Applied Fuzzy Arithmetic An Introduction With Engineering Applications

Author : Michael Hanss
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 50,7 Mb
Release : 2005-02-11
Category : Computers
ISBN : 9783540242017

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Applied Fuzzy Arithmetic by Michael Hanss Pdf

First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style. Provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences making it useful for graduate courses, researchers and engineers. Presents the basic definitions and fundamental principles of fuzzy arithmetic, derived from fuzzy set theory. Summarizes the state-of-the-art stage of fuzzy arithmetic, offers a comprehensive composition of different approaches including their benefits and drawbacks, and finally, and presents a completely new methodology of implementation of fuzzy arithmetic with particular emphasis on its subsequent application to real-world systems. Concentrates on the application of fuzzy arithmetic to the simulation, analysis and identification of systems with uncertain model parameters, as they appear in various disciplines of engineering science. Focuses on mechanical engineering, geotechnical engineering, biomedical engineering, and control engineering.

Author : Hanss
Publisher : Unknown
Page : 269 pages
File Size : 40,9 Mb
Release : 2009-08-01
Category : Electronic
ISBN : 8184893000

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Applied Fuzzy Arithmetic: An Introduction With Engineering Applications by Hanss Pdf

Author : Arnold Kaufmann,Madan M. Gupta
Publisher : Unknown
Page : 388 pages
File Size : 54,6 Mb
Release : 1991
Category : Mathematics
ISBN : UVA:X002110582

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Introduction to Fuzzy Arithmetic by Arnold Kaufmann,Madan M. Gupta Pdf

Here's how to use fuzzy logic to overcome design challenges of designing and analyzing complex processes in order to make televisions, camcorders, washing machines, and other products run more efficiently.

Author : S. Chakraverty,Smita Tapaswini,Diptiranjan Behera
Publisher : CRC Press
Page : 142 pages
File Size : 48,6 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781315355535

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Fuzzy Differential Equations and Applications for Engineers and Scientists by S. Chakraverty,Smita Tapaswini,Diptiranjan Behera Pdf

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.

Author : Piotr Prokopowicz,Jacek Czerniak,Dariusz Mikołajewski,Łukasz Apiecionek,Dominik Ślȩzak
Publisher : Springer
Page : 322 pages
File Size : 46,6 Mb
Release : 2017-10-18
Category : Technology & Engineering
ISBN : 9783319596143

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Theory and Applications of Ordered Fuzzy Numbers by Piotr Prokopowicz,Jacek Czerniak,Dariusz Mikołajewski,Łukasz Apiecionek,Dominik Ślȩzak Pdf

This book is open access under a CC BY 4.0 license. This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other fuzzy number representation models. Primarily intended for engineers and researchers in the field of fuzzy arithmetic, the book also offers a valuable source of basic information on fuzzy models and an easy-to-understand reference guide to their applications for advanced undergraduate students, operations researchers, modelers and managers alike.

Author : S. Chakraverty,Sukanta Nayak
Publisher : CRC Press
Page : 165 pages
File Size : 50,5 Mb
Release : 2017-04-21
Category : Mathematics
ISBN : 9781351667500

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Neutron Diffusion by S. Chakraverty,Sukanta Nayak Pdf

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent developments in nuclear engineering, it is important to study the basic concepts of this field along with the diffusion processes for nuclear reactor design. Also, it is known that uncertainty is a must in every field of engineering and science and, in particular, with regards to nuclear-related problems. As such, one may need to understand the nuclear diffusion principles/theories corresponding with reliable and efficient techniques for the solution of such uncertain problems. Accordingly this book aims to provide a new direction for readers with basic concepts of reactor physics as well as neutron diffusion theory. On the other hand, it also includes uncertainty (in terms of fuzzy, interval, stochastic) and their applications in nuclear diffusion problems in a systematic manner, along with recent developments. The underlying concepts of the presented methods in this book may very well be used/extended to various other engineering disciplines viz. electronics, marine, chemical, mining engineering and other sciences such as physics, chemistry, biotechnology etc. This book then can be widely applied wherever one wants to model their physical problems in terms of non-probabilistic methods viz. fuzzy/stochastic for the true essence of the real problems.

Author : Ross
Publisher : John Wiley & Sons
Page : 656 pages
File Size : 47,6 Mb
Release : 2008
Category : Electronic
ISBN : 8126513373

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Fuzzy Logic: With Engineering Applications, 2Nd Ed by Ross Pdf

Fuzzy logic refers to a large subject dealing with a set of methods to characterize and quantify uncertainty in engineering systems that arise from ambiguity, imprecision, fuzziness, and lack of knowledge. This updated version concentrates on various topics of fuzzy logic combined with an abundance of worked examples, chapter problems and commercial case studies designed to help motivate a mainstream engineering audience· Introduction · Classical Sets and Fuzzy Sets · Classical Relations and Fuzzy Relations · Properties of Membership Functions, Fuzzification, and Defuzzification · Logic and Fuzzy Systems · Development of Membership Functions · Automated Methods for Fuzzy Systems · Fuzzy Systems Simulation · Rule-base Reduction Methods · Decision Making with Fuzzy Information · Fuzzy Classification and Pattern Recognition · Fuzzy Arithmetic and the Extension Principle · Fuzzy Control Systems · Miscellaneous Topics · Monotone Measures: Belief, Plausibility, Probability, and Possibility

Author : Rudolf Seising
Publisher : Springer Science & Business Media
Page : 604 pages
File Size : 46,5 Mb
Release : 2009-04-03
Category : Computers
ISBN : 9783540938019

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Views on Fuzzy Sets and Systems from Different Perspectives by Rudolf Seising Pdf

This book presents the complete philosophy of Fuzzy Set Theory. It offers a collection of views from scholars involved in various research projects concerning fuzziness in science, technology, economic systems, social sciences, logics and philosophy.

Author : Snehashish Chakraverty,Sanjeewa Perera
Publisher : Springer
Page : 178 pages
File Size : 41,9 Mb
Release : 2018-07-17
Category : Computers
ISBN : 9789811311536

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Recent Advances in Applications of Computational and Fuzzy Mathematics by Snehashish Chakraverty,Sanjeewa Perera Pdf

This book addresses the basics of interval/fuzzy set theory, artificial neural networks (ANN) and computational methods. It presents step-by-step modeling for application problems along with simulation and numerical solutions. In general, every science and engineering problem is inherently biased by uncertainty, and there is often a need to model, solve and interpret problems in the world of uncertainty. At the same time, exact information about models and parameters of practical applications is usually not known and precise values do not exist. This book discusses uncertainty in both data and models. It consists of seven chapters covering various aspects of fuzzy uncertainty in application problems, such as shallow water wave equations, static structural problems, robotics, radon diffusion in soil, risk of invasive alien species and air quality quantification. These problems are handled by means of advanced computational and fuzzy theory along with machine intelligence when the uncertainties involved are fuzzy. The proposed computational methods offer new fuzzy computing methods that help other areas of knowledge construction where inexact information is present.

Author : Management Association, Information Resources
Publisher : IGI Global
Page : 1765 pages
File Size : 51,6 Mb
Release : 2017-02-22
Category : Mathematics
ISBN : 9781522519096

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Fuzzy Systems: Concepts, Methodologies, Tools, and Applications by Management Association, Information Resources Pdf

There are a myriad of mathematical problems that cannot be solved using traditional methods. The development of fuzzy expert systems has provided new opportunities for problem-solving amidst uncertainties. Fuzzy Systems: Concepts, Methodologies, Tools, and Applications is a comprehensive reference source on the latest scholarly research and developments in fuzzy rule-based methods and examines both theoretical foundations and real-world utilization of these logic sets. Featuring a range of extensive coverage across innovative topics, such as fuzzy logic, rule-based systems, and fuzzy analysis, this is an essential publication for scientists, doctors, engineers, physicians, and researchers interested in emerging perspectives and uses of fuzzy systems in various sectors.

Author : Rudolf Seising,Enric Trillas,Claudio Moraga,Settimo Termini
Publisher : Springer
Page : 433 pages
File Size : 49,5 Mb
Release : 2013-01-12
Category : Technology & Engineering
ISBN : 9783642356414

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On Fuzziness by Rudolf Seising,Enric Trillas,Claudio Moraga,Settimo Termini Pdf

The notion of Fuzziness stands as one of the really new concepts that have recently enriched the world of Science. Science grows not only through technical and formal advances on one side and useful applications on the other side, but also as consequence of the introduction and assimilation of new concepts in its corpus. These, in turn, produce new developments and applications. And this is what Fuzziness, one of the few new concepts arisen in the XX Century, has been doing so far. This book aims at paying homage to Professor Lotfi A. Zadeh, the “father of fuzzy logic” and also at giving credit to his exceptional work and personality. In a way, this is reflected in the variety of contributions collected in the book. In some of them the authors chose to speak of personal meetings with Lotfi; in others, they discussed how certain papers of Zadeh were able to open for them a new research horizon. Some contributions documented results obtained from the author/s after taking inspiration from a particular idea of Zadeh, thus implicitly acknowledging him. Finally, there are contributions of several “third generation fuzzysists or softies” who were firstly led into the world of Fuzziness by a disciple of Lotfi Zadeh, who, following his example, took care of opening for them a new road in science. Rudolf Seising is Adjoint Researcher at the European Centre for Soft Computing in Mieres, Asturias (Spain). Enric Trillas and Claudio Moraga are Emeritus Researchers at the European Centre for Soft Computing, Mieres, Asturias (Spain). Settimo Termini is Professor of Theoretical Computer Science at the University of Palermo, Italy and Affiliated Researcher at the European Centre for Soft Computing, Mieres, Asturias (Spain)

Author : Jagdev Singh,George A. Anastassiou,Dumitru Baleanu,Carlo Cattani,Devendra Kumar
Publisher : Springer Nature
Page : 632 pages
File Size : 48,6 Mb
Release : 2022-10-13
Category : Technology & Engineering
ISBN : 9789811901799

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Advances in Mathematical Modelling, Applied Analysis and Computation by Jagdev Singh,George A. Anastassiou,Dumitru Baleanu,Carlo Cattani,Devendra Kumar Pdf

This book is a valuable source for graduate students and researchers and provides a comprehensive introduction to recent theories and applications of mathematical modeling and numerical simulation. It includes selected peer-reviewed papers presented at the 4th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2021), held at JECRC University, Jaipur, India, during August 5–7, 2021. The book is focused on mathematical modeling of various problems arising in science and engineering and new efficient numerical approaches for solving linear nonlinear problems and rigorous mathematical theories, which can be used to analyze different kinds of mathematical models. Applications of mathematical methods in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science, and finance are presented.

Author : Jun Ye
Publisher : Infinite Study
Page : 10 pages
File Size : 44,6 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Linear Equations and Application in Traffic Flow Problems by Jun Ye Pdf

We propose some solving methods, including the substitution method, the addition method, and the inverse matrix method, for the system of neutrosophic linear equations or the neutrosophic matrix equation. Finally, an applied example about a traffic flow problem is provided to illustrate the application and effectiveness of handling the indeterminate traffic flow problem by using the system of neutrosophic linear equations.

Author : Dan E. Tamir,Naphtali D. Rishe,Abraham Kandel
Publisher : Springer
Page : 684 pages
File Size : 53,5 Mb
Release : 2015-05-23
Category : Technology & Engineering
ISBN : 9783319196831

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Fifty Years of Fuzzy Logic and its Applications by Dan E. Tamir,Naphtali D. Rishe,Abraham Kandel Pdf

This book presents a comprehensive report on the evolution of Fuzzy Logic since its formulation in Lotfi Zadeh’s seminal paper on “fuzzy sets,” published in 1965. In addition, it features a stimulating sampling from the broad field of research and development inspired by Zadeh’s paper. The chapters, written by pioneers and prominent scholars in the field, show how fuzzy sets have been successfully applied to artificial intelligence, control theory, inference, and reasoning. The book also reports on theoretical issues; features recent applications of Fuzzy Logic in the fields of neural networks, clustering, data mining and software testing; and highlights an important paradigm shift caused by Fuzzy Logic in the area of uncertainty management. Conceived by the editors as an academic celebration of the fifty years’ anniversary of the 1965 paper, this work is a must-have for students and researchers willing to get an inspiring picture of the potentialities, limitations, achievements and accomplishments of Fuzzy Logic-based systems.

Author : Chakraverty, S.
Publisher : IGI Global
Page : 442 pages
File Size : 49,5 Mb
Release : 2014-01-31
Category : Mathematics
ISBN : 9781466649927

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Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems by Chakraverty, S. Pdf

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.