File(s) under permanent embargo
Negations generated by bounded lattices t-norms
chapter
posted on 2012-01-01, 00:00 authored by B Bedregal, Gleb BeliakovGleb Beliakov, H Bustince, J Fernandez, A Pradera, R ReiserFrom 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.
History
Title of book
Advances in computational intelligenceSeries
Communications in computer and information science; vol. 299Chapter number
34Pagination
326 - 335Publisher
Springer Berlin HeidelbergPlace of publication
Berlin, GermanyISSN
1865-0929eISSN
1865-0937ISBN-13
9783642317187ISBN-10
3642317189Language
engNotes
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 IIIPublication classification
B1 Book chapterCopyright notice
2012, SpringerExtent
61Editor/Contributor(s)
S Greco, B Bouchon-Meunier, G Coletti, M Fedrizzi, B Matarazzo, R YagerUsage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC