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Topological and Algebraic Structures in Fuzzy Sets - A Handbook of Recent Developments in the Mathematics of Fuzzy Sets (Hardcover, 2003 ed.)
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Topological and Algebraic Structures in Fuzzy Sets - A Handbook of Recent Developments in the Mathematics of Fuzzy Sets (Hardcover, 2003 ed.)
Series: Trends in Logic, 20
Expected to ship within 18 - 22 working days
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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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