Overview

""Topological and Algebraic Structures in Fuzzy Sets"" is strategically located at the juncture of fuzzy sets, topology, algebra, lattices and foundations of mathematics. It contains major studies in uniformities and convergence structures, fundamental examples in lattice-valued topology, modifications and extensions of sobriety, categorical aspects of lattice-valued subsets, logic and foundations of mathematics, t-norms and associated algebraic and ordered structures. Internationally recognized authorities clarify deep mathematical aspects of fuzzy sets, particularly those topological or algebraic in nature.

Full Product Details

Author:   S.E. Rodabaugh ,  Erich Peter Klement
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   20
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.880kg
ISBN:  

9781402015151

ISBN 10:   1402015151
Pages:   470
Publication Date:   30 September 2003
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

1: Uniform Completion In Pointfree Topology.- 2: Monadic Convergence Structures.- 3: A Unified Approach To The Concept Of Fuzzy L-Uniform Space.- 4: Many Valued Topologies And Borel Probability Measures.- 5: Fuzzy Reals: Topological Results Surveyed, Brouwer Fixed Point Theorem, Open Questions.- 6: Lattice-Valued Frames, Functor Categories, And Classes of Sober Spaces.- Appendix to Chapter 6: Weakening The Requirement That L Be A Complete Chain.- 7: Axiomatic Foundations For Uniform Operator Quasi-Uniformities.- 8: Fully Fuzzy Topology.- 9: Fuzzy Logics Arising From Strict De Morgan Systems.- 10: Structure Of Girard Monoids on [0,1].- 11: On The Geometry Of Choice.- 12: On Some Fuzzy Categories Related To Category L-TOP Of L-Topological Spaces.- 13: Fuzzy Compactness Via Categorical Closure Operators.- 14: Discrete Triangular Norms.- 15: Powerset Operators Based Approach To Fuzzy Topologies On Fuzzy Sets.- 16: Lifting Of Sobriety Concepts With Particular Reference To (L, M)-Topological Spaces.- 17: Examples For Different Sobrieties In Fixed-Basis Topology.- 18: Additive Generators Of Non-Continuous Triangular Norms.- 19: Groups, T-Norms, And Families Of De Morgan Systems.

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