Lectures on Soft Computing and Fuzzy Logic

✍ Scribed by Matthias Baaz, Agata Ciabattoni (auth.), Prof. Antonio Di Nola, Prof. Giangiacomo Gerla (eds.)

• Publisher: Physica-Verlag Heidelberg
• Year: 2001
• Tongue: English
• Leaves: 337
• Series: Advances in Soft Computing 11
• Edition: 1
• Category: Library

✦ Synopsis

This volume offers a picture, as a job in progress, of the effort that is coming in founding and developing soft computing techniques. It contains papers aimed to report results containing genuinely logical aspects of fuzzy logic. The topics treated in this area cover Lukasiewicz logic, fuzzy logic as the logic of continuous t-norms, intuitionistic fuzzy logic. Aspects of fuzzy logic based on similarity relation are presented in connection with the problem of flexible querying in deductive database. Departing from fuzzy logic, some papers present results in probability logic treating computational aspects, results based on indishernability relation and a non commutative version of generalized effect algebras. Several strict applications of soft computing are also presented. The volume can serve as a reference work for foundational logico-algebraic aspects of soft computing and for concrete applications of coft computing techniques.

✦ Table of Contents

Front Matter....Pages I-X
A Natural Deduction System for Intuitionistic Fuzzy Logic....Pages 1-18
Minimal Ideals and the Socle in MV -algebras....Pages 19-31
Industrial Applications of Soft Computing....Pages 33-42
Spatial Diversity in Reaction-Diffusion Fuzzy Cellular Networks....Pages 43-55
An Evolutionary View to the Design of Soft-Computing Agents....Pages 57-70
Finiteness and Duality in MV -algebras Theory....Pages 71-88
Generalized Pseudo-Effect Algebras....Pages 89-111
Extension Principle and Probabilistic Inferential Process....Pages 113-127
An Algebraic Tool for Classification in Fuzzy Environments....Pages 129-158
Free BL Δ Algebras....Pages 159-171
Natural Duality as a Tool to Study Algebras Arising from Logics....Pages 173-187
The Principles of Fuzzy Logic: Its Mathematical and Computational Aspects....Pages 189-237
Fuzzy Systems and Data Mining....Pages 239-256
Flexible Querying in Deductive Database....Pages 257-276
Neural Networks for Pattern Recognition, Image and Signal Processing....Pages 277-299
Computational Aspects of Probability Logics....Pages 301-311
Survey of Theory and Applications of Łukasiewicz-Pavelka Fuzzy Logic....Pages 313-337

✦ Subjects

Artificial Intelligence (incl. Robotics); Business Information Systems