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Approximate Reasoning by Parts

2011-08-27 Technology & Engineering
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Release : 2011-08-27
Genre : Technology & Engineering
Kind : eBook
Book Rating : 79X/5 ( reviews)

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Book Synopsis Approximate Reasoning by Parts by : Lech Polkowski

Download or read book Approximate Reasoning by Parts written by Lech Polkowski. This book was released on 2011-08-27. Available in PDF, EPUB and Kindle. Book excerpt: The monograph offers a view on Rough Mereology, a tool for reasoning under uncertainty, which goes back to Mereology, formulated in terms of parts by Lesniewski, and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree. The result is a theory based on the notion of a part to a degree. One can invoke here a formula Rough: Rough Mereology : Mereology = Fuzzy Set Theory : Set Theory. As with Mereology, Rough Mereology finds important applications in problems of Spatial Reasoning, illustrated in this monograph with examples from Behavioral Robotics. Due to its involvement with concepts, Rough Mereology offers new approaches to Granular Computing, Classifier and Decision Synthesis, Logics for Information Systems, and are--formulation of well--known ideas of Neural Networks and Many Agent Systems. All these approaches are discussed in this monograph. To make the exposition self--contained, underlying notions of Set Theory, Topology, and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead--Leonard--Goodman--Clarke versions are discussed at length. It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a new tool to deal with analysis of relations among concepts.

Fuzzy Sets in Approximate Reasoning and Information Systems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 435/5 ( reviews)

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Book Synopsis Fuzzy Sets in Approximate Reasoning and Information Systems by : J.C. Bezdek

Download or read book Fuzzy Sets in Approximate Reasoning and Information Systems written by J.C. Bezdek. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Approximate reasoning is a key motivation in fuzzy sets and possibility theory. This volume provides a coherent view of this field, and its impact on database research and information retrieval. First, the semantic foundations of approximate reasoning are presented. Special emphasis is given to the representation of fuzzy rules and specialized types of approximate reasoning. Then syntactic aspects of approximate reasoning are surveyed and the algebraic underpinnings of fuzzy consequence relations are presented and explained. The second part of the book is devoted to inductive and neuro-fuzzy methods for learning fuzzy rules. It also contains new material on the application of possibility theory to data fusion. The last part of the book surveys the growing literature on fuzzy information systems. Each chapter contains extensive bibliographical material. Fuzzy Sets in Approximate Reasoning and Information Systems is a major source of information for research scholars and graduate students in computer science and artificial intelligence, interested in human information processing.

Case-Based Approximate Reasoning

2007-03-20 Computers
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Release : 2007-03-20
Genre : Computers
Kind : eBook
Book Rating : 958/5 ( reviews)

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Book Synopsis Case-Based Approximate Reasoning by : Eyke Hüllermeier

Download or read book Case-Based Approximate Reasoning written by Eyke Hüllermeier. This book was released on 2007-03-20. Available in PDF, EPUB and Kindle. Book excerpt: Making use of different frameworks of approximate reasoning and reasoning under uncertainty, notably probabilistic and fuzzy set-based techniques, this book develops formal models of the above inference principle, which is fundamental to CBR. The case-based approximate reasoning methods thus obtained especially emphasize the heuristic nature of case-based inference and aspects of uncertainty in CBR.

An Introduction to Fuzzy Logic and Fuzzy Sets

2013-11-11 Computers
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Release : 2013-11-11
Genre : Computers
Kind : eBook
Book Rating : 996/5 ( reviews)

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Book Synopsis An Introduction to Fuzzy Logic and Fuzzy Sets by : James J. Buckley

Download or read book An Introduction to Fuzzy Logic and Fuzzy Sets written by James J. Buckley. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications. It includes many figures and problem sets at the end of sections.

Foundations of Computational Intelligence Volume 2

2009-05-27 Technology & Engineering
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Release : 2009-05-27
Genre : Technology & Engineering
Kind : eBook
Book Rating : 336/5 ( reviews)

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Book Synopsis Foundations of Computational Intelligence Volume 2 by : Aboul-Ella Hassanien

Download or read book Foundations of Computational Intelligence Volume 2 written by Aboul-Ella Hassanien. This book was released on 2009-05-27. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Computational Intelligence Volume 2: Approximation Reasoning: Theoretical Foundations and Applications Human reasoning usually is very approximate and involves various types of - certainties. Approximate reasoning is the computational modelling of any part of the process used by humans to reason about natural phenomena or to solve real world problems. The scope of this book includes fuzzy sets, Dempster-Shafer theory, multi-valued logic, probability, random sets, and rough set, near set and hybrid intelligent systems. Besides research articles and expository papers on t- ory and algorithms of approximation reasoning, papers on numerical experiments and real world applications were also encouraged. This Volume comprises of 12 chapters including an overview chapter providing an up-to-date and state-of-the research on the applications of Computational Intelligence techniques for - proximation reasoning. The Volume is divided into 2 parts: Part-I: Approximate Reasoning – Theoretical Foundations Part-II: Approximate Reasoning – Success Stories and Real World Applications Part I on Approximate Reasoning – Theoretical Foundations contains four ch- ters that describe several approaches of fuzzy and Para consistent annotated logic approximation reasoning. In Chapter 1, “Fuzzy Sets, Near Sets, and Rough Sets for Your Computational Intelligence Toolbox” by Peters considers how a user might utilize fuzzy sets, near sets, and rough sets, taken separately or taken together in hybridizations as part of a computational intelligence toolbox. In multi-criteria decision making, it is necessary to aggregate (combine) utility values corresponding to several criteria (parameters).

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