Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets Contributor(s): Rodabaugh, S. E. (Editor), Klement, Erich Peter (Editor) |
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ISBN: 9048163781 ISBN-13: 9789048163786 Publisher: Springer
Binding Type: Paperback - See All Available Formats & Editions Published: December 2010 Click for more in this series: Trends in Logic |
Additional Information |
BISAC Categories: - Mathematics | Logic - Philosophy | Logic - Mathematics | Group Theory |
Dewey: 511.322 |
Series: Trends in Logic |
Physical Information: 0.98" H x 6.14" W x 9.21" L (1.49 lbs) 470 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |
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