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#### Application of Fuzzy Logic to Social Choice Theory

Taylor and Francis 2015; US$ 119.95This is one of the first books to apply fuzzy logic to social choice theory. The book first discusses the rationalization of choice functions and the factorization of fuzzy preference relations. It then covers various solution sets used with the problem of cycling. It also explores Arrow?s famous impossibility theorem, Black?s median voter theorem,... more...

#### Set Theory

Springer 2006; US$ 169.00Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more. more...

#### Combinatorial Set Theory

Elsevier Science 2011; US$ 140.75This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods... more...

#### The Logical Status of Diagrams

Cambridge University Press 1995; US$ 48.00This groundbreaking work will have important influence on research in logic, philosophy and knowledge representation. more...

#### Elementary Set Theory, Part I

Hong Kong University Press, HKU 1979; US$ 8.00This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. more...

#### Elementary Set Theory, Part I/II

Hong Kong University Press, HKU 1967; US$ 10.00This book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. more...

#### The Mathematics of Infinity

Wiley 2012; US$ 87.00Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity... more...

#### Combinatorial Set Theory

Springer 2011; US$ 124.00This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed... more...

#### Rough Sets

Springer 2012; US$ 129.00Rough Set Theory, introduced by Pawlak in the early 1980s, has become an important part of soft computing within the last 25 years. However, much of the focus has been on the theoretical understanding of Rough Sets, with a survey of Rough Sets and their applications within business and industry much desired. Rough Sets: Selected Methods and Applications... more...

#### Incomplete Information System and Rough Set Theory

Springer 2012; US$ 109.00