Table III. Notations specific to our... | Emerald Publishing

Table III.

Notations specific to our model

Notation	Definition
W_f	Represents the graph based on the workflow of classifying object o, it has node levels to indicate the questions to classify the corresponding attributes of the given object, and nodes to represent the options available for each attribute
A_(n)	Represents the available options at node level n
a_n(j)	Represents the individual option at node level n, where j ∈{1,…,\|A_(n)\|}
$l_{o}_{(n)}^{u}$	Represents the label chosen by user u at node level n for object o. Thus, the labelling result (⁠ $l_{o}_{(1)}^{1}, l_{o}_{(2)}^{1}$ ⁠,…, $l_{o}_{(n)}^{1}$ ⁠) will represent the ordered list of nodes (the traversal path) visited by user 1 when classifying o, which is called as a label path
$L_{o}^{u}$	The label path chosen by user u for object o
L_o(n)	All labels for object o at node level n
L_o(n)(unique)	Unique labels for object o at node level n, L_o(n)(unique)⊆A(n)
$\tilde{L_{o}}$	Represents the inferred label path for object o. It is a set of inferred labels for each node level described as (⁠ $\tilde{l_{o_{(1)}}}, \dots, \tilde{l_{o_{(n)}}}$ ⁠)
L_{gold_o}	True label path for object o

Notation	Definition
W_f	Represents the graph based on the workflow of classifying object o, it has node levels to indicate the questions to classify the corresponding attributes of the given object, and nodes to represent the options available for each attribute
A_(n)	Represents the available options at node level n
a_n(j)	Represents the individual option at node level n, where j ∈{1,…,\|A_(n)\|}
$l_{o}_{(n)}^{u}$	Represents the label chosen by user u at node level n for object o. Thus, the labelling result ( $l_{o}_{(1)}^{1}, l_{o}_{(2)}^{1}$ ,…, $l_{o}_{(n)}^{1}$ ) will represent the ordered list of nodes (the traversal path) visited by user 1 when classifying o, which is called as a label path
$L_{o}^{u}$	The label path chosen by user u for object o
L_o(n)	All labels for object o at node level n
L_o(n)(unique)	Unique labels for object o at node level n, L_o(n)(unique)⊆A(n)
$\tilde{L_{o}}$	Represents the inferred label path for object o. It is a set of inferred labels for each node level described as ( $\tilde{l_{o_{(1)}}}, \dots, \tilde{l_{o_{(n)}}}$ )
L_{gold_o}	True label path for object o