College Publications logo   College Publications title  
View Basket
Homepage Contact page
Cadernos de Lógica e Computação
Cadernos de Lógica e Filosofia
Cahiers de Logique et d'Epistemologie
Communication, Mind and Language
Cuadernos de lógica, Epistemología y Lenguaje
Encyclopaedia of Logic
IfColog series in Computational Logic
Law and Society
Logic PhDs
Logic, Methodology and Philosophy of Science
The Logica Yearbook
Neural Computing and Artificial Intelligence
The SILFS series
Studies in Logic
History of Logic
Logic and cognitive systems
Mathematical logic and foundations
Studies in Logic and Argumentation
Studies in Talmudic Logic
Texts in Mathematics
Digital Downloads
Information for authors
About us
Search for Books

Mathematical logic and foundations


Handbook of Mathematical Fuzzy Logic. Volume 2

Petr Cintula, Petr Hájek and Carles Noguera, eds

Originating as an attempt to provide solid logical foundations
for fuzzy set theory, and motivated also by philosophical
and computational problems of vagueness and imprecision,
Mathematical Fuzzy Logic (MFL) has become a significant
subfield of mathematical logic. Research in this area focuses
on many-valued logics with linearly ordered truth values and
has yielded elegant and deep mathematical theories and
challenging problems, thus continuing to attract an ever
increasing number of researchers.

This two-volume handbook provides an up-to-date systematic
presentation of the best-developed areas of MFL. Its intended
audience is researchers working on MFL or related fields, who
may use the text as a reference book, and anyone looking for
a comprehensive introduction to MFL. Despite being located
in the realm of pure mathematical logic, this handbook will
also be useful for readers interested in logical foundations of
fuzzy set theory or in a mathematical apparatus suitable for
dealing with some philosophical and linguistic issues related
to vagueness.

The first volume contains a gentle introduction to MFL, a
presentation of an abstract algebraic framework for MFL,
chapters on proof theory and algebraic semantics of fuzzy
logics, and, finally, an algebraic study of Hájek’s logic BL.
The second volume is devoted to Łukasiewicz logic and MValgebras,
Gödel-Dummett logic and its variants, fuzzy logics
in expanded propositional languages, studies of functional
representations for fuzzy logics and their free algebras,
computational complexity of propositional logics, and
arithmetical complexity of first-order logics.

See inside

21 December 2011


Buy from Amazon: UK   US   

© 2005–2017 College Publications / VFH webmaster