Mixed pseudo-associativities of Bandler-Kohout compositions of relations
Kybernetika (2007)
- Volume: 43, Issue: 2, page 143-156
- ISSN: 0023-5954
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topSobera, Jolanta. "Mixed pseudo-associativities of Bandler-Kohout compositions of relations." Kybernetika 43.2 (2007): 143-156. <http://eudml.org/doc/33848>.
@article{Sobera2007,
abstract = {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.},
author = {Sobera, Jolanta},
journal = {Kybernetika},
keywords = {Bandler - Kohout compositions of relation; mixed associativity; mixed associativity; compositions of relations; afterset; foreset; subproduct; superproduct; square product; pseudo-associativity},
language = {eng},
number = {2},
pages = {143-156},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Mixed pseudo-associativities of Bandler-Kohout compositions of relations},
url = {http://eudml.org/doc/33848},
volume = {43},
year = {2007},
}
TY - JOUR
AU - Sobera, Jolanta
TI - Mixed pseudo-associativities of Bandler-Kohout compositions of relations
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 2
SP - 143
EP - 156
AB - 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.
LA - eng
KW - Bandler - Kohout compositions of relation; mixed associativity; mixed associativity; compositions of relations; afterset; foreset; subproduct; superproduct; square product; pseudo-associativity
UR - http://eudml.org/doc/33848
ER -
References
top- 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 (1980)
- Baets B. De, Kerre E., A revision of Bandler – Kohout compositions of relations, Math. Pannon. 4 (1993), 59–78 (1993) Zbl0772.04002MR1226174
- Baets B. De, Kerre E., Fuzzy relational compositions, Fuzzy Sets and Systems 60 (1993), 109–120 (1993) Zbl0794.04004MR1254585
- Kohout L. J., Relational semiotic methods for design of intelligent systems, In: IEEE-ISIC/CIRA/ISAS98, Gaithersburg 1998, pp. 1–62 (1998)
- 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
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