Close
Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Search
Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory
Foyalty 758

Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory (Hardback)

£249.99
Usually despatched within 2 weeks.

Synopsis

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14).

Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications.

Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval.

Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.

Science & MathematicsMathematicsApplied mathematicsFuzzy set theoryScience & MathematicsMathematicsMathematical foundationsSet theory Publisher: Springer Publication Date: 31/12/1998 ISBN-13: 9780792383888  Details: Type: Hardback Format: Books
Availability: Usually despatched within 2 weeks. Login for Quick Checkout Add to Basket

More books by Ulrich Hohle

More books by S. E. Rodabaugh

Leave Review

Delivery

Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Standard Delivery FREE FREE 3-5 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Set Theory: The Structure of Arithmetic
(Paperback)
NormanT. Hamilton
 
 
£13.99
 
Analysis and Control of Finite-Value...
(Hardback)
Haitao Li; Guodong Zhao; Peilian Guo;...
 
 
£140.00
 
The Universal Computer: The Road from...
(Hardback)
Martin Davis
 
 
£115.00
 
The Universal Computer: The Road from...
(Paperback)
Martin Davis
 
 
£33.99
 
© W&G Foyle Ltd
Foyles uses cookies to help ensure your experience on our site is the best possible. Click here if you’d like to find out more about the types of cookies we use.
Accept and Close