On Ordered Weighted Logarithmic Averaging Operators and Distance Measures

In this paper we perform an in-depth description of the main properties and families of the introduced ordered weighted logarithmic averaging distance (OWLAD) operator, the generalized ordered weighted averaging distance (GWLAD) operator, and the generalized ordered weighted logarithmic averaging distance (GOWLAD) operator. These operators have as foundation the well-known Hamming distance measure and the generalized ordered weighted logarithmic averaging (GOWLA) operator. Furthermore, we analyze multiple classical measures to characterize the operators%27 weighting vectors and we present alternative formulations of the operators based on the ordering of the arguments. © 2018 IEEE.
In this paper we perform an in-depth description of the main properties and families of the introduced ordered weighted logarithmic averaging distance (OWLAD) operator, the generalized ordered weighted averaging distance (GWLAD) operator, and the generalized ordered weighted logarithmic averaging distance (GOWLAD) operator. These operators have as foundation the well-known Hamming distance measure and the generalized ordered weighted logarithmic averaging (GOWLA) operator. Furthermore, we analyze multiple classical measures to characterize the operators' weighting vectors and we present alternative formulations of the operators based on the ordering of the arguments. © 2018 IEEE.

distance measures; logarithmic aggregation operators; OWA operator Artificial intelligence; Mathematical operators; Aggregation operator; Averaging operators; Distance measure; Ordered weighted averaging; OWA operators; Weighting vector; Hamming distance

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