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Fuzzy Discrete Structures


Fuzzy Discrete Structures
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Fuzzy Discrete Structures


Fuzzy Discrete Structures
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Author : Davender S. Malik
language : en
Publisher: Physica
Release Date : 2013-11-11

Fuzzy Discrete Structures written by Davender S. Malik and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Computers categories.


This ambitious exposition by Malik and Mordeson on the fuzzification of discrete structures not only supplies a solid basic text on this key topic, but also serves as a viable tool for learning basic fuzzy set concepts "from the ground up" due to its unusual lucidity of exposition. While the entire presentation of this book is in a completely traditional setting, with all propositions and theorems provided totally rigorous proofs, the readability of the presentation is not compromised in any way; in fact, the many ex cellently chosen examples illustrate the often tricky concepts the authors address. The book's specific topics - including fuzzy versions of decision trees, networks, graphs, automata, etc. - are so well presented, that it is clear that even those researchers not primarily interested in these topics will, after a cursory reading, choose to return to a more in-depth viewing of its pages. Naturally, when I come across such a well-written book, I not only think of how much better I could have written my co-authored monographs, but naturally, how this work, as distant as it seems to be from my own area of interest, could nevertheless connect with such. Before presenting the briefest of some ideas in this direction, let me state that my interest in fuzzy set theory (FST) has been, since about 1975, in connecting aspects of FST directly with corresponding probability concepts. One chief vehicle in carrying this out involves the concept of random sets.



Fuzzy Discrete Structures


Fuzzy Discrete Structures
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Author : Davender S. Malik
language : en
Publisher:
Release Date : 2014-01-15

Fuzzy Discrete Structures written by Davender S. Malik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Topological And Algebraic Structures In Fuzzy Sets


Topological And Algebraic Structures In Fuzzy Sets
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Author : S.E. Rodabaugh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Topological And Algebraic Structures In Fuzzy Sets written by S.E. Rodabaugh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook", namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish ers, 1999). Many of the topological chapters of the present work are not only based upon the foundations and notation for topology laid down in the Hand book, but also upon Handbook developments in convergence, uniform spaces, compactness, separation axioms, and canonical examples; and thus this work is, with respect to topology, a continuation of the standardization of the Hand book. At the same time, this work significantly complements the Handbook in regard to algebraic structures. Thus the present volume is an extension of the content and role of the Handbook as a reference work. On the other hand, this volume, even as the Handbook, is a culmination of mathematical developments motivated by the renowned International Sem inar on Fuzzy Set Theory, also known as the Linz Seminar, held annually in Linz, Austria. Much of the material of this volume is related to the Twenti eth Seminar held in February 1999, material for which the Seminar played a crucial and stimulating role, especially in providing feedback, connections, and the necessary screening of ideas.



Fuzzy Logic And Mathematics


Fuzzy Logic And Mathematics
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Author : Radim Bělohlávek
language : en
Publisher: Oxford University Press
Release Date : 2017

Fuzzy Logic And Mathematics written by Radim Bělohlávek and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.


The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.



Synergies In Analysis Discrete Mathematics Soft Computing And Modelling


Synergies In Analysis Discrete Mathematics Soft Computing And Modelling
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Author : P. V. Subrahmanyam
language : en
Publisher: Springer Nature
Release Date : 2023-02-02

Synergies In Analysis Discrete Mathematics Soft Computing And Modelling written by P. V. Subrahmanyam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-02 with Mathematics categories.


This book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing. All the papers were presented at the international conference on FIM28-SCMSPS20 virtually held at Sri Sivasubramaniya Nadar (SSN) College of Engineering, Chennai, India, and Stella Maris College (Autonomous), Chennai, from November 23–27, 2020. The conference was jointly held with the support of the Forum for Interdisciplinary Mathematics. Both the invited articles and submitted papers were broadly grouped under three heads: Part 1 on analysis and modeling (six chapters), Part 2 on discrete mathematics and applications (six chapters), and Part 3 on fuzzy sets and soft computing (three chapters).



Discrete Mathematical Structures


Discrete Mathematical Structures
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Author : D. S. Malik
language : en
Publisher:
Release Date : 2004

Discrete Mathematical Structures written by D. S. Malik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computer science categories.


Discrete Mathematical Structures teaches students the mathematical foundations of computer science, including logic, Boolean algebra, basic graph theory, finite state machines, grammars, and algorithms. Authors Malik and Sen employ a classroom-tested, student-focused approach that is conducive to effective learning. Each chapter motivates students through the use of real-world, concrete examples, and ample exercise sets provide additional practice. All chapters contain extensive Worked-Out Exercises designed to demonstrate problem-solving techniques.



An Introduction To Fuzzy Logic And Fuzzy Sets


An Introduction To Fuzzy Logic And Fuzzy Sets
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Author : James J. Buckley
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

An Introduction To Fuzzy Logic And Fuzzy Sets written by James J. Buckley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Computers categories.


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.



Mathematics Of Fuzzy Sets


Mathematics Of Fuzzy Sets
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Author : Ulrich Höhle
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-12-31

Mathematics Of Fuzzy Sets written by Ulrich Höhle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-31 with Business & Economics categories.


Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton–Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.



Fuzzy Mathematics In Economics And Engineering


Fuzzy Mathematics In Economics And Engineering
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Author : James J. Buckley
language : en
Publisher: Physica
Release Date : 2013-06-05

Fuzzy Mathematics In Economics And Engineering written by James J. Buckley and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Business & Economics categories.


The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus.



Discrete Mathematics


Discrete Mathematics
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Author : Prof. Sudarsan Nanda
language : en
Publisher: Allied Publishers
Release Date : 2022-02-28

Discrete Mathematics written by Prof. Sudarsan Nanda and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-28 with Mathematics categories.


The book contains topics as per the model syllabus of the University Grants Commission (UGC), India and is suitable for undergraduate (B.Tech) students of computer Science and Engineering and mathematics and postgraduate students of computer Application (MCA) and mathematics. The book has been made self-contained with preliminary chapters on mathematical logic and set theory which also form the part of the syllabus. Besides these topics, the book contains subjects like combinatorics, graph theory, algebraic structures such as: groups, rings, Boolean Algebra and also topics like finite state machine (theory of computation) and probability. The book has been written in a simple and lucid manner, with examples and applications to Computer Science. Finally it contains an additional chapter on fuzzy set theory.