0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Applied mathematics > Fuzzy set theory

Buy Now

Mathematics of Fuzzy Sets - Logic, Topology, and Measure Theory (Hardcover, 1999 ed.) Loot Price: R9,038
Discovery Miles 90 380
Mathematics of Fuzzy Sets - Logic, Topology, and Measure Theory (Hardcover, 1999 ed.): Ulrich Hohle, S. E. Rodabaugh

Mathematics of Fuzzy Sets - Logic, Topology, and Measure Theory (Hardcover, 1999 ed.)

Ulrich Hohle, S. E. Rodabaugh

Series: The Handbooks of Fuzzy Sets, 3

 (sign in to rate)
Loot Price R9,038 Discovery Miles 90 380 | Repayment Terms: R847 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

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 orcomplete [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&endash;Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.

General

Imprint: Springer
Country of origin: Netherlands
Series: The Handbooks of Fuzzy Sets, 3
Release date: December 1998
First published: 1999
Authors: Ulrich Hohle • S. E. Rodabaugh
Dimensions: 235 x 155 x 44mm (L x W x T)
Format: Hardcover
Pages: 716
Edition: 1999 ed.
ISBN-13: 978-0-7923-8388-8
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
Books > Science & Mathematics > Mathematics > Applied mathematics > Fuzzy set theory
Promotions
LSN: 0-7923-8388-5
Barcode: 9780792383888

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Best Books gegradeerde leesreeks: Vlak 1…
Best Books Paperback R90 R85 Discovery Miles 850
bundle available
Emerging Applications of Fuzzy Algebraic…
Chiranjibe Jana, Tapan Senapati, … Hardcover R8,848 Discovery Miles 88 480
Advancements in Fuzzy Reliability Theory
Akshay Kumar, Mangey Ram, … Hardcover R7,586 Discovery Miles 75 860
Fuzzy Logic - Recent Applications and…
Jenny Carter, Francisco Chiclana, … Hardcover R4,677 Discovery Miles 46 770
Fuzzy Operator Theory in Mathematical…
Yeol Je Cho, Themistocles M. Rassias, … Hardcover R3,609 Discovery Miles 36 090
Linear and Multiobjective Programming…
Masatoshi Sakawa, Hitoshi Yano, … Hardcover R2,770 R2,226 Discovery Miles 22 260
Recent Advances in Applications of…
Snehashish Chakraverty, Sanjeewa Perera Hardcover R3,021 Discovery Miles 30 210
Rough Computing - Theories, Technologies…
Aboul Ella Hassanien, Zbigniew Suraj, … Hardcover R5,201 Discovery Miles 52 010
Fuzzy Cluster Analysis - Methods for…
F Hoppner Hardcover R5,731 Discovery Miles 57 310
Theory of Fuzzy Computation
Apostolos Syropoulos Hardcover R3,050 R1,964 Discovery Miles 19 640
Fuzzy Approach to Reasoning and…
Vil'em Novak, Jaroslav Ramik, … Hardcover R2,641 Discovery Miles 26 410
Fuzzy Logic in Management
Christer Carlsson, Mario Fedrizzi, … Hardcover R3,197 Discovery Miles 31 970

See more

Partners