Negations generated by bounded lattices t-norms

Bedregal, Benjamin, Beliakov, Gleb, Bustince, Humberto, Fernandez, Javier, Pradera, Ana and Reiser, Renata Hax Sander 2012, Negations generated by bounded lattices t-norms, in Advances in computational intelligence, Springer Berlin Heidelberg, Berlin, Germany, pp.326-335.

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Title Negations generated by bounded lattices t-norms
Author(s) Bedregal, Benjamin
Beliakov, Gleb
Bustince, Humberto
Fernandez, Javier
Pradera, Ana
Reiser, Renata Hax Sander
Title of book Advances in computational intelligence
Editor(s) Greco, Salvatore
Bouchon-Meunier, Bernadette
Coletti, Giulianella
Fedrizzi, Mario
Matarazzo, Benedetto
Yager, Ronald R.
Publication date 2012
Series Communications in computer and information science; vol. 299
Chapter number 34
Total chapters 61
Start page 326
End page 335
Total pages 10
Publisher Springer Berlin Heidelberg
Place of Publication Berlin, Germany
Keyword(s) L-fuzzy logics
bounded lattices
t-norms
L-negations
L-automorphisms
Summary From the birth of fuzzy sets theory, several extensions have been proposed changing the possible membership values. Since fuzzy connectives such as t-norms and negations have an important role in theoretical as well as applied fuzzy logics, these connectives have been adapted for these generalized frameworks. Perhaps, an extension of fuzzy logic which generalizes the remaining extensions, proposed by Joseph Goguen in 1967, is to consider arbitrary bounded lattices for the values of the membership degrees. In this paper we extend the usual way of constructing fuzzy negations from t-norms for the bounded lattice t-norms and prove some properties of this construction.
Notes Presented at the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU 2012 Catania, Italy, July 9-13, 2012 Proceedings, Part III
ISBN 9783642317170
9783642317187
ISSN 1865-0929
1865-0937
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category B1 Book chapter
Copyright notice ©2012, Springer
Persistent URL http://hdl.handle.net/10536/DRO/DU:30049536

Document type: Book Chapter
Collection: School of Information Technology
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