Geodesic
Mixed pseudo-associativities of Bandler-Kohout compositions of relations
Kybernetika, Tome 43 (2007) no. 2, pp. 143-156 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper considers compositions of relations based on the notion of the afterset and the foreset, i. e., the subproduct, the superproduct and the square product introduced by Bandler and Kohout with modification proposed by De Baets and Kerre. There are proven all possible mixed pseudo-associativity properties of Bandler – Kohout compositions of relations.
This paper considers compositions of relations based on the notion of the afterset and the foreset, i. e., the subproduct, the superproduct and the square product introduced by Bandler and Kohout with modification proposed by De Baets and Kerre. There are proven all possible mixed pseudo-associativity properties of Bandler – Kohout compositions of relations.
Classification : 03E20, 03E72, 04A05, 08A02
Keywords: Bandler - Kohout compositions of relation; mixed associativity 
@article{KYB_2007_43_2_a3,
     author = {Sobera, Jolanta},
     title = {Mixed pseudo-associativities of {Bandler-Kohout} compositions of relations},
     journal = {Kybernetika},
     pages = {143--156},
     year = {2007},
     volume = {43},
     number = {2},
     mrnumber = {2343392},
     zbl = {1132.03347},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007_43_2_a3/}
}
TY  - JOUR
AU  - Sobera, Jolanta
TI  - Mixed pseudo-associativities of Bandler-Kohout compositions of relations
JO  - Kybernetika
PY  - 2007
SP  - 143
EP  - 156
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KYB_2007_43_2_a3/
LA  - en
ID  - KYB_2007_43_2_a3
ER  - 
%0 Journal Article
%A Sobera, Jolanta
%T Mixed pseudo-associativities of Bandler-Kohout compositions of relations
%J Kybernetika
%D 2007
%P 143-156
%V 43
%N 2
%U http://geodesic.mathdoc.fr/item/KYB_2007_43_2_a3/
%G en
%F KYB_2007_43_2_a3
Sobera, Jolanta. Mixed pseudo-associativities of Bandler-Kohout compositions of relations. Kybernetika, Tome 43 (2007) no. 2, pp. 143-156. http://geodesic.mathdoc.fr/item/KYB_2007_43_2_a3/

[1] Bandler W., Kohout L. J.: Fuzzy relational products as a tool for analysis and synthesis of the behaviour of complex natural and artificial systems. In: Fuzzy Sets. Theory and Applications to Policy Analysis and Information Systems (P. P. Wang and S. K. Chang, eds.), Plenum Press, New York 1980, pp. 341–367

[2] Baets B. De, Kerre E. : A revision of Bandler – Kohout compositions of relations. Math. Pannon. 4 (1993), 59–78 | MR | Zbl

[3] Baets B. De, Kerre E. : Fuzzy relational compositions. Fuzzy Sets and Systems 60 (1993), 109–120 | MR | Zbl

[4] Kohout L. J.: Relational semiotic methods for design of intelligent systems. In: IEEE-ISIC/CIRA/ISAS98, Gaithersburg 1998, pp. 1–62

[5] Kohout L. J.: Defining Homomorphisms and Other Generalized Morphisms of Fuzzy Relations in Monoidal Fuzzy Logics by Means of BK-Products. ArXiv Mathematics e-prints, math/0310175, (2003), pp. 1–13