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Readings in Fuzzy Sets for Intelligent Systems
- 1st Edition - May 12, 2014
- Editors: Didier J. Dubois, Henri Prade, Ronald R. Yager
- Language: English
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 1 4 5 0 - 4
Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems.… Read more
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Request a sales quoteReadings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.
Acknowledgments
Chapter 1 Introduction
Chapter 2 Basic Notions in Fuzzy Set Theory
Fuzzy Sets
Representation Theorems for Fuzzy Concepts
On Some Logical Connectives for Fuzzy Sets Theory
Symmetric Summation: A Class of Operations on Fuzzy Sets
On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking
Fuzzy Power Sets and Fuzzy Implication Operators
On Implication and Indistinguishability in the Setting of Fuzzy Logic
A Theorem on Implication Functions Defined from Triangular Norms
Fuzzy Numbers: An Overview
A Review of Some Methods for Ranking Fuzzy Subsets
Solutions in Composite Fuzzy Relation Equations: Application to Medical Diagnosis in Brouwerian Logic
Fuzzy Relation Equation under a Class of Triangular Norms: A Survey and New Results
Chapter 3 Uncertainty and Informativeness
A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory
On the Specificity of a Possibility Distribution
Measures of Uncertainty and Information Based on Possibility Distributions
Conditional Possibility Measures and a Note on Defining Conditional Probability
On Modeling of Linguistic Information Using Random Sets
On the Concept of Possibility-Probability Consistency
Fuzzy Measures and Fuzzy Integrals—A Survey
Properties of the Fuzzy Expected Value and the Fuzzy Expected Interval in Fuzzy Environment
Fuzzy Random Variables
The Strong Law of Large Numbers for Fuzzy Random Variables
Chapter 4 Fuzzy Control
An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller
Analysis of a Fuzzy Logic Controller
Selection of Parameters for a Fuzzy Logic Controller
Modelling Controllers Using Fuzzy Relations
The Use of Fuzzy Sets for the Treatment of Fuzzy Information by Computer
A Linguistic Self-Organizing Process Controller
Some Properties of Fuzzy Feedback Systems
Control of a Cement Kiln by Fuzzy Logic
Fuzzy Control for Automatic Train Operation System
Fuzzy Controlled Robot Arm Playing Two-Dimensional Ping-Pong Game
A Fuzzy Logic Programming Environment for Real-Time Control
A Reinforcement Learning-Based Architecture for Fuzzy Logic Control
Characterization of a Class of Fuzzy Optimal Control Problems
Fuzzy Identification of Systems and Its Applications to Modeling and Control
Fuzzy Modeling of Complex Systems
Chapter 5 Approximate Reasoning
The Logic of Inexact Concepts
Fuzzy Logic and the Resolution Principle
Fundamentals of Fuzzy Prolog
Epistemic Entrenchment and Possibilistic Logic
Fuzzy and Probability Uncertainty Logics
Possibility Theory and Soft Data Analysis
Axiomatic Approach to Implication for Approximate Reasoning with Fuzzy Logic
An Approach to Fuzzy Reasoning Method
Some Considerations on Fuzzy Conditional Inference
A Fuzzy System Model Based on the Logical Structure
On Mode and Implication in Approximate Reasoning
Fuzzy Inferences and Conditional Possibility Distributions
Fuzzy Modus Ponens: A New Model Suitable for Applications in Knowledge-Based Systems
Using Approximate Reasoning to Represent Default Knowledge
Fuzzy Set Simulation Models in a Systems Dynamics Perspective
Chapter 6 Information Processing
Numerical Methods for Fuzzy Clustering
A Physical Interpretation of Fuzzy ISODATA
Convex Decompositions of Fuzzy Partitions
New Results in Fuzzy Clustering Based on the Concept of Indistinguishability Relation
The Fuzzy Geometry of Image Subsets
Fuzzy Confidence Measures in Midlevel Vision
Fuzzy Sets and Generalized Boolean Retrieval Systems
A Fuzzy Representation of Data for Relational Databases
FREEDOM-0: A Fuzzy Database System
Weighted Fuzzy Pattern Matching
Fuzzy Querying with SQL: Extensions and Implementation Aspects
FILIP: A Fuzzy Intelligent Information System with Learning Capabilities
Chapter 7 Decision and Systems Science
Decision-Making with a Fuzzy Preference Relation
Structure of Fuzzy Binary Relations
Some Properties of Choice Functions Based on Valued Binary Relations
A New Methodology for Ordinal Multiobjective Decisions Based on Fuzzy Sets
Decision Making under Uncertainty with Various Assumptions about Available Information
A Linguistic Approach to Decisionmaking with Fuzzy Sets
Group Decision Making with Fuzzy Majorities Represented by Linguistic Quantifiers
Applications of Fuzzy Set Theory to Mathematical Programming
Fuzzy Versus Stochastic Approaches to Multicriteria Linear Programming under Uncertainty
Fuzzy Sets in Few Classical Operational Research Problems
Fuzzy Zero-Base Budgeting
The Fuzzy Mathematics of Finance
Chapter 8 Membership, Cognition, Neural Networks, and Learning
Reconciliation of the Yes-No Versus Grade of Membership Dualism in Human Thinking
A Model for the Measurement of Membership and the Consequences of Its Empirical Implementation
The Concept of Grade of Membership
Adaptive Inference in Fuzzy Knowledge Networks
A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems
Learning of Fuzzy Production Rules for Medical Diagnosis
Index
- No. of pages: 928
- Language: English
- Edition: 1
- Published: May 12, 2014
- Imprint: Morgan Kaufmann
- eBook ISBN: 9781483214504
DD
Didier J. Dubois
Affiliations and expertise
Directeur de Recherches CNRS, Paris, Laboratoire IRIT and Université Paul Sabatier, Toulouse, FranceRY
Ronald R. Yager
Dr. Ronald R. Yager is a researcher in computational intelligence and decision making under uncertainty and fuzzy logic. He is currently Director of the Machine Intelligence Institute and Professor of Information Systems at Iona College. He has been an active IEEE Fellow since 1997 for his contributions to the development of the theory of fuzzy logic. He is the Editor and Chief of the International Journal of Intelligent Systems, which serves as a forum for individuals interested in tapping into the vast theories based on intelligent systems construction. He has also been invited to serve on the Editorial Boards and Executive Advisory Boards for a number of International Journals, including IEEE Intelligent Systems, IEEE Transactions on Fuzzy Systems, and the Fuzzy Sets and Systems Journal.
Affiliations and expertise
Iona College, Machine Intelligence Institute, New York, USARead Readings in Fuzzy Sets for Intelligent Systems on ScienceDirect