Proof Theory for Fuzzy Logics

By: George Metcalfe, Nicola Olivetti, Dov M. Gabbay

Write A Review

Hardcover | 16 December 2008

At a Glance

Hardcover
288 Pages

Dimensions(cm)
24.13 x 16.51 x 1.91

Hardcover

$199.00

or 4 interest-free payments of $49.75 with

or

Ships in 5 to 7 business days

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.

Industry Reviews

From the reviews:

"This is a pioneering book on proofs for fuzzy logics, well-suited both for logicians who are interested in fuzzy logic and for specialists in expert systems and fuzzy logic applications who want to know more about the applications of proof theory." (V. Ya. Kreinovich, Mathematical Reviews, Issue 2009 h)

"The class of mathematical fuzzy logics is a natural extension of the class of t-norm-based [0, 1]-valued logics. ... the present monograph offers a study of proof-theoretically more interesting Gentzen-type calculi for such logics. ... This monograph is a well readable and up-to-date presentation of its topic, which clearly indicates which interesting results have been proved ... . It is excellently written by some of the leading experts in the field." (Siegfried J. Gottwald, Zentralblatt MATH, Vol. 1168, 2009)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Philosophy & Logic

Critical Thinking Skills

Effective Analysis, Argument and Reflection

Paperback

RRP $36.99

$35.75

Rationality

What It Is, Why It Seems Scarce, Why It Matters

Paperback

RRP $26.99

$22.99

15%
OFF

The Logic of Scientific Discovery

Routledge Classics

Paperback

RRP $34.99

$34.75

Critical Thinking : The Basics - Stuart Hanscomb

$263.75

14%
OFF

Critical Thinking Skills For Dummies

For Dummies

Paperback

RRP $32.95

$26.99

18%
OFF

Unpopular Essays : Routledge Classics - Bertrand Russell

$134.75

10%
OFF

Inductive Probability

Routledge Revivals

Paperback

RRP $62.99

$60.99

Probability, Objectivity and Evidence

Routledge Revivals

Hardcover

RRP $189.00

$167.75

11%
OFF

An Introduction to Collective Intentionality

In Action, Thought, and Society

Hardcover

RRP $305.00

$263.75

14%
OFF

An Introduction to Collective Intentionality

In Action, Thought, and Society

Paperback

RRP $83.99

$77.75

The Philosophical Foundations of Bayesianism : An Opinionated Introduction - Kenny Easwaran

$226.75

13%
OFF

Analogy and Exemplary Reasoning in Legal Discourse

Paperback

RRP $90.99

$82.75

Rationality : Psychological and Philosophical Perspectives - D. E. Over

$263.75

14%
OFF

Nature of Information : Shaping Reality, Life, and Consciousness - Joram Beda

$141.75

17%
OFF

Introduction
The Semantic Basis
Hilbert Systems
Gentzen Systems
Syntactic Eliminations
Fundamental Logics
Uniformity and Efficiency
First-Order Logics
Further Topics
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Proof Theory for Fuzzy Logics

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Philosophy & Logic

Critical Thinking Skills

Effective Analysis, Argument and Reflection

Rationality

What It Is, Why It Seems Scarce, Why It Matters

The Logic of Scientific Discovery

Routledge Classics

Critical Thinking

The Basics

Quantum Gravity and Computation

1st Edition - Information, Pregeometry, and Digital Physics

Critical Thinking Skills For Dummies

For Dummies

Unpopular Essays

Routledge Classics

Recipes for Science

An Introduction to Scientific Methods and Reasoning

Interdisciplinarity and the Art of Human Connection

Knowing in a Complex World

Inductive Probability

Routledge Revivals

Probability, Objectivity and Evidence

Routledge Revivals

An Introduction to Collective Intentionality

In Action, Thought, and Society

An Introduction to Collective Intentionality

In Action, Thought, and Society

The Philosophical Foundations of Bayesianism

An Opinionated Introduction

Contemporary Debates in African and Western Philosophy

Analytic and Intercultural Approaches

Analogy and Exemplary Reasoning in Legal Discourse

Rationality

Psychological and Philosophical Perspectives

Objective Knowledge

An Evolutionary Approach

Nature of Information

Shaping Reality, Life, and Consciousness

Aristotle's Organon in Old and New Logic

1800-1950

Late Peirce

The Life and Thought of Charles S. Peirce from 1900-1914

Logic-Based Therapy and Consultation

Theory and Applications

Logic and Criticism

Routledge Revivals

Nature of Information

Shaping Reality, Life, and Consciousness

This product is categorised by