عنوان

Applications of Category Theory to Fuzzy Subsets

940112616X

9789401126168

b546085

Applications of Category Theory to Fuzzy Subsets

[Book]

edited by Stephen Ernest Rodabaugh, Erich Peter Klement, Ulrich Höhle.

Dordrecht

Springer Netherlands

1992

(ix, 398 pages)

Theory and decision library., Series B,, Mathematical and statistical methods ;, 14.

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.

This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. Beginning with the tenth Seminar, the intimate setting was retained, but each Seminar narrowed in theme;

Algebra.

Geometry.

Mathematics.

edited by Stephen Ernest Rodabaugh, Erich Peter Klement, Ulrich Höhle.

E P Klement

Stephen Ernest Rodabaugh

Ulrich Höhle

[Book]

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