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Fuzzy Partial Differential Equations and Relational Equations

2013-04-17 Technology & Engineering
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Release : 2013-04-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 756/5 ( reviews)

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Book Synopsis Fuzzy Partial Differential Equations and Relational Equations by : Masoud Nikravesh

Download or read book Fuzzy Partial Differential Equations and Relational Equations written by Masoud Nikravesh. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: During last decade significant progress has been made in the oil indus try by using soft computing technology. Underlying this evolving technology there have, been ideas transforming the very language we use to describe problems with imprecision, uncertainty and partial truth. These developments offer exciting opportunities, but at the same time it is becoming clearer that further advancements are confronted by funda mental problems. The whole idea of how human process information lies at the core of the challenge. There are already new ways of thinking about the problems within theory of perception-based information. This theory aims to understand and harness the laws of human perceptions to dramatically im prove the processing of information. A matured theory of perception-based information is likely to be proper positioned to contribute to the solution of the problems and provide all the ingredients for a revolution in science, technology and business. In this context, Berkeley Initiative in Soft Computing (BISC), Univer sity of California, Berkeley from one side and Chevron-Texaco from another formed a Technical Committee to organize a Meeting entitled "State of the Art Assessment and New Directions for Research" to understand the signifi cance of the fields accomplishments, new developments and future directions. The Technical Committee selected and invited 15 scientists (and oil indus try experts as technical committee members) from the related disciplines to participate in the Meeting, which took place at the University of California, Berkeley, and March 15-17, 2002.

Fuzzy Differential Equations and Applications for Engineers and Scientists

2016-11-25 Mathematics
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Release : 2016-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 531/5 ( reviews)

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Book Synopsis Fuzzy Differential Equations and Applications for Engineers and Scientists by : S. Chakraverty

Download or read book Fuzzy Differential Equations and Applications for Engineers and Scientists written by S. Chakraverty. This book was released on 2016-11-25. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Fuzzy Differential Equations in Various Approaches

2015-09-07 Mathematics
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Release : 2015-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Fuzzy Differential Equations in Various Approaches by : Luciana Takata Gomes

Download or read book Fuzzy Differential Equations in Various Approaches written by Luciana Takata Gomes. This book was released on 2015-09-07. Available in PDF, EPUB and Kindle. Book excerpt: This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.

Fuzzy Relation Equations and Their Applications to Knowledge Engineering

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 501/5 ( reviews)

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Book Synopsis Fuzzy Relation Equations and Their Applications to Knowledge Engineering by : Antonio Di Nola

Download or read book Fuzzy Relation Equations and Their Applications to Knowledge Engineering written by Antonio Di Nola. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we leam about the basically simple coneept of a relation, the more aware we become of its fundamental importanee and wide ranging ramifications. The work by Di Nola, Pedrycz, Sanchez, and Sessa takes us a long distanee in this direction by opening new vistas on both the theory and applications of fuzzy relations - relations which serve to model the imprecise coneepts which pervade the real world. Di Nola, Pedrycz, Sanchez, and Sessa focus their attention on a eentral problem in the theory of fuzzy relations, namely the solution of fuzzy relational equations. The theory of such equations was initiated by Sanchez in 1976, ina seminal paper dealing with the resolution of composite fuzzy relational equations. Sinee then, hundreds of papers have been written on this and related topics, with major contributions originating in France, Italy, Spain, Germany, Poland, Japan, China, the Soviet Union, India, and other countries. The bibliography included in this volume highlights the widespread interest in the theory of fuzzy relational equations and the broad spectrum of its applications.

Fuzzy Relational Calculus: Theory, Applications And Software (With Cd-rom)

2005-01-06 Computers
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Release : 2005-01-06
Genre : Computers
Kind : eBook
Book Rating : 572/5 ( reviews)

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Book Synopsis Fuzzy Relational Calculus: Theory, Applications And Software (With Cd-rom) by : Yordan Kostadinov Kyosev

Download or read book Fuzzy Relational Calculus: Theory, Applications And Software (With Cd-rom) written by Yordan Kostadinov Kyosev. This book was released on 2005-01-06. Available in PDF, EPUB and Kindle. Book excerpt: This book examines fuzzy relational calculus theory with applications in various engineering subjects. The scope of the text covers unified and exact methods with algorithms for direct and inverse problem resolution in fuzzy relational calculus. Extensive engineering applications of fuzzy relation compositions and fuzzy linear systems (linear, relational and intuitionistic) are discussed. Some examples of such applications include solutions of equivalence, reduction and minimization problems in fuzzy machines, pattern recognition in fuzzy languages, optimization and inference engines in textile and chemical engineering, etc. A comprehensive overview of the authors' original work in fuzzy relational calculus is also provided in each chapter.The attached CD-Rom contains a toolbox with many functions for fuzzy calculations, together with an original algorithm for inverse problem resolution in MATLAB. This book is also suitable for use as a textbook in related courses at advanced undergraduate and graduate levels.

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