Topological and Algebraic Structures in Fuzzy Sets : A Handbook of Recent Developments in the Mathematics of Fuzzy Sets PDF
Edited by S.E. Rodabaugh, Erich Peter Klement
Part of the Trends in Logic series
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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 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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- Format:PDF
- Publisher:Springer Netherlands
- Publication Date:14/03/2013
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- ISBN:9789401702317
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-
Download Now
- Format:PDF
- Publisher:Springer Netherlands
- Publication Date:14/03/2013
- Category:
- ISBN:9789401702317