Table 5 Overall transportation expense, transportation time, and carbon emissions.

From: A circular economy based nonlinear corrugated waste management system using Fermatean bipolar hesitant fuzzy logic

Transportation expense (In Rupees)

\({\mathfrak{c}}_{cftr}^{13}\)

\({\mathfrak{c}}_{1111}^{13} = 20,{ }{\mathfrak{c}}_{1112}^{13} =\) 26,\({\mathfrak{c}}_{1121}^{13} = 28,{ }{\mathfrak{c}}_{1122}^{13} = 30\)

\({\mathfrak{C}}_{cftr}^{13}\)

\({\mathfrak{C}}_{1111}^{13} = 21,{ }{\mathfrak{C}}_{1112}^{13} =\) 26,\({\mathfrak{C}}_{1121}^{13} = 25,{ }{\mathfrak{C}}_{1122}^{13} = 28\)

\({\mathfrak{c}}_{lftr}^{23}\)

\({\mathfrak{c}}_{1111}^{23} = 22,{ }{\mathfrak{c}}_{1112}^{23} =\) 27,\({\mathfrak{c}}_{1121}^{23} = 20,{ }{\mathfrak{c}}_{1122}^{23} = 31\)

\({\mathfrak{C}}_{lftr}^{23}\)

\({\mathfrak{C}}_{1111}^{23} = 20,{ }{\mathfrak{C}}_{1112}^{23} =\) 27,\({\mathfrak{C}}_{1121}^{23} = 22,{ }{\mathfrak{C}}_{1122}^{23} = 30\)

\({\mathfrak{c}}_{fmtr}^{34}\)

\({\mathfrak{c}}_{1111}^{34} = 12, {\mathfrak{c}}_{1112}^{34} =\) 17,\({\mathfrak{c}}_{1121}^{34} = 10, {\mathfrak{c}}_{1122}^{34} = 11\)

\({\mathfrak{C}}_{fmtr}^{34}\)

\({\mathfrak{C}}_{1111}^{34} = 15, {\mathfrak{C}}_{1112}^{34} =\) 16,\({\mathfrak{C}}_{1121}^{34} = 13, {\mathfrak{C}}_{1122}^{34} = 14\)

Transportation time (In Minutes)

\({\mathfrak{t}}_{cftr}^{13}\)

\({\mathfrak{t}}_{1111}^{13}\) = 88, \({\mathfrak{t}}_{1112}^{13}\) = 80,\({\mathfrak{t}}_{1121}^{13}\) = 79,\({ }{\mathfrak{t}}_{1122}^{13}\) = 99

\({\mathfrak{T}}_{cftr}^{13}\)

\({\mathfrak{T}}_{1111}^{13}\) = 80, \({\mathfrak{T}}_{1112}^{13}\) = 82,\({\mathfrak{T}}_{1121}^{13}\) = 70,\({ }{\mathfrak{T}}_{1122}^{13}\) = 90

\({\mathfrak{t}}_{lftr}^{23}\)

\({\mathfrak{t}}_{1111}^{23}\) = 78, \({\mathfrak{t}}_{1112}^{23}\) = 70,\({ }{\mathfrak{t}}_{1121}^{23}\) = 65,\({\mathfrak{t}}_{1122}^{23}\) = 72

\({\mathfrak{T}}_{lftr}^{23}\)

\({\mathfrak{T}}_{1111}^{23}\) = 70, \({\mathfrak{T}}_{1112}^{23}\) = 70,\({ }{\mathfrak{T}}_{1121}^{23}\) = 60,\({\mathfrak{T}}_{1122}^{23}\) = 70

\({\mathfrak{t}}_{fmtr}^{34}\)

\({\mathfrak{t}}_{1111}^{34}\) = 41, \({\mathfrak{t}}_{1112}^{34}\) = 44,\({ }{\mathfrak{t}}_{1121}^{34}\) = 45,\({\mathfrak{t}}_{1122}^{34}\) = 50

\({\mathfrak{T}}_{fmtr}^{34}\)

\({\mathfrak{T}}_{1111}^{34}\) = 40, \({\mathfrak{T}}_{1112}^{34}\) = 40,\({ }{\mathfrak{T}}_{1121}^{34}\) = 40,\({\mathfrak{T}}_{1122}^{34}\) = 50

Carbon emissions

\(\theta_{1} = 0.2,\) \({\mathfrak{e}}_{{CO_{2} }}^{1} = 0.5gm/km, \theta_{1} = 0.5,\) \({\mathfrak{e}}_{{CO_{2} }}^{1} = 0.2gm/km\)

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