FUZZY LINEAR PROGRAMMING MODEL FOR INVERSE MULTIPLE CRITERIA SORTING PROBLEM: AN APPLICATION IN A PUBLIC TRANSPORTATION COMPANY

Multi-criteria decision making (MCDM) techniques are among the methods used by the decision maker in the decision phase in practice, as in the literature. MCDM problems are grouped as classifications and sorting problems according to the type of inclusion or ranking in existing classes. Inverse multi-criteria sorting problem, a new topic in recent years, is defined as choosing among existing actions in order to improve the status of alternatives. In this study, in order to find out which action plan should be chosen for providing the minimum cost for the improvement of public transportation vehicles in case the boundaries of the classes to be assigned are uncertain, the inverse multi-criteria ranking problem is used. Because the boundaries of the classes to be assigned are fuzzy, fuzzy linear programming method will be used to solve the problem.

Keywords:

Multi-Criteria Decision Making (MCDM), Inverse Multiple-Criteria Sorting Problem Fuzzy Linear Programming,

PDF

___

Aires, R.F.d.F, Ferreira, L., Araujo, A.G.d., Borenstein, D., Student selection in a Brazilian university: Using a multi-criteria method, Journal of the Operational Research Society, 69 (4), 528-540, 2018.
Arikan, F., Citak, S., Multiple Criteria Inventory Classification in an Electronics Firm, International Journal of Information Technology & Decision Making, 16 (2), 315–331, 2017.
Parreiras, R.O., Kokshenev, I., Carvalho, M.O.M., Willer, A.C.M., Dellezzopolles Jr., C.F., Nacif Jr., D.B., Santana, J.A., A flexible multicriteria decision-making methodology to support the strategic management of Science, Technology and Innovation research funding programs, European Journal of Operational Research, 272, 725–739, 2019.
Hasan, M., Buyuktahtakın, I.E., Elamin, E., A multicriteria ranking algorithm (MCRA) for determining breast cancer therapy, OMEGA, 82, 83-101, 2019.
Özpeynirci,Ö., Özpeynirci, S..Mousseau,V.,An interactive approach for inverse multiple criteria sorting problem, Journal of Multi-Criteria Decision Analysis, doi: 10.1002/mcda.1719, 2020.
Mousseau, V., Ozpeynirci, O., Ozpeynirci, S., Inverse multiple criteria sorting problem, Annals of Operations Research, 267, 379-412, 2018.
Wolters,W., Mareschal, B., Novel types of sensitivity analysis for additive MCDM methods, European Journal of Operational Research, 81, 281-290, 1995.
Wang, T., Decision making and modelling uncertainty for the multicriteria analysis of complex energy systems, (PhD Thesis), University of Paris Saclay, CentraleSupelec, 2015.
Mousseau V.Özpeynirci Ö., Özpeynirci S., Inverse multiple criteria sorting problem, Annals of Operations Research, 267(1), 379-412, 2018.
Ecer, B., Kabak, M., Dağdeviren, M., Goal programming model for bi-objective inverse multiple criteria sorting problem, Journal of the Faculty of Engineering and Architectures of Gazi University, 35(4), 1729-1736, 2020.
Zimmermann,H.J., Application of Fuzzy Set Theory to Mathematical Programming, Information Science, 36, 29-58, 1985.