A Novel Data-Envelopment Analysis Interval-Valued Fuzzy-Rough-Number Multi-Criteria Decision-Making (DEA-IFRN MCDM) Model for Determining the Efficiency of Road Sections Based on Headway Analysis

Dejan Andjelković, Gordan Stojić, Nikola Nikolić, Dillip Kumar Das, Marko Subotić and Željko Stević ()
Additional contact information
Dejan Andjelković: Faculty of Applied Sciences Niš, University Business Academy in Novi Sad, Dušana Popovića 22a, 18000 Niš, Serbia
Gordan Stojić: Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Nikola Nikolić: Faculty of Technical Sciences “Mihajlo Pupin” Zrenjanin, University of Novi Sad, Djure Djakovica bb, 23101 Zrenjanin, Serbia
Dillip Kumar Das: Sustainable Transportation Research Group, Civil Engineering, School of Engineering, University of Kwazulu Natal, Durban 4041, South Africa
Marko Subotić: Faculty of Transport and Traffic Engineering, University of East Sarajevo, Vojvode Mišića 52, 74000 Doboj, Bosnia and Herzegovina
Željko Stević: College of Engineering, Korea University, 145 Anam-Ro, Seongbuk-gu, Seoul 02841, Republic of Korea

Mathematics, 2024, vol. 12, issue 7, 1-20

Abstract: The capacity of transport infrastructure is one of the very important tasks in transport engineering, which depends mostly on the geometric characteristics of road and headway analysis. In this paper, we have considered 14 road sections and determined their efficiency based on headway analysis. We have developed a novel interval fuzzy-rough-number decision-making model consisting of DEA (data envelopment analysis), IFRN SWARA (interval-valued fuzzy-rough-number stepwise weight-assessment-ratio analysis), and IFRN WASPAS (interval-valued fuzzy-rough-number weighted-aggregate sum–product assessment) methods. The main contribution of this study is a new extension of WASPAS method with interval fuzzy rough numbers. Firstly, the DEA model was applied to determine the efficiency of 14 road sections according to seven input–output parameters. Seven out of the fourteen alternatives showed full efficiency and were implemented further in the model. After that, the IFRN SWARA method was used for the calculation of the final weights, while IFRN WASPAS was applied for ranking seven of the road sections. The results show that two sections are very similar and have almost equal efficiency, while the other results are very stable. According to the results obtained, the best-ranked is a measuring segment of the Ivanjska–Šargovac section, with a road gradient = −5.5%, which has low deviating values of headways according to the measurement classes from PC-PC to AT-PC, which shows balanced and continuous traffic flow. Finally, verification tests such as changing the criteria weights, comparative analysis, changing the λ parameter, and reverse rank analysis have been performed.

Keywords: road traffic; headway; DEA; IFRN SWARA; IFRN WASPAS (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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