Treffer: On the structure of continuous uninorms
Title:
On the structure of continuous uninorms
Authors:
Source:
8th International Conference on Fuzzy Sets - Theory and Applications, Liptovský Ján, January 31-February 3, 2006: Selected papersKybernetika. 43(2):183-196
Publisher Information:
Praha: Academia, 2007.
Publication Year:
2007
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Logique mathématique, fondements, théorie des ensembles, Mathematical logic, foundations, set theory, Logique et fondements, Logic and foundations, Logique générale, General logic, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Ordre, treillis, structures algébriques ordonnées, Order, lattices, ordered algebraic structures, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Fonctions logiques, booléennes et de commutation, Logical, boolean and switching functions, Fonction continue, Continuous function, Función continua, Isomorphisme, Isomorphism, Isomorfismo, Logique floue, Fuzzy logic, Lógica difusa, Logique mathématique, Mathematical logic, Lógica matemática, Nombre réel, Real number, Número real, Norme triangulaire, t Norm, Norma triangular, Opération arithmétique, Arithmetic operation, Operación aritmética, Relation ordre, Ordering, Relación orden, Semigroupe, Semigroup, Semigrupo, Treillis, Lattice, Enrejado, 03B52, 03E72, 06F05, continuity, ordinal sum of semigroups, t-conorms, t-norms, uninorms
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute of Mathematics, University of Rzeszów), ul. Rejtana 16a, 35-310 Rzeszów, Poland
ISSN:
0023-5954
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18996207
Database:
PASCAL Archive
Weitere Informationen
Uninorms were introduced by Yager and Rybalov [13] as a generalization of triangular norms and conorms. We ask about properties of increasing, associative, continuous binary operation U in the unit interval with the neutral element e ∈[0,1]. If operation U is continuous, then e = 0 or e = 1. So, we consider operations which are continuous in the open unit square. As a result every associative, increasing binary operation with the neutral element e ∈ (0,1), which is continuous in the open unit square may be given in [0,1)2 or (0, 1]2 as an ordinal sum of a semigroup and a group. This group is isomorphic to the positive real numbers with multiplication. As a corollary we obtain the results of Hu, Li [7].