Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output

Seaport network efficiency is very crucial for global maritime economic trades and growth. In this work, data of three years (2018–2020) with input variables (time in port, age of vessels, size of vessels, cargo carrying capacity of vessels) and output variables (Liner Shipping Connectivity Index (L...

Full description

Bibliographic Details
Main Authors: Dineswary Nadarajan, Saber Abdelall Mohamed Ahmed, Noor Fadiya Mohd Noor
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/6/1454
_version_ 1797610324880261120
author Dineswary Nadarajan
Saber Abdelall Mohamed Ahmed
Noor Fadiya Mohd Noor
author_facet Dineswary Nadarajan
Saber Abdelall Mohamed Ahmed
Noor Fadiya Mohd Noor
author_sort Dineswary Nadarajan
collection DOAJ
description Seaport network efficiency is very crucial for global maritime economic trades and growth. In this work, data of three years (2018–2020) with input variables (time in port, age of vessels, size of vessels, cargo carrying capacity of vessels) and output variables (Liner Shipping Connectivity Index (LSCI) and Gross Domestic Product (GDP)) are collected. Few screening tests are performed to ensure the data are fit for further analyses. Since none of the existing studies has ever considered LSCI as an output variable, the main purpose of this study is to measure seaport network efficiency based on LSCI using data envelopment analysis (DEA), both classical and fuzzy. In fuzzy DEA, triangular fuzzy number (TrFN) and trapezoidal fuzzy number (TpFN) are used to construct the fuzzy sets of efficiency scores with DEA. The comparison between DEA and triangular fuzzy data envelopment analysis (TrFDEA) shows the range of differences in the results ranges from −0.0274 to 0.0105, while the comparison between DEA and trapezoidal fuzzy data envelopment analysis (TpFDEA) yields the differences within the range of −0.0307 to 0.0106. Using DEA as the relative reference, it is further revealed that the TpFDEA has smaller standard deviations and variances than the TrFDEA in 2018 and 2019, whereas the opposites hold true during the pandemic year of 2020. With the use of fuzzy numbers, the uncertainty levels in the seaport network efficiency measurement can further be investigated as the minimum, mean, median and maximum values are taken into consideration. Moreover, the proposed TrFDEA and TpFDEA lead new insights on the boundedness concept of the efficiency scores, which were never reported before by any researcher, especially in the maritime industry research. Fuzzy regression modelling based on the Possibilistic Linear Regression Least Squares (PLRLS) method was also performed to determine the interval of minimum and maximum connectivity efficiencies, which gave a better estimation than the regular regression model.
first_indexed 2024-03-11T06:13:52Z
format Article
id doaj.art-f4657040e84f44f680f9367e1e60eeac
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-11T06:13:52Z
publishDate 2023-03-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-f4657040e84f44f680f9367e1e60eeac2023-11-17T12:28:51ZengMDPI AGMathematics2227-73902023-03-01116145410.3390/math11061454Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index OutputDineswary Nadarajan0Saber Abdelall Mohamed Ahmed1Noor Fadiya Mohd Noor2Faculty of Business, Accountancy & Law, SEGi University, Petaling Jaya 47810, MalaysiaDepartment of Applied Statistics, Faculty of Economics & Administration, Universiti Malaya, Kuala Lumpur 50603, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, MalaysiaSeaport network efficiency is very crucial for global maritime economic trades and growth. In this work, data of three years (2018–2020) with input variables (time in port, age of vessels, size of vessels, cargo carrying capacity of vessels) and output variables (Liner Shipping Connectivity Index (LSCI) and Gross Domestic Product (GDP)) are collected. Few screening tests are performed to ensure the data are fit for further analyses. Since none of the existing studies has ever considered LSCI as an output variable, the main purpose of this study is to measure seaport network efficiency based on LSCI using data envelopment analysis (DEA), both classical and fuzzy. In fuzzy DEA, triangular fuzzy number (TrFN) and trapezoidal fuzzy number (TpFN) are used to construct the fuzzy sets of efficiency scores with DEA. The comparison between DEA and triangular fuzzy data envelopment analysis (TrFDEA) shows the range of differences in the results ranges from −0.0274 to 0.0105, while the comparison between DEA and trapezoidal fuzzy data envelopment analysis (TpFDEA) yields the differences within the range of −0.0307 to 0.0106. Using DEA as the relative reference, it is further revealed that the TpFDEA has smaller standard deviations and variances than the TrFDEA in 2018 and 2019, whereas the opposites hold true during the pandemic year of 2020. With the use of fuzzy numbers, the uncertainty levels in the seaport network efficiency measurement can further be investigated as the minimum, mean, median and maximum values are taken into consideration. Moreover, the proposed TrFDEA and TpFDEA lead new insights on the boundedness concept of the efficiency scores, which were never reported before by any researcher, especially in the maritime industry research. Fuzzy regression modelling based on the Possibilistic Linear Regression Least Squares (PLRLS) method was also performed to determine the interval of minimum and maximum connectivity efficiencies, which gave a better estimation than the regular regression model.https://www.mdpi.com/2227-7390/11/6/1454DEAtriangular fuzzy DEAtrapezoidal fuzzy DEAseaport network efficiencyfuzzy regression
spellingShingle Dineswary Nadarajan
Saber Abdelall Mohamed Ahmed
Noor Fadiya Mohd Noor
Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
Mathematics
DEA
triangular fuzzy DEA
trapezoidal fuzzy DEA
seaport network efficiency
fuzzy regression
title Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
title_full Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
title_fullStr Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
title_full_unstemmed Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
title_short Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output
title_sort seaport network efficiency measurement using triangular and trapezoidal fuzzy data envelopment analyses with liner shipping connectivity index output
topic DEA
triangular fuzzy DEA
trapezoidal fuzzy DEA
seaport network efficiency
fuzzy regression
url https://www.mdpi.com/2227-7390/11/6/1454
work_keys_str_mv AT dineswarynadarajan seaportnetworkefficiencymeasurementusingtriangularandtrapezoidalfuzzydataenvelopmentanalyseswithlinershippingconnectivityindexoutput
AT saberabdelallmohamedahmed seaportnetworkefficiencymeasurementusingtriangularandtrapezoidalfuzzydataenvelopmentanalyseswithlinershippingconnectivityindexoutput
AT noorfadiyamohdnoor seaportnetworkefficiencymeasurementusingtriangularandtrapezoidalfuzzydataenvelopmentanalyseswithlinershippingconnectivityindexoutput