Fuzzy Approach for Ranking of Motor Vehicles Involved in Road Accidents

Authors: Lazim Abdullah, N orhanadiah Zam

Abstract:

Increasing number of vehicles and lack of awareness among road users may lead to road accidents. However no specific literature was found to rank vehicles involved in accidents based on fuzzy variables of road users. This paper proposes a ranking of four selected motor vehicles involved in road accidents. Human and non-human factors that normally linked with road accidents are considered for ranking. The imprecision or vagueness inherent in the subjective assessment of the experts has led the application of fuzzy sets theory to deal with ranking problems. Data in form of linguistic variables were collected from three authorised personnel of three Malaysian Government agencies. The Multi Criteria Decision Making, fuzzy TOPSIS was applied in computational procedures. From the analysis, it shows that motorcycles vehicles yielded the highest closeness coefficient at 0.6225. A ranking can be drawn using the magnitude of closeness coefficient. It was indicated that the motorcycles recorded the first rank.

Keywords: Road accidents, decision making, closeness coefficient, fuzzy number

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078182

References:

[1] NHTSA. (2008, April 08). (Online). Available: http://www.nhtsa.dot.gov/portal/site/nhtsa/menuitem.
[2] Bernama. (2006, April 10). (Online). Available: http://www.bernama.com.my/bernama/v3/news.php?id=213066.
[3] Royal Malaysia Police., (2008, April 08) (online) . Available: http://www.rmp.gov.my/rmp .
[4] T. Brijs,., D., Karlis,., F. Bossche, , G. Wets, "A Bayesian model for ranking hazardous road sites," Journal of the Royal Statistical Society: Series A (Statistics in Society), vol.170, no.4, pp. 1001-1017, 2007.
[5] P. J. Schl├╝ter, J. J.Deely, and A. J. Nicholson, "Ranking and selecting motor vehicle accident sites by using a hierarchical Bayesian model," Journal of the Royal Statistical Society: Series D (The Statistician), vol. 46, no. 3, pp. 293-316. 1997.
[6] M. A. .Nzegwu, and C. O.Nzegwu, ,. "Review of causes of road traffic accidents in Benin City, Nigeria: A 1-year study, " Emergency Medicine Australasia August 2003- July 2004. Vol.19. no.1, pp 77-78. 2007.
[7] Department for Transport. (March 08). (Online). Available: http://www.dft.gov.uk/stellent/groups/dft_transstats/documents/page/dftt ransstats_032188.pdf.
[8] H.J. .Zimmermann ,. Fuzzy sets theory and its applications. Boston: Kluwer Academic Publishers. 1996.
[9] C.T. Chen,. "Extension of the TOPSIS for group decision making under fuzzy environment," Fuzzy Sets and Systems, Vol. 114, no. 1, pp. 1-9, 2000.
[10] T.C., Chu, "Selecting plant location via a fuzzy TOPSIS approach,"
[11] International Journal of Advance Manufacturing Technology, 20, 859- 864. 2002.
[12] F. Herrera,. & Herrera -Viedma, E. "Linguistic decision analysis
[13] steps for solving decision problems under linguistic information," Fuzzy
[14] sets and Systems, Vol.115, no. 1, pp. 67-82. 2000.
[15] L.A Zadeh.. "Fuzzy Sets," Information and Control, 8, 338-353. 1965.
[16] A. Kauffman, and M Gupta,. . Introduction to Fuzzy Arithmetic: Theory and application., NY: Van Nostrand-Reinhold. 1985.
[17] C.C Chou, " The canonical representation of multiplication operation on triangular fuzzy numbers," Computers and mathematics applications, Vol. 45, no. 10-11, pp. 1601-1610. 2003.
[18] D.L Olson, "Comparison of weights in TOPSIS model," Mathematical and Computer Modeling, Vol. 40, no. 7, pp. 721-727. 2004.