Metric Spaces Of Fuzzy Sets Theory And Applications

Download Metric Spaces Of Fuzzy Sets Theory And Applications full books in PDF, epub, and Kindle. Read online Metric Spaces Of Fuzzy Sets Theory And Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Metric Spaces of Fuzzy Sets

Author : Phil Diamond
Publisher : World Scientific
ISBN 13 : 9789810217310
Total Pages : 192 pages
Book Rating : 4.2/5 (173 download)

DOWNLOAD NOW!

Book Synopsis Metric Spaces of Fuzzy Sets by : Phil Diamond

Download or read book Metric Spaces of Fuzzy Sets written by Phil Diamond and published by World Scientific. This book was released on 1994 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ?n. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.

Metric Spaces Of Fuzzy Sets: Theory And Applications

Author : Phil Diamond
Publisher : World Scientific
ISBN 13 : 9814518115
Total Pages : 190 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!

Book Synopsis Metric Spaces Of Fuzzy Sets: Theory And Applications by : Phil Diamond

Download or read book Metric Spaces Of Fuzzy Sets: Theory And Applications written by Phil Diamond and published by World Scientific. This book was released on 1994-05-28 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.

FUZZY SOFT METRIC SPACE

Author : M.Vasuky
Publisher : Shanlax Publications
ISBN 13 : 9389658101
Total Pages : 66 pages
Book Rating : 4.3/5 (896 download)

DOWNLOAD NOW!

Book Synopsis FUZZY SOFT METRIC SPACE by : M.Vasuky

Download or read book FUZZY SOFT METRIC SPACE written by M.Vasuky and published by Shanlax Publications. This book was released on with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The various uncertainties arise in complicated problems in Economics, Engineering, Environmental Science, Medical Science and Social Science. The methods of classical Mathematics may not be successfully used to solve them. Mathematical theories such as probability theory, fuzzy set theory and rough set theory were established by researchers to model uncertainties appearing in the above fields. But all these theories have their own difficulties. To overcome these difficulties, In 1999 Molodstov[7] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties. As the problem of setting the membership function does not arise in soft set theory, it can be easily applied to many different fields. In 2003, Maji.et.al.[5] studied some operations on the soft set theory. In 2009, M.I.Ali et.al.[1] studied some new operations on soft sets and its applications. In 2013, Sujoy Das et.al.[11] proposed soft metric space. In 2015, Thangaraj Beaula et.al.,[12] established the fuzzy soft metric spaces. In chapter 1, the basic definitions, examples, properties and theorems are given which are used for throughout the dissertation. In chapter 2, we defined Fuzzy soft metric space with suitable illustrations. We proved arbitrary union of fuzzy soft open set is fuzzy soft open set and the intersection of finite number of fuzzy soft open set is fuzzy soft open set. In chapter 3, Cauchy sequence are defined. First category, second category, dense, nowhere dense are all defined with suitable illustrations. We established Cantor intersection theorem on complete fuzzy soft metric space and also we proved Baires category theorem on fuzzy soft metric space. In chapter 4, fuzzy soft open cover, fuzzy soft compact set and fuzzy soft totally bounded set are defined. We proved some important theorems. Also we defined Bolzano Weirstress property and based on this we proved theorem namely fuzzy soft metric space becomes fuzzy soft sequentially compact if and only if fuzzy soft metric space has the property Bolzano Weirstrass. In chapter 5, we defined convex fuzzy soft metric space. Also we defined self mapping, fixed point and convergence of convex fuzzy soft metric space. Using these all we proved fixed point theorem on convex fuzzy soft metric space.

Recent Advances and Applications of Fuzzy Metric Fixed Point Theory

Author : Dhananjay Gopal
Publisher : CRC Press
ISBN 13 : 1003812783
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Recent Advances and Applications of Fuzzy Metric Fixed Point Theory by : Dhananjay Gopal

Download or read book Recent Advances and Applications of Fuzzy Metric Fixed Point Theory written by Dhananjay Gopal and published by CRC Press. This book was released on 2023-12-08 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction. It contains seven chapters on different topics in fuzzy metric fixed point theory. These chapters cover a good range of interesting topics such as con- vergence problems in fuzzy metrics, fixed figure problems, and applications of fuzzy metrics. The main focus is to unpack a number of diverse aspects of fuzzy metric fixed point theory and its applications in an understandable way so that it could help and motivate young graduates to explore new avenues of research to extend this flourishing area in different directions. The discussion on fixed figure problems and fuzzy contractive fixed point theorems and their different generalizations invites active researchers in this field to develop a new branch of fixed point theory. Features: Explore the latest research and developments in fuzzy metric fixed point theory. Describes applications of fuzzy metrics to colour image processing. Covers new topics on fuzzy fixed figure problems. Filled with examples and open problems. This book serves as a reference book for scientific investigators who want to analyze a simple and direct presentation of the fundamentals of the theory of fuzzy metric fixed point and its applications. It may also be used as a textbook for postgraduate and research students who try to derive future research scope in this area.

Fuzzy Intelligent Systems

Author : E. Chandrasekaran
Publisher : John Wiley & Sons
ISBN 13 : 1119760453
Total Pages : 482 pages
Book Rating : 4.1/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Intelligent Systems by : E. Chandrasekaran

Download or read book Fuzzy Intelligent Systems written by E. Chandrasekaran and published by John Wiley & Sons. This book was released on 2021-09-08 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: FUZZY INTELLIGENT SYSTEMS A comprehensive guide to Expert Systems and Fuzzy Logic that is the backbone of artificial intelligence. The objective in writing the book is to foster advancements in the field and help disseminate results concerning recent applications and case studies in the areas of fuzzy logic, intelligent systems, and web-based applications among working professionals and those in education and research covering a broad cross section of technical disciplines. Fuzzy Intelligent Systems: Methodologies, Techniques, and Applications comprises state-of-the-art chapters detailing how expert systems are built and how the fuzzy logic resembling human reasoning, powers them. Engineers, both current and future, need systematic training in the analytic theory and rigorous design of fuzzy control systems to keep up with and advance the rapidly evolving field of applied control technologies. As a consequence, expert systems with fuzzy logic capabilities make for a more versatile and innovative handling of problems. This book showcases the combination of fuzzy logic and neural networks known as a neuro-fuzzy system, which results in a hybrid intelligent system by combining a human-like reasoning style of neural networks. Audience Researchers and students in computer science, Internet of Things, artificial intelligence, machine learning, big data analytics and information and communication technology-related fields. Students will gain a thorough understanding of fuzzy control systems theory by mastering its contents.

Fuzzy Set Theory—and Its Applications

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
ISBN 13 : 9401006466
Total Pages : 526 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Set Theory—and Its Applications by : Hans-Jürgen Zimmermann

Download or read book Fuzzy Set Theory—and Its Applications written by Hans-Jürgen Zimmermann and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.

Fuzzy Sets Theory and Applications

Author : André Jones
Publisher : Springer Science & Business Media
ISBN 13 : 9400946821
Total Pages : 405 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets Theory and Applications by : André Jones

Download or read book Fuzzy Sets Theory and Applications written by André Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in decision making and in other areas such as pattern recogni tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as uncertain data are concerned, we have neither instru ments nor reasoning at our disposal as well defined and unquestionable as those used in the probability theory. This almost infallible do main is the result of a tremendous work by the whole scientific world. But when measures are dubious, bad or no longer possible and when we really have to make use of the richness of human reasoning in its variety, then the theories dealing with the treatment of uncertainty, some quite new and other ones older, provide the required complement, and fill in the gap left in the field of knowledge representation. Nowadays, various theories are widely used: fuzzy sets, belief function, the convenient associations between probability and fuzzines~ etc ••• We are more and more in need of a wide range of instruments and theories to build models that are more and more adapted to the most complex systems.

Fundamentals of Fuzzy Sets

Author : Didier Dubois
Publisher : Springer Science & Business Media
ISBN 13 : 1461544297
Total Pages : 660 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Fundamentals of Fuzzy Sets by : Didier Dubois

Download or read book Fundamentals of Fuzzy Sets written by Didier Dubois and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

Fuzzy Sets and Fuzzy Logic

Author : George J. Klir
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets and Fuzzy Logic by : George J. Klir

Download or read book Fuzzy Sets and Fuzzy Logic written by George J. Klir and published by Prentice Hall. This book was released on 1995 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: No previous knowledge of fuzzy set theory and fuzzy logic is required for understanding the material covered in the book. Although knowledge of basic ideas of classical (nonfuzzy) set theory and classical (two-valued) logic is useful, fundamentals of these subject areas are briefly overviewed in the book. In addition, basic ideas of neural networks, genetic algorithms, and rough sets are also explained. This makes the book virtually self-contained.

Fuzzy Operator Theory in Mathematical Analysis

Author : Yeol Je Cho
Publisher : Springer
ISBN 13 : 3319935011
Total Pages : 411 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Operator Theory in Mathematical Analysis by : Yeol Je Cho

Download or read book Fuzzy Operator Theory in Mathematical Analysis written by Yeol Je Cho and published by Springer. This book was released on 2018-08-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented. Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.

10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019

Author : Rafik A. Aliev
Publisher : Springer Nature
ISBN 13 : 3030352498
Total Pages : 997 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!

Book Synopsis 10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019 by : Rafik A. Aliev

Download or read book 10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019 written by Rafik A. Aliev and published by Springer Nature. This book was released on 2019-11-19 with total page 997 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 10th Conference on Theory and Applications of Soft Computing, Computing with Words and Perceptions, ICSCCW 2019, held in Prague, Czech Republic, on August 27–28, 2019. It includes contributions from diverse areas of soft computing and computing with words, such as uncertain computation, decision-making under imperfect information, neuro-fuzzy approaches, deep learning, natural language processing, and others. The topics of the papers include theory and applications of soft computing, information granulation, computing with words, computing with perceptions, image processing with soft computing, probabilistic reasoning, intelligent control, machine learning, fuzzy logic in data analytics and data mining, evolutionary computing, chaotic systems, soft computing in business, economics and finance, fuzzy logic and soft computing in earth sciences, fuzzy logic and soft computing in engineering, fuzzy logic and soft computing in material sciences, soft computing in medicine, biomedical engineering, and pharmaceutical sciences. Showcasing new ideas in the field of theories of soft computing and computing with words and their applications in economics, business, industry, education, medicine, earth sciences, and other fields, it promotes the development and implementation of these paradigms in various real-world contexts. This book is a useful guide for academics, practitioners and graduates.

Applications of Category Theory to Fuzzy Subsets

Author : S.E. Rodabaugh
Publisher : Springer Science & Business Media
ISBN 13 : 9780792315117
Total Pages : 426 pages
Book Rating : 4.3/5 (151 download)

DOWNLOAD NOW!

Book Synopsis Applications of Category Theory to Fuzzy Subsets by : S.E. Rodabaugh

Download or read book Applications of Category Theory to Fuzzy Subsets written by S.E. Rodabaugh and published by Springer Science & Business Media. This book was released on 1991-11-30 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more importantly, it is the culmination of the tradition of the preceding ten Seminars. The purpose of the Linz Seminar, since its inception, was and is to foster the development of the mathematical aspects of fuzzy sets. In the earlier years, this was accomplished by bringing together for a week small grou ps of mathematicians in various fields in an intimate, focused environment which promoted much informal, critical discussion in addition to formal presentations. Beginning with the tenth Seminar, the intimate setting was retained, but each Seminar narrowed in theme; and participation was broadened to include both younger scholars within, and established mathematicians outside, the mathematical mainstream of fuzzy sets theory. Most of the material of this book was developed over the years in close association with the Seminar or influenced by what transpired at Linz. For much of the content, it played a crucial role in either stimulating this material or in providing feedback and the necessary screening of ideas. Thus we may fairly say that the book, and the eleventh Seminar to which it is directly related, are in many respects a culmination of the previous Seminars.

Fuzzy Set Theory and Its Applications

Author : H. J. Zimmerman
Publisher : Allied Publishers
ISBN 13 : 9788170235255
Total Pages : 430 pages
Book Rating : 4.2/5 (352 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Set Theory and Its Applications by : H. J. Zimmerman

Download or read book Fuzzy Set Theory and Its Applications written by H. J. Zimmerman and published by Allied Publishers. This book was released on 1996 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Topology

Author : Ying-ming Liu
Publisher : World Scientific
ISBN 13 : 9814518204
Total Pages : 365 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Topology by : Ying-ming Liu

Download or read book Fuzzy Topology written by Ying-ming Liu and published by World Scientific. This book was released on 1998-02-28 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called “pointed approach” and the effects of stratification structure appearing in fuzzy sets.The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.

Recent Advances in Intuitionistic Fuzzy Logic Systems

Author : Said Melliani
Publisher : Springer
ISBN 13 : 3030021556
Total Pages : 320 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems written by Said Melliani and published by Springer. This book was released on 2018-10-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.

Fuzzy Sets & their Application to Clustering & Training

Author : Beatrice Lazzerini
Publisher : CRC Press
ISBN 13 : 1482273977
Total Pages : 667 pages
Book Rating : 4.4/5 (822 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Sets & their Application to Clustering & Training by : Beatrice Lazzerini

Download or read book Fuzzy Sets & their Application to Clustering & Training written by Beatrice Lazzerini and published by CRC Press. This book was released on 2000-03-24 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy set theory - and its underlying fuzzy logic - represents one of the most significant scientific and cultural paradigms to emerge in the last half-century. Its theoretical and technological promise is vast, and we are only beginning to experience its potential. Clustering is the first and most basic application of fuzzy set theory, but forms t

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

Author : Shoumei Li
Publisher : Springer Science & Business Media
ISBN 13 : 9401599327
Total Pages : 399 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables by : Shoumei Li

Download or read book Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables written by Shoumei Li and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms.