Geodesic
Fuzzy weighted average as a fuzzified aggregation operator and its properties
Kybernetika, Tome 53 (2017) no. 1, pp. 137-160 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The weighted average is a well-known aggregation operator that is widely applied in various mathematical models. It possesses some important properties defined for aggregation operators, like monotonicity, continuity, idempotency, etc., that play an important role in practical applications. In the paper, we reveal whether and in which way such properties can be observed also for the fuzzy weighted average operator where the weights as well as the weighted values are expressed by noninteractive fuzzy numbers. The usefulness of the obtained results is discussed and illustrated by several numerical examples.
The weighted average is a well-known aggregation operator that is widely applied in various mathematical models. It possesses some important properties defined for aggregation operators, like monotonicity, continuity, idempotency, etc., that play an important role in practical applications. In the paper, we reveal whether and in which way such properties can be observed also for the fuzzy weighted average operator where the weights as well as the weighted values are expressed by noninteractive fuzzy numbers. The usefulness of the obtained results is discussed and illustrated by several numerical examples.
DOI : 10.14736/kyb-2017-1-0137
Classification : 03E72, 68T37
Keywords: aggregation operator; fuzzy weighted average; fuzzy numbers; fuzzy weights 
@article{10_14736_kyb_2017_1_0137,
     author = {Pavla\v{c}ka, Ond\v{r}ej and Pavla\v{c}kov\'a, Martina and Hetflei\v{s}, Vladislav},
     title = {Fuzzy weighted average as a fuzzified aggregation operator and its properties},
     journal = {Kybernetika},
     pages = {137--160},
     year = {2017},
     volume = {53},
     number = {1},
     doi = {10.14736/kyb-2017-1-0137},
     mrnumber = {3638561},
     zbl = {06738599},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0137/}
}
TY  - JOUR
AU  - Pavlačka, Ondřej
AU  - Pavlačková, Martina
AU  - Hetfleiš, Vladislav
TI  - Fuzzy weighted average as a fuzzified aggregation operator and its properties
JO  - Kybernetika
PY  - 2017
SP  - 137
EP  - 160
VL  - 53
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0137/
DO  - 10.14736/kyb-2017-1-0137
LA  - en
ID  - 10_14736_kyb_2017_1_0137
ER  - 
%0 Journal Article
%A Pavlačka, Ondřej
%A Pavlačková, Martina
%A Hetfleiš, Vladislav
%T Fuzzy weighted average as a fuzzified aggregation operator and its properties
%J Kybernetika
%D 2017
%P 137-160
%V 53
%N 1
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-1-0137/
%R 10.14736/kyb-2017-1-0137
%G en
%F 10_14736_kyb_2017_1_0137
Pavlačka, Ondřej; Pavlačková, Martina; Hetfleiš, Vladislav. Fuzzy weighted average as a fuzzified aggregation operator and its properties. Kybernetika, Tome 53 (2017) no. 1, pp. 137-160. doi: 10.14736/kyb-2017-1-0137

Cité par Sources :