Ebook: Fuzzy Logic: State of the Art

Fuzzy Logic: State of the Art covers a wide range of both theory and applications of fuzzy sets, ranging from mathematical basics, through artificial intelligence, computer management and systems science to engineering applications.
Fuzzy Logic will be of interest to researchers working in fuzzy set theory and its applications.

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Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Nonmonotonicity, Fuzziness, and Multi-Values....Pages 3-15
On Some Fuzzy Binary Relations Related to Implication Functions....Pages 17-27
Preference Modelling and Aggregation Procedures with Valued Binary Relations....Pages 29-38
Completions and Compactifications by Means of Monads....Pages 39-56
Some Results on Compactification in Fuzzy Topological Spaces....Pages 57-67
Bounded Linear Transformations Between Probabilistic Normed Vector Spaces....Pages 69-75
A Level-Topologies Criterion for Lowen Fuzzy Uniformizability....Pages 77-81
Towards a Mathematical Theory of Fuzzy Topology....Pages 83-94
The Parametrization of Fuzzy Sets by Single-Valued Mappings....Pages 95-101
On Possibility/Probability Transformations....Pages 103-112
Calculus of Properties and Fuzzy Sets....Pages 113-121
MV Algebras in the Treatment of Uncertainty....Pages 123-131
An Algebraic Approach to Reasoning with Conditional Information....Pages 133-142
Empirical Possibility and Minimal Information Distortion....Pages 143-152
On Co-Optimal Lifts in the Category of Fuzzy Neighbourhood Spaces....Pages 153-159
Cuts Commute with Closures....Pages 161-167
Toll Sets and Toll Logic....Pages 169-177
Front Matter....Pages 179-179
Generating Control Strategies for Resolution-Based Theorem Provers by Means of Fuzzy Triangle Products and Relational Closures....Pages 181-192
On Zadeh’s Compositional Rule of Inference....Pages 193-200
Interval Valued Approximate Reasoning for Ignorance Processing....Pages 201-212
Front Matter....Pages 179-179
A Logical Structure for a Knowledge Base....Pages 213-223
Approximate Pattern Classification Using Neural Networks....Pages 225-236
Updating the Biology of the Artificial Neuron....Pages 237-249
Fuzzy Screening Systems....Pages 251-261
Front Matter....Pages 263-263
Fuzzy Linear Programming Problems with Min— and Max-Extended Algebraic Operations on Centered Fuzzy Numbers....Pages 265-275
New Solution Concepts for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters Incorporating Fuzzy Goals....Pages 277-286
On Optimization with Interdependent Multiple Criteria....Pages 287-300
Supporting System for the Diagnosis of Diabetes Mellitus Based on Glucose Tolerance Test Responses Using a Fuzzy Inference....Pages 301-310
Fuzzy 0-1 Programming Through Neural Computation....Pages 311-320
A Visual Interactive Method for Molp Problems with Fuzzy Coefficients....Pages 321-332
A Survey of Fuzzy Intuitionistic Logics in Quantum Mechanics....Pages 333-344
Fuzzy Classifier Systems....Pages 345-354
On the Evaluation of Simple Fuzzy Relational Queries: Principles and Measures....Pages 355-364
Numerical and Logical Approaches to Fuzzy Set Theory by the Context Model....Pages 365-376
A Class of Fuzzy Featural Models of Similarity Judgments....Pages 377-384
Fuzzy Analysis of Fuzzy Data....Pages 385-394
Measure-Based Semantics for Modal Logic....Pages 395-405
Least Squares Methods in Fuzzy Data Analysis....Pages 407-416
Information-Preserving Probability-Possibility Transformations:....Pages 417-428
Analyzing the Meaning of Fuzziness in Random Experiments....Pages 429-439
Front Matter....Pages 263-263
Fuzzy Implication, and Fuzzy Inclusion: a Comparative Axiomatic Study....Pages 441-451
Robust Computations with Fuzzy Sets....Pages 453-462
Front Matter....Pages 463-463
A Self-Tuning Method of Fuzzy Inference Rules by Descent Method....Pages 465-475
Mathematical Morphology Based on Fuzzy Operators....Pages 477-486
Stability Analysis of Fuzzy Control Systems Based on the Conicity Criterion.....Pages 487-496
Model Predictive Control Using Fuzzy Dynamic Models....Pages 497-506
Time Weighted Fault Tolerant Control....Pages 507-516
Use of Natural Language in System Reliability Analysis Takehisa Onisawa....Pages 517-529
Parameter Adjustment Laws of Fuzzy Pi Controllers for First Order Lag Systems with Dead Time....Pages 531-540
Adaptive Fuzzy Control....Pages 541-551
Fuzzy Control for High Frequency Tube Welding System....Pages 553-567
Hybrid Fuzzy Self-Organizing Controller for Visual Tracking....Pages 569-578
Integration of Symbolic Path-Planning and Fuzzy Control for Intelligent Mobile Robot....Pages 579-587

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Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Nonmonotonicity, Fuzziness, and Multi-Values....Pages 3-15
On Some Fuzzy Binary Relations Related to Implication Functions....Pages 17-27
Preference Modelling and Aggregation Procedures with Valued Binary Relations....Pages 29-38
Completions and Compactifications by Means of Monads....Pages 39-56
Some Results on Compactification in Fuzzy Topological Spaces....Pages 57-67
Bounded Linear Transformations Between Probabilistic Normed Vector Spaces....Pages 69-75
A Level-Topologies Criterion for Lowen Fuzzy Uniformizability....Pages 77-81
Towards a Mathematical Theory of Fuzzy Topology....Pages 83-94
The Parametrization of Fuzzy Sets by Single-Valued Mappings....Pages 95-101
On Possibility/Probability Transformations....Pages 103-112
Calculus of Properties and Fuzzy Sets....Pages 113-121
MV Algebras in the Treatment of Uncertainty....Pages 123-131
An Algebraic Approach to Reasoning with Conditional Information....Pages 133-142
Empirical Possibility and Minimal Information Distortion....Pages 143-152
On Co-Optimal Lifts in the Category of Fuzzy Neighbourhood Spaces....Pages 153-159
Cuts Commute with Closures....Pages 161-167
Toll Sets and Toll Logic....Pages 169-177
Front Matter....Pages 179-179
Generating Control Strategies for Resolution-Based Theorem Provers by Means of Fuzzy Triangle Products and Relational Closures....Pages 181-192
On Zadeh’s Compositional Rule of Inference....Pages 193-200
Interval Valued Approximate Reasoning for Ignorance Processing....Pages 201-212
Front Matter....Pages 179-179
A Logical Structure for a Knowledge Base....Pages 213-223
Approximate Pattern Classification Using Neural Networks....Pages 225-236
Updating the Biology of the Artificial Neuron....Pages 237-249
Fuzzy Screening Systems....Pages 251-261
Front Matter....Pages 263-263
Fuzzy Linear Programming Problems with Min— and Max-Extended Algebraic Operations on Centered Fuzzy Numbers....Pages 265-275
New Solution Concepts for Multiobjective Nonlinear Programming Problems with Fuzzy Parameters Incorporating Fuzzy Goals....Pages 277-286
On Optimization with Interdependent Multiple Criteria....Pages 287-300
Supporting System for the Diagnosis of Diabetes Mellitus Based on Glucose Tolerance Test Responses Using a Fuzzy Inference....Pages 301-310
Fuzzy 0-1 Programming Through Neural Computation....Pages 311-320
A Visual Interactive Method for Molp Problems with Fuzzy Coefficients....Pages 321-332
A Survey of Fuzzy Intuitionistic Logics in Quantum Mechanics....Pages 333-344
Fuzzy Classifier Systems....Pages 345-354
On the Evaluation of Simple Fuzzy Relational Queries: Principles and Measures....Pages 355-364
Numerical and Logical Approaches to Fuzzy Set Theory by the Context Model....Pages 365-376
A Class of Fuzzy Featural Models of Similarity Judgments....Pages 377-384
Fuzzy Analysis of Fuzzy Data....Pages 385-394
Measure-Based Semantics for Modal Logic....Pages 395-405
Least Squares Methods in Fuzzy Data Analysis....Pages 407-416
Information-Preserving Probability-Possibility Transformations:....Pages 417-428
Analyzing the Meaning of Fuzziness in Random Experiments....Pages 429-439
Front Matter....Pages 263-263
Fuzzy Implication, and Fuzzy Inclusion: a Comparative Axiomatic Study....Pages 441-451
Robust Computations with Fuzzy Sets....Pages 453-462
Front Matter....Pages 463-463
A Self-Tuning Method of Fuzzy Inference Rules by Descent Method....Pages 465-475
Mathematical Morphology Based on Fuzzy Operators....Pages 477-486
Stability Analysis of Fuzzy Control Systems Based on the Conicity Criterion.....Pages 487-496
Model Predictive Control Using Fuzzy Dynamic Models....Pages 497-506
Time Weighted Fault Tolerant Control....Pages 507-516
Use of Natural Language in System Reliability Analysis Takehisa Onisawa....Pages 517-529
Parameter Adjustment Laws of Fuzzy Pi Controllers for First Order Lag Systems with Dead Time....Pages 531-540
Adaptive Fuzzy Control....Pages 541-551
Fuzzy Control for High Frequency Tube Welding System....Pages 553-567
Hybrid Fuzzy Self-Organizing Controller for Visual Tracking....Pages 569-578
Integration of Symbolic Path-Planning and Fuzzy Control for Intelligent Mobile Robot....Pages 579-587
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