bounded Lattices
3 A Very Brief Review of the MP/CL and -FAM Models
3.1 Some Comments of the MP/CL
3.2 -FAM Model on Bounded Lattices
4 S-IAM/CL: A -FAM Model with Competitive Learning
5 Experimental Results
References
Fuzziness and Humor: Aspects of Interaction and Computation
Abstract
1 Introduction
2 Ontological Semantic Theory of Humor
3 Fuzzy? Script Activation
4 Maximizing Membership Function in Humor
5 Conclusion
References
Cooperative FSEIF SLAM of Omnidirectional Mobile Multirobots
Abstract
1 Introduction
2 FSEIF SLAM
2.1 Introduction to FSEIF SLAM
2.2 FSEIF-SLAM
3 Cooperative FSEISF SLAM Multirobots
3.1 Omnidirectional Mobile Robot Model
3.2 Optimal Path Planning
3.3 K-Means Clustering
3.4 Shortest Path - Dijkstra's Algorithm
3.5 Shortest Path Planning
3.6 Sub-map Merging Method
4 Simulation Results and Discussion
4.1 Cooperation Simulation 1 - Heart Diagram
4.2 Cooperative Fuzzy SEIF SLAM
4.3 Discussion
5 Conclusions
Acknowledgment
References
Granular Rules for Medical Diagnosis
1 Introduction
2 Background: Medical Diagnostic Process
2.1 RHINOS
2.2 Focusing Mechanism
3 Basics of Rule Definitions
3.1 Rough Sets
3.2 Classification Accuracy and Coverage
3.3 Probabilistic Rules
4 Formalization of Medical Diagnostic Rules
4.1 Deterministic Model
4.2 Probabilistic Model
5 Detection of Complications
5.1 Rules for Detection of Complications
5.2 Classification of Observations
6 Conclusion
References
Personalized Promotion Recommendation Through Consumer Experience Evolution Modeling
1 Introduction
2 Related Work
3 Preliminaries
3.1 Latent Factor Model
3.2 Bayesian Personalized Ranking
4 Experience-Aware Feature-Based Bayesian Personalized Ranking
4.1 Experience-Aware Feature-Based Latent Factor Model
4.2 BPR with Multiple Feedbacks
4.3 exFBPR Method
4.4 Parameter Learning
5 Experiments
5.1 Dataset
5.2 Baselines and Metrics
5.3 Evaluation Results
6 Conclusion
References
Comparison Between Numerical Solutions of Fuzzy Initial-Value Problems via Interactive and Standard Arithmetics
1 Introduction
2 Mathematical Background
3 Arithmetic on Fuzzy Numbers
4 Fuzzy Numerical Solutions of FIVPs
5 Final Remarks
References
Fuzzy Octonion Numbers: Some Analytical Properties
1 Introduction
2 Octonion Numbers
3 Fuzzy Octonion Numbers
4 Interval Octonion Number
5 Supremum and Infimum for Fuzzy Octonion Numbers
6 Limit of a Sequence of Fuzzy Octonion Numbers
7 Conclusion
References
Towards Hybrid Uncertain Data Modeling in Databases
1 Introduction
2 Preliminaries
2.1 Imperfect Data
2.2 Stochastic Even and Probability Distributions
2.3 Fuzzy Sets and Possibility Distribution
3 Probabilistic Data with Fuzziness
3.1 Subjective Probability Distributions
3.2 Subjective Status Descriptions of Stochastic Events
4 Modeling Probabilistic Data with Fuzziness in Databases
5 Summary and Discussion
References
Fuzzy Classifier with Convolution for Classification of Handwritten Digits
1 Introduction
2 Preliminaries
2.1 Convolution
2.2 Gauss Membership Function
3 The Proposed Classifier
3.1 Data Preprocessing
3.2 Membership Calculation and Classification
3.3 Training
4 Experiment
5 Conclusion
References
Logarithms Are Not Infinity: A Rational Physics-Related Explanation of the Mysterious Statement by Lev Landau
1 Formulation of the Problem
2 Why Infinities Are Important in Physics
3 Towards Possible Physical Explanation of Landau's Statement
References
Fuzzy Transfer Learning in Heterogeneous Space Using Takagi-Sugeno Fuzzy Models
Abstract
1 Introduction
2 Preliminaries
2.1 Definitions of Transfer Learning
2.2 Takagi-Sugeno Fuzzy Model
3 Knowledge Transfer Between Domains in Heterogeneous Space
3.1 Problem Statement
3.2 Knowledge Transfer in Heterogeneous Space Across Domains
4 Experiments
5 Conclusion and Further Study
Acknowledgement
References
Constraint Programming And Decision Making Papers from the 12th International Workshop CoProd'2019
Can We Improve the Standard Algorithm of Interval Computation by Taking Almost Monotonicity into Account?
1 Formulation of the Problem
2 How to Take Almost Monotonicity into Account: 1-D Case
3 Multi-D Case
References
How Accurately Can We Determine the Coefficients: Case of Interval Uncertainty
1 Formulation of the Problem
2 Definitions and Results
3 Discussion
References
Logical Differential Constraints Based on Interval Boolean Tests
1 Introduction
2 Set-Based Constraint Satisfaction Differential Problems
3 Interval Inclusion Test for SCSDP
4 Conclusion
References
Fuzzy Approach to Optimal Placement of Health Centers
1 Formulation of the Problem
2 Where to Place the Health Centers: General Analysis
3 Where to Actually Place the Health Centers?
4 Need for a Fuzzy Approach
References
Constraint Programming Enabled Automated Ship Hull Geometric Design
1 Introduction
1.1 Problem Statement
1.2 Previous Work
2 Program Development
2.1 Python Internal Constraint Language
2.2 Feasibility and Design Space Narrowing
2.3 Design Rules
3 Form Parmeter Design of Ship Hulls
4 Results and Validation
5 Conclusions
References
Derivation of Louisville-Bratu-Gelfand Equation from Shift- or Scale-Invariance
1 Formulation of the Problem
2 Laplace Equation - the Simplest Case of Louisville-Bratu-Gelfand Equation: Brief Reminder
3 Derivation of Louisville-Bratu-Gelfand Equation
References
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