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Fuzzy Systems To Quantum Mechanics

Fuzzy Systems To Quantum Mechanics PDF Author: Li Hong-xing
Publisher: World Scientific
ISBN: 9811211205
Category : Computers
Languages : en
Pages : 508

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Book Description
This unique compendium represents important action of fuzzy systems to quantum mechanics. From fuzzy sets to fuzzy systems, it also gives clear descriptions on the development on fuzzy logic, where the most important result is the probability presentation of fuzzy systems.The important conclusions on fuzzy systems are used in the study of quantum mechanics, which is a very new idea. Eight important conclusions are obtained. The author has proved that mass-point motions in classical mechanics must have waves, which means that any mass-point motion in classical mechanics has wave mass-point dualism as well as any microscopic particle motion must have wave-particle dualism. Based on this conclusion, it has been proven that classical mechanics and quantum mechanics are unified.

Fuzzy Systems To Quantum Mechanics

Fuzzy Systems To Quantum Mechanics PDF Author: Li Hong-xing
Publisher: World Scientific
ISBN: 9811211205
Category : Computers
Languages : en
Pages : 508

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Book Description
This unique compendium represents important action of fuzzy systems to quantum mechanics. From fuzzy sets to fuzzy systems, it also gives clear descriptions on the development on fuzzy logic, where the most important result is the probability presentation of fuzzy systems.The important conclusions on fuzzy systems are used in the study of quantum mechanics, which is a very new idea. Eight important conclusions are obtained. The author has proved that mass-point motions in classical mechanics must have waves, which means that any mass-point motion in classical mechanics has wave mass-point dualism as well as any microscopic particle motion must have wave-particle dualism. Based on this conclusion, it has been proven that classical mechanics and quantum mechanics are unified.

Fuzzy Logic, Soft Computing and Computational Intelligence

Fuzzy Logic, Soft Computing and Computational Intelligence PDF Author:
Publisher: 清华大学出版社有限公司
ISBN: 9787302113775
Category : Computational intelligence
Languages : en
Pages : 594

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Book Description


Quantum Physics, Fuzzy Sets and Logic

Quantum Physics, Fuzzy Sets and Logic PDF Author: Jarosław Pykacz
Publisher: Springer
ISBN: 3319193848
Category : Science
Languages : en
Pages : 70

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Book Description
This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.

Fuzzy Logic and Mathematics

Fuzzy Logic and Mathematics PDF Author: Radim Belohlávek
Publisher: Oxford University Press
ISBN: 0190200014
Category : Mathematics
Languages : en
Pages : 544

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Book Description
The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.

Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures PDF Author: Kurt Engesser
Publisher: Elsevier
ISBN: 9780080550381
Category : Computers
Languages : en
Pages : 818

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Book Description
Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic - A comprehensive presentation of the theory, approaches and results in the field of quantum logic - Volume focuses on quantum structures

Fifty Years of Fuzzy Logic and its Applications

Fifty Years of Fuzzy Logic and its Applications PDF Author: Dan E. Tamir
Publisher: Springer
ISBN: 3319196839
Category : Technology & Engineering
Languages : en
Pages : 684

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Book Description
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.

Towards the Future of Fuzzy Logic

Towards the Future of Fuzzy Logic PDF Author: Rudolf Seising
Publisher: Springer
ISBN: 3319187503
Category : Technology & Engineering
Languages : en
Pages : 376

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Book Description
This book provides readers with a snapshot of the state-of-the art in fuzzy logic. Throughout the chapters, key theories developed in the last fifty years as well as important applications to practical problems are presented and discussed from different perspectives, as the authors hail from different disciplines and therefore use fuzzy logic for different purposes. The book aims at showing how fuzzy logic has evolved since the first theory formulation by Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories and implementation grew at an impressive speed and achieved significant results, especially on the applicative side. The study of fuzzy logic and its practice spread all over the world, from Europe to Asia, America and Oceania. The editors believe that, thanks to the drive of young researchers, fuzzy logic will be able to face the challenging goals posed by computing with words. New frontiers of knowledge are waiting to be explored. In order to motivate young people to engage in the future development of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the editors invited a team of internationally respected experts to write the present collection of papers, which shows the present and future potentials of fuzzy logic from different disciplinary perspectives and personal standpoints.

Fuzzy Inference System

Fuzzy Inference System PDF Author: Mohammad Fazle Azeem
Publisher: BoD – Books on Demand
ISBN: 9535105256
Category : Computers
Languages : en
Pages : 518

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Book Description
This book is an attempt to accumulate the researches on diverse inter disciplinary field of engineering and management using Fuzzy Inference System (FIS). The book is organized in seven sections with twenty two chapters, covering a wide range of applications. Section I, caters theoretical aspects of FIS in chapter one. Section II, dealing with FIS applications to management related problems and consisting three chapters. Section III, accumulates six chapters to commemorate FIS application to mechanical and industrial engineering problems. Section IV, elaborates FIS application to image processing and cognition problems encompassing four chapters. Section V, describes FIS application to various power system engineering problem in three chapters. Section VI highlights the FIS application to system modeling and control problems and constitutes three chapters. Section VII accommodates two chapters and presents FIS application to civil engineering problem.

Fuzzy Logic in Chemistry

Fuzzy Logic in Chemistry PDF Author: Dennis H. Rouvray
Publisher: Academic Press
ISBN: 9780080532257
Category : Science
Languages : en
Pages : 364

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Book Description
Fuzzy Logic has gained increasing acceptance as a way to deal with complexity and uncertainty in many areas of science and engineering. This book is the first to address its practical applications to chemical systems. Ten distinguished authors discuss the role of fuzzy logic in the characterization of a variety of chemical concepts, including chirality, quantum systems, molecular engineering and design, and hierarchical classification methods. Fuzzy Logic in Chemistry will appeal to both students and professionals who are seeking to learn more about theory and applications in an area of growing importance to the physical sciences. The first book on the applications of fuzzy logic in chemistry Covers a topic relevant to many disciplines, including molecular design Discusses applications of fuzzy logic to the physical sciences, a rapidly growing area Features chapters from highly distinguished authors in the physical sciences

Quality, Reliability and Maintenance 2004

Quality, Reliability and Maintenance 2004 PDF Author: G. J. McNulty
Publisher: John Wiley & Sons
ISBN: 9781860584404
Category : Technology & Engineering
Languages : en
Pages : 336

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Book Description
The papers included in this volume were presented at the 5th international conference on Quality, Reliability and Maintenance which took place at the University of Oxford in April 2004. They highlight the importance of the QRM disciplines and represent the latest developments, trends and progress, and are essential reference material for all reasearch academics, quality planners, maintenance executives and personnel who have the responsibility to implement the findings of quality audits and maintenance policy. Quality, Reliabilty, and Maintenance - be it in industry, commerce, education, or academia - influences and guides every contemporary aspect of our lives. This collection of papers includes topics such as: Quality Analysis Condition Monitoring Maintenance Management Computer Applications Education and Training Research Applications