Readings in fuzzy sets for intelligent systems

Bibliographic Information

Readings in fuzzy sets for intelligent systems

edited by Didier Dubois and Henri Prade, Ronald R. Yager

Morgan Kaufmann Publishers, c1993

  • : pbk

Other Title

Fuzzy sets for intelligent systems

Available at  / 32 libraries

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Includes bibliographical references and index

Description and Table of Contents

Description

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. 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.

Table of Contents

?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

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