Applications of category theory to fuzzy subsets
Author(s)
Bibliographic Information
Applications of category theory to fuzzy subsets
(Theory and decision library, ser. B . Mathematical and statistical methods ; v. 14)
Kluwer Academic Publishers, c1992
Available at 46 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
The material of this book has close relationship to the Eleventh International Seminar on Fuzzy Set Theory held in Linz, Austria, 1989
Bibliography: p. [354]-375
Include indexes
Description and Table of Contents
Description
This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more importantly, it is the culmination of the tradition of the preceding ten Seminars. The purpose of the Linz Seminar, since its inception, was and is to foster the development of the mathematical aspects of fuzzy sets. In the earlier years, this was accomplished by bringing together for a week small grou ps of mathematicians in various fields in an intimate, focused environment which promoted much informal, critical discussion in addition to formal presentations. Beginning with the tenth Seminar, the intimate setting was retained, but each Seminar narrowed in theme; and participation was broadened to include both younger scholars within, and established mathematicians outside, the mathematical mainstream of fuzzy sets theory. Most of the material of this book was developed over the years in close association with the Seminar or influenced by what transpired at Linz. For much of the content, it played a crucial role in either stimulating this material or in providing feedback and the necessary screening of ideas. Thus we may fairly say that the book, and the eleventh Seminar to which it is directly related, are in many respects a culmination of the previous Seminars.
Table of Contents
I: Topos-like and Model-Theoretic Approaches.- 1: Classification of Extremal Subobjects of Algebras over SM-SET.- 2: M-valued Sets and Sheaves over Integral Commutative CL-Monoids.- 3: The Logic of Unbalanced Subobjects in a Category with Two Closed Structures.- II: Categorical Methods in Topology.- 4: Fuzzy Filter Functors and Convergence.- 5: Convenient Topological Constructs.- 6: A Topological Universe Extension of FTS.- 7: Categorical Frameworks for Stone Representation Theories.- III: Applications and Related Topics in Logic and Topology.- 8: Pointless Metric Spaces and Fuzzy Spaces.- 9: Fuzzy Unit Interval and Fuzzy Paths.- 10: Lattice Morphisms, Sobriety, and Urysohn Lemmas.- 11: The Topological Modification of the L-Fuzzy Unit Interval.- 12: A Categorical Approach to Fuzzy Relational Database Theory.- 13: Fuzzy Points and Membership.- Appendices.- Index of Categories.- Addenda et Corrigenda.
by "Nielsen BookData"