Title: Topological and Algebraic Structures in Fuzzy Sets : A Handbook of Recent Developments in the Mathematics of Fuzzy Sets
Publisher: Springer
Publication Date: 2003
Language: English
ISBN 10: 1402015151
ISBN 13: 9781402015151
Binding: Hardcover
Condition: As New

About this title

Synopsis

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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