Title
Decomposing ordinal sums in neural multi-adjoint logic programs
Abstract
The theory of multi-adjoint logic programs has been introduced as a unifying framework to deal with uncertainty, imprecise data or incomplete information. From the applicative part, a neural net based implementation of homogeneous propositional multi-adjoint logic programming on the unit interval has been presented elsewhere, but restricted to the case in which the only connectives involved in the program were the usual product, Godel and Lukasievicz together with weighted sums. A modification of the neural implementation is presented-here in order to deal with a more general family of adjoint pairs, including conjunctors constructed as an ordinal sum of a finite family of basic conjunctors. This enhancement a-ready expands the scope of the initial approach, since every t-norm (the type of conjunctor generally used in applications) can be expressed as an ordinal sum of product, Godel and Lukasiewicz conjunctors.
Year
DOI
Venue
2004
10.1007/978-3-540-30498-2_72
ADVANCES IN ARTIFICIAL INTELLIGENCE - IBERAMIA 2004
Keywords
Field
DocType
neural net,sum of products
T-norm,Discrete mathematics,Gödel,Computer science,Ordinal number,Propositional calculus,Unit interval,Logic programming,Artificial neural network,Complete information
Conference
Volume
ISSN
Citations 
3315
0302-9743
2
PageRank 
References 
Authors
0.39
8
3
Name
Order
Citations
PageRank
Jesús Medina193370.56
Enrique Mérida Casermeiro2225.38
Manuel Ojeda-aciego374868.13