Table 1 The nomenclature of the risk...

Table 1

The nomenclature of the risk appetite model

Nomenclature	Explanations (sets, indices, parameters, variables)
U	Set of observations, indexed by x ∈ U
TF	Set of the threat related to revenue loss, indexed by a_ij ∈ TF for all attributes
C	Set of conditional seaport risk attributes, indexed by a_ij ∈ C_j
V_a	Set of risk magnitude {1, 2, 3, …, h} indexed by f(x,a) ∈ V_a
e	Set of decision-makers (stakeholders)
L_m	Set of levels for the m-th attribute
J	Set of conditional seaport risk profiles aggregated from the q-th expert, J = 1, 2, …, J_q
i	Index of possible threats, i = 1, 2, …, n
j	Index of conditional seaport risk attributes, j = 1, 2, …, m
l	Index of decision-makers (stakeholders), l = 1, 2, …, q
α	The minimum required discrepancy level according to c_ij
F	The sampling fraction (the ratio of sample size to the total number of stakeholders)
d_ikj	Discrepancy between threat i-th and k-th due to conditional seaport risk j-th
a_ij	The potential risk score of risk appetite from conditional seaport risk i-th toward potential threats j-th
P_qj\|s	The predicted probability of revenue loss of the j-th conditional seaport risk attributes by the q-th decision-maker in the sample under the scenario s-th
S(a_ijq)	Utility score of the q-th experts associated with i-th conditional seaport risk attributes for j-th potential threats
$u_{m l}^{(q)}$	Part-worth for the l-th level of the m-th attribute for q-th individual
$v_{m}^{(q)}$	Derived importance of the m-th attribute for q-th individual
$f_{m l}^{(q)}$	Derived benefit (desirability) for the l-th level of the m-th attribute for the q-th individual
$w_{m}^{(q)}$	Self-explicated importance for the m-th attribute for q-th individual
$d_{m}^{(q)}$	Self-explicated benefit (desirability) for the m-th attribute for the q-th individual
DR	Number of design risk profile (alternative)
$h_{m l}^{(D R)}$	Indicator variable taking the value 1 if the m-th attribute in the DR-th profile takes level 1
$s_{J}^{(q)}$	Estimation score from the q-th individual to the J-th profile
Z	Potentsial loss due to conditional seaport risk factors

Nomenclature	Explanations (sets, indices, parameters, variables)
U	Set of observations, indexed by x ∈ U
TF	Set of the threat related to revenue loss, indexed by a_ij ∈ TF for all attributes
C	Set of conditional seaport risk attributes, indexed by a_ij ∈ C_j
V_a	Set of risk magnitude {1, 2, 3, …, h} indexed by f(x,a) ∈ V_a
e	Set of decision-makers (stakeholders)
L_m	Set of levels for the m-th attribute
J	Set of conditional seaport risk profiles aggregated from the q-th expert, J = 1, 2, …, J_q
i	Index of possible threats, i = 1, 2, …, n
j	Index of conditional seaport risk attributes, j = 1, 2, …, m
l	Index of decision-makers (stakeholders), l = 1, 2, …, q
α	The minimum required discrepancy level according to c_ij
F	The sampling fraction (the ratio of sample size to the total number of stakeholders)
d_ikj	Discrepancy between threat i-th and k-th due to conditional seaport risk j-th
a_ij	The potential risk score of risk appetite from conditional seaport risk i-th toward potential threats j-th
P_qj\|s	The predicted probability of revenue loss of the j-th conditional seaport risk attributes by the q-th decision-maker in the sample under the scenario s-th
S(a_ijq)	Utility score of the q-th experts associated with i-th conditional seaport risk attributes for j-th potential threats
$u_{m l}^{(q)}$	Part-worth for the l-th level of the m-th attribute for q-th individual
$v_{m}^{(q)}$	Derived importance of the m-th attribute for q-th individual
$f_{m l}^{(q)}$	Derived benefit (desirability) for the l-th level of the m-th attribute for the q-th individual
$w_{m}^{(q)}$	Self-explicated importance for the m-th attribute for q-th individual
$d_{m}^{(q)}$	Self-explicated benefit (desirability) for the m-th attribute for the q-th individual
DR	Number of design risk profile (alternative)
$h_{m l}^{(D R)}$	Indicator variable taking the value 1 if the m-th attribute in the DR-th profile takes level 1
$s_{J}^{(q)}$	Estimation score from the q-th individual to the J-th profile
Z	Potentsial loss due to conditional seaport risk factors

Source(s): The authors

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