A new fuzzy multi-objective model for selecting capital projects in the public sector

Document Type : Research Paper

Authors

1 Sajjad University of Technology, Mashhad, Iran

2 Economic and Administrative Sciences faculty, Ferdowsi University of Mashhad, Mashad, Iran

3 Industrial Engineering and Metallurgy faculty, Sajjad University of Technology, Mashhad, Iran

Abstract

In evaluating projects, there are many qualitative criteria, weighting, and quantifying, which have no definitive nature and are associated with various ambiguities. Also, because of the relationship between these conflicting criteria (goals), no single and multip optimal solutions (non-dominant set) should be sought. Because of the relationship between these inconsistent criteria (goals), no single and multiple optimal solutions (non-dominant set) should be sought. Accordingly, this study aims to provide an appropriate approach to develop a model for selecting construction projects in the public sector based on a mathematical multi-objective fuzzy model, which can cover the multi-objective nature of the problem and consider inherent inaccuracies and problem uncertainties. This paper first converts the model to a non-linear model by fractional planning concepts, defuzzification according to Jimenez and Yang approaches, then solves by a non-dominated sorting genetic algorithm (NSGA-II) to provide a more comprehensive model for governmental project selection public when allocating budget. This paper is attempted to develop a new model for selecting construction projects while considering the uncertainty of parameters using fuzzy theory in the public sector to show the performance of the developed model. The fuzzy model solution is compared with the deterministic model to analyze the results. The results show the improvements reflect the success rate of accomplishment for the corresponding goals in the fuzzy model compared to the exact one.

Keywords

Main Subjects


Bellos, E., Voulgridou, D., Kirytopoulos, K., & Panopoulos, D. (2010). An MCDA approach for project selection in public sector. Centre for Construction Innovation.
Benjamin, C. O. (1985). A linear goal-programming model for public-sector project selection. Journal of the Operational Research Society, 36, 13-23.
Carlsson, C., Fuller, R., Helkkila, M., & Majlender, P. (2007). A fuzzy approach to R&D project portfolio selection. International Journal of Approximate Reasoning, 44, 93-105.
Chapman, C., Ward, S., & Klein, J. (2006). An optimised multiple test framework for project selection in the public sector, with a nuclear waste disposal case-based example. International journal of project management, 24, 373-384.
Deb, K. (2008). Genetic algorithm with Multi-objective optimization approach. Tehran, Pelk.
Doerner, K., Gutjahr, W., Hartl, R. F., Strauss, C., & Stummer, C. (2004). Pareto ant colony optimization: A metaheuristic approach to multiobjective portfolio selection. Annals of operations research, 131, 79-99.
Dong, T., Yin, S., & Zhang, N. (2023). New Energy-Driven Construction Industry: Digital Green Innovation Investment Project Selection of Photovoltaic Building Materials Enterprises Using an Integrated Fuzzy Decision Approach. Systems.
EBRAHIMNEJAD, S. M., Tavakkoli-Moghaddam, R., Hashemi, H., & Vahdani, B. (2012). A novel two-phase group decision making approach for construction project selection in a fuzzy environment. Applied Mathematical Modelling, 36, 4197-4217.
Ebrahimnejad, S., Hosseinpour, M. H., & Nasrabadi, A. (2013). A fuzzy bi-objective mathematical model for optimum portfolio selection by considering inflation rate effects. The International Journal of Advanced Manufacturing Technology, 69, 595-616.
Fazli, S., & Madani, S. (2009). introducing a model for selecting construction projects using Multiple criteria decision making and Goal programming approach. International Project Management Conference.
Fernandez, E., Lopez, E., Mazcorro, G., Olmedo, R., & Coello, C. A. (2013). Information Sciences. Application of the non-outranked sorting genetic algorithm to public project portfolio selection, 228, 131-149.
Fonseca, C., & Fleming, P. (1993). Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization. ICGA, 416-423.
Ghorbani, S., & Rabbani, M. (2009). A new multi-objective algorithm for a project selection problem. Advances in Engineering Software, 40, 9-14.
Greenberg, R., & Nunamaker, T. (1994). Integrating the analytic hierarchy process (AHP) into the multiobjective budgeting models of public sector organizations. Socio-Economic Planning Sciences, 28, 197-206.
H.Issa, U., A.A.Mosaad, S., M, & Hassan, S. (2020). Evaluation and selection of construction projects based on risk analysis. Structures, 27, 361-370.
Hejazi, T. H., & Roozkhosh, P. (2019). Partial inspection problem with double sampling designs in multi-stage systems considering cost uncertainty. Journal of Industrial Engineering and Management Studies, 1-17.
Joiner, C., & Drake, A. E. (1983). Governmental planning and budgeting with multiple objective models. Omega, 11, 57-66.
Leinbach, T. R., & Cromley, R. G. (1983). A goal programming approach to public investment decisions: a case study of rural roads in Indonesia. Socio-Economic Planning Sciences, 17, 1-10.
Martinez-Vega, D., Sanchez, P., Castilla, G., Fernandez, E., & Cruz-Reyes, L. (2017). Evaluation of the Evolutionary Algorithms Performance in Many-Objective Optimization Problems Using Quality Indicators. Nature-Inspired Design of Hybrid Intelligent Systems. Springer.
Medaglia, A. L., Graves, S. B., & Ringuest, J. L. (2007). A multiobjective evolutionary approach for linearly constrained project selection under uncertainty. European journal of operational research, 179, 869-894.
Modares, A., Farimani, N. M., & Emroozi, V. B. (2022). A new model to design the suppliers portfolio in newsvendor problem based on product reliability. Journal of Industrial and Management Optimization.
Modares, A., Farimani, N. M., & Emroozi, V. B. (2022). Developing a Newsvendor Model based on the Relative Competence of Suppliers and Probable Group Decision-making. Industrial Management Journal, 115-142.
Mohagheghi, V., Mousavi, S. M., & Vahdani, B. (2015). A new optimization model for project portfolio selection under interval-valued fuzzy environment. Arabian Journal for Science and Engineering, 40, 3351-3361.
Moheghar, A., Mehregan, M., Azar, A., & Motahari, N. (2014). Designing a model for selecting construction projects in public sector. Journal of Industrial Management, 6, 831-847.
Molenaar, K. R., & Songer, A. D. (1988). Model for public sector design-build project selection. Journal of Construction Engineering and Management, 124, 467-479.
Nassif, L. N., Santiago Filho, J. C., & Noguera, J. M. (2013). Procedia-Social and Behavioral Sciences. Project portfolio selection in public administration using fuzzy logic, 74, 41-50.
Odior, A. (2012). An approach for solving linear fractional programming problems. International Journal of Engineering & Technology, 1, 298-304.
Orlu, G. U. (2021). Outsourcing Provider Selection Model in Public Sector . Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(3).
Perez, F., & Gomez, T. (2016). Multiobjective project portfolio selection with fuzzy constraints. Annals of Operations Research , 245, 7-29.
Roozkhosh, P. P. (2022). Blockchain acceptance rate prediction in the resilient supply chain with hybrid system dynamics and machine learning approach. Operations Management Research, 1-21.
Roozkhosh, P., & Motahari Farimani, N. (2022). Designing a new model for the hub location-allocation problem with considering tardiness time and cost uncertainty. International Journal of Management Science and Engineering Management, 1-15.
Saborido, R., Ruiz, A. B., Bermudez, J. D., Vercher, E., & Luque, M. (2016). Evolutionary multi-objective optimization algorithms for fuzzy portfolio selection. Applied Soft Computing , 39, 48-63.
Shybalkina, I. (2022). Toward a positive theory of public participation in government: Variations in New York City's participatory budgeting. Public Administration, 841-858.
Tofighian, A., & Naderi, B. (2015). Modeling and solving the project selection and scheduling. Computers & Industrial Engineering, 83, 30-38.
Wirick, D. (2011). Public-sector project management: Meeting the challenges and achieving results. John Wiley & Sons.
Wu, Y. J., & Chen, J.-C. (2021). A structured method for smart city project selection. International Journal of Information Management, 56.
Yang, T., Ignizio, J. P., & Kim, H. (1991). Fuzzy programming with nonlinear membership functions: piecewise linear approximation. Fuzzy sets and systems, 41, 39-53.
Youssef, H., Janzer-Araji, A., & Mazahreh, J. R. (2023). Public Investment-Maximizing the Development Impact. Jordan Economic Monitor.
Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8, 338-353.
Zavadskas, E. K., Turskis, Z., ŠliogerienÄ—, J., & VilutienÄ—, T. (2021). An integrated assessment of the municipal buildings’ use including sustainability criteria. Sustainable Cities and Society, 67.