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Fuzzy weighted average as a fuzzified aggregation operator and its properties
Kybernetika, Tome 53 (2017) no. 1, pp. 137-160
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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 
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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

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