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# đź“™ Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets by Stephen Ernest Rodabaugh, Erich Peter Klement (eds.) â€” free download

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This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stanÂ 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 PublishÂ 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 HandÂ 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 HandÂ 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 SemÂ 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 TwentiÂ 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.

- Series:
**Trends in Logic 20** - Author:
**Stephen Ernest Rodabaugh, Erich Peter Klement (eds.)** - Year:
**2003** - Publisher:
**Springer Netherlands** - Language:
**English** - ISBN:
**978-90-481-6378-6,978-94-017-0231-7**

- File size:
**30 046 016** - Format:
**pdf**

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The concept of fuzzy sets is one of the most fundamental and influential tools in computational intelligence. Fuzzy sets can provide solutions to a broad range of problems of control, pattern classification, reasoning, pl...

This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of L...

Authored by the most active scholars in their respective areas, this volume covers the most recent developments, both theoretical and applicative, in multi-disciplinary reliability evaluation areas, many of which are cutting-edge and not discussed elsewhe...

Group rings are easily defined, rather attractive algebraic objects. As the name implies, their study is a meeting place for two essentially different disciplines, the methods and results being a blending of group theory and ring theory. This book offers ...

The two volume set LNAI 3641 and LNAI 3642 constitutes the refereed proceedings of the 10th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2005, held in Regina, Canada in August/September 2005. The 119 re...

Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by in...

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led t...

This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with a rapid and original introduction to t...

The authors present some surprising connections that sets of uniqueness for trigonometic series have with descriptive set theory. They present many new results concerning the structure of sets of uniqueness and include solutions to some of the classical p...

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"This is a very comprehensive book on the subject matter with references that users can access and follow through. It is well structured and the writing style is appropriate for a wide range of students." Mo Nowrung, University of East Anglia, UK ...

This concise book by one of the leading scholars in development economics is developed from a series of lectures given to masters students and will serve as an excellent introduction to the principles of growth and development theory. The author presents ...