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Introduction to Neuro-Fuzzy Systems

✍ Scribed by Prof. Robert Fullér (auth.)


Publisher
Physica-Verlag Heidelberg
Year
2000
Tongue
English
Leaves
300
Series
Advances in Soft Computing 2
Edition
1
Category
Library

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✦ Synopsis


Fuzzy sets were introduced by Zadeh (1965) as a means of representing and manipulating data that was not precise, but rather fuzzy. Fuzzy logic proΒ­ vides an inference morphology that enables approximate human reasoning capabilities to be applied to knowledge-based systems. The theory of fuzzy logic provides a mathematical strength to capture the uncertainties associΒ­ ated with human cognitive processes, such as thinking and reasoning. The conventional approaches to knowledge representation lack the means for repΒ­ resentating the meaning of fuzzy concepts. As a consequence, the approaches based on first order logic and classical probablity theory do not provide an appropriate conceptual framework for dealing with the representation of comΒ­ monsense knowledge, since such knowledge is by its nature both lexically imprecise and noncategorical. The developement of fuzzy logic was motivated in large measure by the need for a conceptual framework which can address the issue of uncertainty and lexical imprecision. Some of the essential characteristics of fuzzy logic relate to the following [242]. β€’ In fuzzy logic, exact reasoning is viewed as a limiting case of apΒ­ proximate reasoning. β€’ In fuzzy logic, everything is a matter of degree. β€’ In fuzzy logic, knowledge is interpreted a collection of elastic or, equivalently, fuzzy constraint on a collection of variables. β€’ Inference is viewed as a process of propagation of elastic conΒ­ straints. β€’ Any logical system can be fuzzified. There are two main characteristics of fuzzy systems that give them better performance fΓΌr specific applications.

✦ Table of Contents


Front Matter....Pages I-XII
Fuzzy systems....Pages 1-131
Artificial neural networks....Pages 133-170
Fuzzy neural networks....Pages 171-254
Appendix....Pages 255-286
Back Matter....Pages 287-289

✦ Subjects


Artificial Intelligence (incl. Robotics); Business Information Systems; Operation Research/Decision Theory


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