Fuzzy Generalized Ordered Weighted Averaging Distance Operator and Its Application to Decision Making

Shou-Zhen Zeng ； Wei-Hua Su ； An-Bo Le

《International Journal of Fuzzy Systems》 14卷3期 (2012/09) Pp. 402-412

https://doi.org/10.30000/IJFS.201209.0006

並列摘要

We develop the fuzzy generalized ordered weighted averaging distance (FGOWAD) operator. It is a new aggregation operator that uses the main characteristics of the generalized OWA (GOWA), the ordered weighted averaging distance (OWAD) and uncertain information represented as fuzzy numbers. This operator includes a wide range of distance measures and aggregation operators such as the fuzzy maximum distance, the fuzzy minimum distance, the fuzzy normalized Hamming distance (FNHD), the fuzzy weighted Hamming distance (FWHD), the fuzzy normalized Euclidean distance (FNED), the fuzzy weighted Euclidean distance (FWED), the fuzzy ordered weighted averaging distance (FOWAD) operator, the fuzzy Euclidean ordered weighted averaging distance (FEOWAD) operator and the fuzzy generalized ordered weighted averaging (FGOWA) operator. We study some of its main properties. Finally, we apply the developed operator to a multi-person decision-making problem regarding the selection of strategies.

並列關鍵字

distance measure ； GOWA operator ； fuzzy number ； decision making