Fuzzy If-Then Rules in Computational Intelligence

by Ruan, Da; Kerre, Etienne E.

• ISBN13: 9780792378204
• ISBN10: 0792378202
• Format: Hardcover
• Copyright: 2000-02-01
• Publisher: Kluwer Academic Pub

Summary

During the last three decades, interest has increased significantly in the representation and manipulation of imprecision and uncertainty. Perhaps the most important technique in this area concerns fuzzy logic or the logic of fuzziness initiated by L. A. Zadeh in 1965. Since then, fuzzy logic has been incorporated into many areas of fundamental science and into the applied sciences. More importantly, it has been successful in the areas of expert systems and fuzzy control. The main body of this book consists of so-called IF-THEN rules, on which experts express their knowledge with respect to a certain domain of expertise. Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications brings together contributions from leading global specialists who work in the domain of representation and processing of IF-THEN rules. This work gives special attention to fuzzy IF-THEN rules as they are being applied in computational intelligence. Included are theoretical developments and applications related to IF-THEN problems of propositional calculus, fuzzy predicate calculus, implementations of the generalized Modus Ponens, approximate reasoning, data mining and data transformation, techniques for complexity reduction, fuzzy linguistic modeling, large-scale application of fuzzy control, intelligent robotic control, and numerous other systems and practical applications. This book is an essential resource for engineers, mathematicians, and computer scientists working in fuzzy sets, soft computing, and of course, computational intelligence.

Table of Contents

Preface	vii
The IF-THEN Logic of Natural Languages and Naturally Correct Inferences	1	(26)
Ellen Hisdal
Fuzzy Predicate Calculus and Fuzzy Rules	27	(10)
Petr Hajek
The Generalized Modus Ponens in a Fuzzy Set Theoretical Framework	37	(24)
Chris Cornelis
Martine De Cock
Etienne E. Kerre
Compositional Rule of Inference Based on Triangular Norms	61	(20)
Anna Kolesarova
Etienne E. Kerre
Approximate Reasoning Based on Lattice-Valued Propositional Logic Lvpl	81	(26)
Yang Xu
Da Ruan
Jun Liu
Mining Interesting Possibilistic Set-Valued Rules	107	(28)
Alexandr A. Savinov
Complexity Reduction of a Generalised Rational Form	135	(26)
Peter Baranyi
Yeung Yam
Reasoning with Cognitive Structures of Agents I: Acquisition of Rules for Computational Theory of Perceptions by Fuzzy Relational Methods	161	(28)
Ladislav J. Kohout
Eunjin Kim
Different Proposals to Improve the Accuracy of Fuzzy Linguistic Modeling	189	(34)
Oscar Cordon
Francisco Herrera
Maria Jose del Jesus
Pedro Villar
Igor Zwir
Linguistic IF-THEN Rules in Large Scale Application of Fuzzy Control	223	(20)
Vilem Novak
Jaromir Kovar
Fuzzy Rules Extraction-Based Linguistic and Numerical Heterogeneous Data Fusion for Intelligent Robotic Control	243	(24)
Changjiu Zhou
Da Ruan
Fuzzy IF-THEN Rules for Pattern Classification	267	(30)
Hisao Ishibuchi
Tomoharu Nakashima
Manabu Nii
Experiments on Fuzzy Logic Systems Based Indirect Adaptive Control of a Flexible Link Manipulator	297	(22)
James X. Lee
George Vukovich
Index	319