Invertible Fuzzy Topological Spaces

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Invertible Fuzzy Topological Spaces

Author : Anjaly Jose
Publisher : Springer Nature
ISBN 13 : 9811936897
Total Pages : 102 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Invertible Fuzzy Topological Spaces by : Anjaly Jose

Download or read book Invertible Fuzzy Topological Spaces written by Anjaly Jose and published by Springer Nature. This book was released on 2022-09-01 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the invertibility of fuzzy topological spaces and related topics. Certain types of fuzzy topological spaces are introduced, and interrelations between them are brought forth. Various properties of invertible fuzzy topological spaces are presented, and characterizations for completely invertible fuzzy topological spaces are discussed. The relationship between homogeneity and invertibility is examined, and, subsequently, the orbits in an invertible fuzzy topological space are studied. The structure of invertible fuzzy topological spaces is investigated, and a clear picture of the inverting pairs in an invertible fuzzy topological space is introduced. Further, the related spaces such as sums, subspaces, simple extensions, quotient spaces, and product spaces of invertible fuzzy topological spaces are examined. In addition, the effect of invertibility on fuzzy topological properties like separation axioms, axioms of countability, compactness, and fuzzy connectedness in invertible fuzzy topological spaces is established. The book sketches ideas extended to the bigger canvas of L-topology in a very interesting manner.

Fuzzy Linguistic Topological Spaces

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599731754
Total Pages : 195 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Fuzzy Linguistic Topological Spaces by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2012-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Granular Computing

Author : Witold Pedrycz
Publisher : Springer Science & Business Media
ISBN 13 : 9783790813876
Total Pages : 410 pages
Book Rating : 4.8/5 (138 download)

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Book Synopsis Granular Computing by : Witold Pedrycz

Download or read book Granular Computing written by Witold Pedrycz and published by Springer Science & Business Media. This book was released on 2001-06-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Granular Computing is concerned with constructing and processing carried out at the level of information granules. Using information granules, we comprehend the world and interact with it, no matter which intelligent endeavor this may involve. The landscape of granular computing is immensely rich and involves set theory (interval mathematics), fuzzy sets, rough sets, random sets linked together in a highly synergetic environment. This volume is a first comprehensive treatment of this emerging paradigm and embraces its fundamentals, underlying methodological framework, and a sound algorithmic environment. The panoply of applications covered includes system identification, telecommunications, linguistics and music processing. Written by experts in the field, this volume will appeal to all developing intelligent systems, either working at the methodological level or interested in detailed system realization.

Neuro-Fuzzy Associative Machinery for Comprehensive Brain and Cognition Modelling

Author : Vladimir G. Ivancevic
Publisher : Springer
ISBN 13 : 3540483969
Total Pages : 738 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Neuro-Fuzzy Associative Machinery for Comprehensive Brain and Cognition Modelling by : Vladimir G. Ivancevic

Download or read book Neuro-Fuzzy Associative Machinery for Comprehensive Brain and Cognition Modelling written by Vladimir G. Ivancevic and published by Springer. This book was released on 2007-04-11 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a comprehensive introduction into both conceptual and rigorous brain and cognition modelling. It is devoted to understanding, prediction and control of the fundamental mechanisms of brain functioning. The reader will be provided with a scientific tool enabling him or her to perform a competitive research in brain and cognition modelling. This is a graduate–level monographic textbook.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 802 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Intuitionistic Fuzzy Sets Theory

Author : Krassimir T. Atanassov
Publisher : Springer
ISBN 13 : 3642291279
Total Pages : 328 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis On Intuitionistic Fuzzy Sets Theory by : Krassimir T. Atanassov

Download or read book On Intuitionistic Fuzzy Sets Theory written by Krassimir T. Atanassov and published by Springer. This book was released on 2012-04-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to be a comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the author ́s previous book on Intuitionistic Fuzzy Sets, published by Springer in 1999 (Atanassov, Krassimir T., Intuitionistic Fuzzy Sets, Studies in Fuzziness and soft computing, ISBN 978-3-7908-1228-2, 1999). Since the aforementioned book has appeared, the research activity of the author within the area of intuitionistic fuzzy sets has been expanding into many directions. The results of the author ́s most recent work covering the past 12 years as well as the newest general ideas and open problems in this field have been therefore collected in this new book.

Fuzzy Commutative Algebra

Author : Davender S Malik
Publisher : World Scientific
ISBN 13 : 981449559X
Total Pages : 424 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fuzzy Commutative Algebra by : Davender S Malik

Download or read book Fuzzy Commutative Algebra written by Davender S Malik and published by World Scientific. This book was released on 1998-12-08 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L-subgroups of a group, and L-subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given.

Annual Meeting of the North American Fuzzy Information Processing Society--NAFIPS.

Author : North American Fuzzy Information Processing Society. Annual Meeting
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Annual Meeting of the North American Fuzzy Information Processing Society--NAFIPS. by : North American Fuzzy Information Processing Society. Annual Meeting

Download or read book Annual Meeting of the North American Fuzzy Information Processing Society--NAFIPS. written by North American Fuzzy Information Processing Society. Annual Meeting and published by . This book was released on 2003 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopedia of General Topology

Author : K.P. Hart
Publisher : Elsevier
ISBN 13 : 0080530869
Total Pages : 537 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Encyclopedia of General Topology by : K.P. Hart

Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms

Towards an Advanced Modelling of Complex Economic Phenomena

Author : Jaime Gil Aluja
Publisher : Springer Science & Business Media
ISBN 13 : 364224811X
Total Pages : 299 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Towards an Advanced Modelling of Complex Economic Phenomena by : Jaime Gil Aluja

Download or read book Towards an Advanced Modelling of Complex Economic Phenomena written by Jaime Gil Aluja and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Little by little we are being provided with an arsenal of operative instruments of a non-numerical nature, in the shape of models and algorithms, capable of providing answers to the “aggressions” which our economics and management systems must withstand, coming from an environment full of turmoil. In the work which we are presenting, we dare to propose a set of elements from which we hope arise focuses capable of renewing those structures of economic thought which are upheld by the geometrical idea. The concepts of pretopology and topology, habitually marginalized in economics and management studies, have centred our interest in recent times. We consider that it is not possible to conceive formal structures capable of representing the Darwinism concept of economic behaviour today without recurring to this fundamental generalisation of metric spaces. In our attempts to find a solid base to the structures proposed for the treatment of economic phenomena, we have frequently resorted to the theory of clans and the theory of affinities with results which we believe to be satisfactory. We would like to go further, establishing, if possible, the connection between their axiomatics at the same time as developing some uncertain pretopologies and topologies capable of linking previously unconnected theories, at the same time easing the creation of other new theories.

Mathematics of Fuzzy Sets

Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 1461550793
Total Pages : 722 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Mathematics of Fuzzy Sets by : Ulrich Höhle

Download or read book Mathematics of Fuzzy Sets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sequence Spaces

Author : Mohammad Mursaleen
Publisher : CRC Press
ISBN 13 : 1000045153
Total Pages : 313 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Sequence Spaces by : Mohammad Mursaleen

Download or read book Sequence Spaces written by Mohammad Mursaleen and published by CRC Press. This book was released on 2020-03-10 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.

Intelligent Computing Methodologies

Author : De-Shuang Huang
Publisher : Springer
ISBN 13 : 3319633155
Total Pages : 781 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Intelligent Computing Methodologies by : De-Shuang Huang

Download or read book Intelligent Computing Methodologies written by De-Shuang Huang and published by Springer. This book was released on 2017-07-20 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set LNCS 10361, LNCS 10362, and LNAI 10363 constitutes the refereed proceedings of the 13th International Conference on Intelligent Computing, ICIC 2017, held in Liverpool, UK, in August 2017. The 212 full papers and 20 short papers of the three proceedings volumes were carefully reviewed and selected from 612 submissions. This third volume of the set comprises 67 papers. The papers are organized in topical sections such as Intelligent Computing in Robotics; Intelligent Computing in Computer Vision; Intelligent Control and Automation; Intelligent Agent and Web Applications; Fuzzy Theory and Algorithms; Supervised Learning; Unsupervised Learning; Kernel Methods and Supporting Vector Machines; Knowledge Discovery and Data Mining; Natural Language Processing and Computational Linguistics; Advances of Soft Computing: Algorithms and Its Applications - Rozaida Ghazali; Advances in Swarm Intelligence Algorithm; Computational Intelligence and Security for Image Applications in SocialNetwork; Biomedical Image Analysis; Information Security; Machine Learning; Intelligent Data Analysis and Prediction.

Indian Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 990 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Indian Science Abstracts by :

Download or read book Indian Science Abstracts written by and published by . This book was released on 2008-05 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Natural Science

Author :
Publisher :
ISBN 13 :
Total Pages : 802 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Progress in Natural Science by :

Download or read book Progress in Natural Science written by and published by . This book was released on 1996 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Journal of Fuzzy Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Journal of Fuzzy Mathematics by :

Download or read book The Journal of Fuzzy Mathematics written by and published by . This book was released on 1993 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smarandache Fuzzy Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233748
Total Pages : 455 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Fuzzy Algebra by : W. B. Vasantha Kandasamy

Download or read book Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.In any human field, a Smarandache n-structure on a set S means a weak structure {w(0)} on S such that there exists a chain of proper subsets P(n-1) in P(n-2) in?in P(2) in P(1) in S whose corresponding structures verify the chain {w(n-1)} includes {w(n-2)} includes? includes {w(2)} includes {w(1)} includes {w(0)}, where 'includes' signifies 'strictly stronger' (i.e., structure satisfying more axioms).This book is referring to a Smarandache 2-algebraic structure (two levels only of structures in algebra) on a set S, i.e. a weak structure {w(0)} on S such that there exists a proper subset P of S, which is embedded with a stronger structure {w(1)}. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved problems, and theorems. Also, applications of Smarandache groupoids, near-rings, and semirings in automaton theory, in error correcting codes, and in the construction of S-sub-biautomaton can be found in the last chapter.