# Difference between revisions of "Handbook of Mathematical Fuzzy Logic"

From Mathfuzzlog

(→Volume III) |
m (typos, category Books, Errata made more prominent) |
||

Line 1: | Line 1: | ||

− | The | + | The ''Handbook of Mathematical Fuzzy Logic'' is a series of books collecting the state of the art in the main trends of [[Mathematical Fuzzy Logic]]. The first two volumes have been published in 2011 by [http://www.collegepublications.co.uk/ College Publications] (volumes 37 and 38 of [http://www.collegepublications.co.uk/logic/ Studies in Logic], subseries [http://www.collegepublications.co.uk/logic/mlf Mathematical Logic and Foundations]), and edited by [[Petr Cintula]], [[Petr Hájek]] and [[Carles Noguera]]. |

− | [[Errata in the Handbook of Mathematical Fuzzy Logic|List of errata]] | + | * '''[[Errata in the Handbook of Mathematical Fuzzy Logic|List of errata]]''' |

== Volume I == | == Volume I == | ||

Line 11: | Line 11: | ||

* Chapter V: Hájek's Logic BL and BL-Algebras (written by [[Manuela Busaniche]] and [[Franco Montagna]]). | * Chapter V: Hájek's Logic BL and BL-Algebras (written by [[Manuela Busaniche]] and [[Franco Montagna]]). | ||

− | ( | + | (It can be bought at [http://www.amazon.com/Handbook-Mathematical-Fuzzy-Logic-1/dp/1848900392 Amazon]) |

== Volume II == | == Volume II == | ||

Line 20: | Line 20: | ||

* Chapter IX: Free Algebras and Functional Representation for Fuzzy Logics (written by [[Stefano Aguzzoli]], [[Simone Bova]] and [[Brunella Gerla]]). | * Chapter IX: Free Algebras and Functional Representation for Fuzzy Logics (written by [[Stefano Aguzzoli]], [[Simone Bova]] and [[Brunella Gerla]]). | ||

* Chapter X: Computational Complexity of Propositional Fuzzy Logics (written by [[Zuzana Haniková]]). | * Chapter X: Computational Complexity of Propositional Fuzzy Logics (written by [[Zuzana Haniková]]). | ||

− | * [http://www.carlesnoguera.cat/files/ch11.pdf Chapter XI: Arithmetical Complexity of First-Order Fuzzy Logics] (written [[Petr Hájek]], [[Franco Montagna]] and [[Carles Noguera]]). | + | * [http://www.carlesnoguera.cat/files/ch11.pdf Chapter XI: Arithmetical Complexity of First-Order Fuzzy Logics] (written by [[Petr Hájek]], [[Franco Montagna]] and [[Carles Noguera]]). |

− | ( | + | (It can be bought at [http://www.amazon.com/Handbook-Mathematical-Fuzzy-Logic-2/dp/1848900546 Amazon]) |

== Volume III == | == Volume III == | ||

Line 32: | Line 32: | ||

* Chapter XVI: Fuzzy Description Logics (written by [[Fernando Bobillo]], [[Marco Cerami]], [[Francesc Esteva]], [[Àngel García-Cerdaña]], [[Rafael Peñaloza]] and [[Umberto Straccia]]). | * Chapter XVI: Fuzzy Description Logics (written by [[Fernando Bobillo]], [[Marco Cerami]], [[Francesc Esteva]], [[Àngel García-Cerdaña]], [[Rafael Peñaloza]] and [[Umberto Straccia]]). | ||

* Chapter XVII: States of MV-algebras (written by [[Tommaso Flaminio]] and [[Tomáš Kroupa]]). | * Chapter XVII: States of MV-algebras (written by [[Tommaso Flaminio]] and [[Tomáš Kroupa]]). | ||

− | * Chapter XVIII: Fuzzy Logics in Theories of Vagueness (written [[Nick Smith]]). | + | * Chapter XVIII: Fuzzy Logics in Theories of Vagueness (written by [[Nick Smith]]). |

− | ( | + | (Volume in preparation edited by [[Petr Cintula]], [[Christian Fermüller]] and [[Carles Noguera]]) |

+ | |||

+ | [[Category:Books]] |

## Revision as of 09:24, 2 September 2014

The *Handbook of Mathematical Fuzzy Logic* is a series of books collecting the state of the art in the main trends of Mathematical Fuzzy Logic. The first two volumes have been published in 2011 by College Publications (volumes 37 and 38 of Studies in Logic, subseries Mathematical Logic and Foundations), and edited by Petr Cintula, Petr Hájek and Carles Noguera.

## Volume I

- Chapter I: Introduction to Mathematical Fuzzy Logic (written by Libor Běhounek, Petr Cintula and Petr Hájek).
- Chapter II: A General Framework for Mathematical Fuzzy Logic (written by Petr Cintula and Carles Noguera).
- Chapter III: Proof Theory for Mathematical Fuzzy Logic (written by George Metcalfe).
- Chapter IV: Algebraic Semantics: Semilinear FL-algebras (written by Rostislav Horčík).
- Chapter V: Hájek's Logic BL and BL-Algebras (written by Manuela Busaniche and Franco Montagna).

(It can be bought at Amazon)

## Volume II

- Chapter VI: Lukasiewicz Logic and MV-Algebras (written by Antonio Di Nola and Ioana Leustean).
- Chapter VII: Gödel-Dummett Logics (written by Matthias Baaz and Norbert Preining).
- Chapter VIII: Fuzzy Logics with Enriched Language (written by Francesc Esteva, Lluís Godo and Enrico Marchioni).
- Chapter IX: Free Algebras and Functional Representation for Fuzzy Logics (written by Stefano Aguzzoli, Simone Bova and Brunella Gerla).
- Chapter X: Computational Complexity of Propositional Fuzzy Logics (written by Zuzana Haniková).
- Chapter XI: Arithmetical Complexity of First-Order Fuzzy Logics (written by Petr Hájek, Franco Montagna and Carles Noguera).

(It can be bought at Amazon)

## Volume III

- Chapter XII: Algebraic Semantics: Structure of Chains (written by Thomas Vetterlein).
- Chapter XIII: Dialogue Game-based Interpretations of Fuzzy Logics (written by Christian Fermüller).
- Chapter XIV: Ulam-Rényi Games (written by Ferdinando Cicalese and Franco Montagna).
- Chapter XV: Fuzzy Logics with Evaluated Syntax (written by Vilém Novák).
- Chapter XVI: Fuzzy Description Logics (written by Fernando Bobillo, Marco Cerami, Francesc Esteva, Àngel García-Cerdaña, Rafael Peñaloza and Umberto Straccia).
- Chapter XVII: States of MV-algebras (written by Tommaso Flaminio and Tomáš Kroupa).
- Chapter XVIII: Fuzzy Logics in Theories of Vagueness (written by Nick Smith).

(Volume in preparation edited by Petr Cintula, Christian Fermüller and Carles Noguera)