Proof Theory for Fuzzy Logics
By: George Metcalfe, Nicola Olivetti, Dov M. Gabbay
Hardcover | 16 December 2008
At a Glance
Hardcover
$248.13
Aims to ship in 7 to 10 business days
When will this arrive by?
Enter delivery postcode to estimate
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)
ISBN: 9781402094088
ISBN-10: 1402094086
Series: Applied Logic Series
Published: 16th December 2008
Format: Hardcover
Language: English
Number of Pages: 288
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6 x 1.75
Weight (kg): 0.58
Shipping
| Standard Shipping | Express Shipping | |
|---|---|---|
| Metro postcodes: | $9.99 | $14.95 |
| Regional postcodes: | $9.99 | $14.95 |
| Rural postcodes: | $9.99 | $14.95 |
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.
You Can Find This Book In
RRP $311.95
$276.75
OFF
RRP $219.00
$197.25
OFF
RRP $46.95
$36.75
OFF
RRP $173.95
$168.75
RRP $194.00
$161.40
OFF
RRP $158.00
$131.40
OFF
RRP $399.00
$331.75
OFF
