1. Home
  2. Issues
  3. Volume 31, Issue 2 (2020)
  4. Public-Private Partnership Decision Maki ...

Informatica


Public-Private Partnership Decision Making Based on Correlation Coefficients of Single-Valued Neutrosophic Hesitant Fuzzy Sets
Volume 31, Issue 2 (2020), pp. 359–397
Pub. online: 25 March 2020      Type: Research Article      Open accessOpen Access
Received
1 December 2018
Accepted
1 February 2020
Published
25 March 2020

Abstract

Public-private partnership (PPP) is regarded as an innovative way to the procurement of public projects. Models vary with PPP projects due to their differences. The evaluation criteria are usually complex and the judgments offered by decision makers (DMs) show the characteristics of fuzziness and uncertainty. Considering these cases, this paper first analyses the risk factors for PPP models and then proposes a new method for selecting them in the setting of single-valued neutrosophic hesitant fuzzy environment. To achieve these purposes, two single-valued neutrosophic hesitant fuzzy correlation coefficients are defined to measure evaluated PPP models. Considering the weights of the risk factors and their interactions, two single-valued neutrosophic hesitant fuzzy 2-additive Shapley weighted correlation coefficients are defined. When the 2-additive measure on the risk factor set is not exactly known, several distance measure-based programming models are constructed to determine it. Based on these results, an algorithm for evaluating PPP models with single-valued neutrosophic hesitant fuzzy information is developed. Finally, a practical numerical example is provided to verify the validity and feasibility of the new method.

References

 
Ai, S.Z., Du, R., Brugha, C.M., Wang, H.P. (2016). Pointing to priorities for multiple criteria decision making – the case of a MIS-based project in China. International Journal of Information Technology & Decision Making, 15(3), 683–702.
 
Ahmadabadi A.A., Heravi, G. (2019). Risk assessment framework of PPP-megaprojects focusing on risk interaction and project success. Transportation Research Part A: Policy and Practice, 124, 169–188.
 
Akansha, M., Amit, K. (2019). Commentary on “New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making”. Pattern Analysis and Applications, 22(3), 1207–1209.
 
Akintoye, A., Hardcastle, C., Beck, M., Chinyio, E., Darinka Asenova, D. (2003). Achieving best value in private finance initiative project procurement. Construction Management and Economics, 21(5), 461–470.
 
An, X.W., Wang, Z.F., Li, H.M., Ding, J.Y. (2018). Project delivery system selection with interval-valued intuitionistic fuzzy set group decision-making method. Group Decision and Negotiation, 27(4), 689–707.
 
Atanassov, K.T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
 
Bao, F.Y., Martek, I., Chen, C., Chan, A.P., Yu, Y. (2018). Lifecycle performance measurement of public-private partnerships: a case study in China’s water sector. International Journal of Strategic Property Management, 22(6), 516–531.
 
Biswas, P., Pramanik, S., Giri, B.C. (2016a). Some distance measures of single valued neutrosophic hesitant fuzzy sets and their applications to multiple attribute decision making. In: New Trends in Neutrosophic Theory and Applications, pp. 27–34.
 
Biswas, P., Pramanik, S., Giri, B.C. (2016b). GRA method of multiple attribute decision making with single valued neutrosophic hesitant fuzzy set information. In: New Trends in Neutrosophic Theory and Applications, pp. 55–63.
 
Brandenburg, M., Govindan, K., Sarkis, J., Seuring, S. (2014). Quantitative models for sustainable supply chain management: developments and directions. European Journal of Operational Research, 233, 299–312.
 
Budayan, C. (2018). Evaluation of delay causes for BOT projects based on perceptions of different stakeholders in Turkey. Journal of Management in Engineering, 35(1), 1–13.
 
Capuano, N., Chiclana, F., Fujita, H., Herrera-Viedma, E., Loia, V. (2018). Fuzzy group decision making with incomplete information guided by social influence. IEEE Transactions on Fuzzy Systems, 26(3), 1704–1718.
 
Chen, Y.Q., Lu, H.Q., Lu, W.X., Zhang, N. (2010). Analysis of project delivery systems in Chinese construction industry with data envelopment analysis (DEA). Engineering, Construction and Architectural Management, 17(6), 598–614.
 
Chen, N., Xu, Z.S., Xia, M.M. (2013). Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Applied Mathematical Modelling, 37, 2197–2211.
 
Dai, Q.T., Molenaar, K.R. (2015). Risk-based project delivery selection model for highway design and construction. Journal of Construction Engineering and Management, 141(12), 1–9.
 
Delmon, J. (2000). BOO/BOT projects: a commercial and contractual guide. Sweet and Maxwell, 1(1), 40–62.
 
Feng, K., Wang, S.Q., Li, N., Wu, C.L., Xiong, W. (2018). Balancing public and private interests through optimization of concession agreement design for user-pay PPP projects. Journal of Civil Engineering and Management, 24(2), 116–129.
 
Ghavamifar, K., Touran, A. (2008). Alternative project delivery systems: applications and legal limits in transportation projects. Journal of Professional Issues in Engineering Education and Practice, 134(1), 106–111.
 
Ginevicius, R., Zubrecovas, V. (2009). Selection of the optimal real estate investment project basing on multiple criteria evaluation using stochastic dimensions. Journal of Business Economics and Management, 10, 261–270.
 
Grabisch, M. (1997). K-order additive discrete fuzzy measures and their representation. Fuzzy Sets and Systems, 92(2), 167–189.
 
Gudas, S., Lopata, A. (2016). Towards internal modelling of the information systems application domain. Informatica, 27(1), 1–29.
 
Huang, Y.W. (2007). Research on evaluation method and decision making of PPP project. Shanghai, Tongji University, pp. 8-11.
 
Huang, L., Tan, Y., Song, X., Huang, X., Wang, H., Zhang, S., Dong, J., Chen, R. (2003). The status of the ecological environment and a proposed protection strategy in Sanya Bay, Hainan Island, China. Marine Pollution Bulletin, 47(1–6), 180–186.
 
Jang, S. (2011). A concessionaire selection decision model development and application for the PPP project procurement. University of Southampton, School of Management, Doctoral Thesis.
 
Jin, H.Y., Liu, S.J., Liu, C.L., Udawatta, N. (2019). Optimizing the concession period of PPP projects for fair allocation of financial risk. Engineering Construction and Architectural Management, 26(10), 2347–2363.
 
John, E.S., Isr, W. (2003). Alternate financing strategies for build-operate-transfer projects. Journal of Construction Engineering and Management, 129(2), 205–213.
 
Ke, Y.J., Wang, S.Q., Chan, A.P.C., Lam, P.T.I. (2010). Preferred risk allocation in China’s public-private partnership (PPP) projects. International Journal of Project Management, 28(5), 482–492.
 
Kwofie, T.E., Aigbavboa, C.O., Thwala, W.D. (2019). Communication performance challenges in PPP projects: cases of Ghana and South Africa. Built Environment Project and Asset Management, 9(5), 628–641.
 
Li, X., Zhang, X.H. (2018). Single-valued neutrosophic hesitant fuzzy Choquet aggregation operators for multi-attribute decision making. Symmetry, 10, 1–15. 2018.
 
Liu, C.F., Luo, Y.S. (2019). New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making. Pattern Analysis and Applications, 22(2), 417–427.
 
Liu, Y., Xu, Y.L., Wang, Z.Y. (2018a). The effect of public target on the public-private partnership (PPP) residential development. International Journal of Strategic Property Management, 22(5), 415–423.
 
Liu, S.J., Jin, H.Y., Xie, B.Z., Liu, C.L., Mills, A. (2018b). Concession period determination for PPP retirement village. International Journal of Strategic Property Management, 22(5), 424–435.
 
Liu, B., Shen, J.Q., Meng, Z.J., Sun, F.H. (2018c). A survey on the establishment and application of social capital partner selection system for the new profit PPP project. KSCE Journal of Civil Engineering, 22(10), 3726–3737.
 
Luu, D.T., Ng, S.T., Chen, S.E. (2005). Formulating procurement selection criteria through case-based reasoning approach. Journal of Computing in Civil Engineering, 19(3), 269–276.
 
Mahdi, I.M., Alreshaid, K. (2005). Decision support system for selecting the proper project delivery method using analytical hierarchy process (AHP). International Journal of Project Management, 23(7), 564–572.
 
Meng, F.Y., Tang, J. (2013). Interval-valued intuitionistic fuzzy multiattribute group decision making based on cross entropy measure and Choquet integral. International Journal of Intelligent Systems, 28(12), 1172–1195.
 
Meng, F.Y., Chen, X.H. (2015a). Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures. Soft Computing, 19(7), 2071–2082.
 
Meng, F.Y., Chen, X.H. (2015b). Correlation coefficients of hesitant fuzzy sets and their application based on fuzzy measures. Cognitive Computation, 7(4), 445–463.
 
Meng, F.Y., Tang, J., Li, C.L. (2018). Uncertain linguistic hesitant fuzzy sets and their application in multi-attribute decision making. International Journal of Intelligent Systems, 33(3), 586–614.
 
Mohamed, S., Mccoan, A.K. (2001). Modelling project investment decisions under uncertainty using possibility theory. International Journal of Project Management, 19(4), 231–241.
 
Murthy, C.A., Pal, S.K., Majumder, D.D. (1985). Correlation between two fuzzy membership functions. Fuzzy Sets and Systems, 17(1), 23–38.
 
Ogunlana, S.O. (1997). Build operate transfer procurement traps: examples from transportation projects in Thailand. In: Proceedings of the CIB W92 Symposium on Procurement. IF Research Corporation, pp. 585–594.
 
Osei-Kyei, R., Chan, A.P.C. (2018a). Stakeholders’ perspectives on the success criteria for public-private partnership projects. International Journal of Strategic Property Management, 22(2), 131–142.
 
Osei-Kyei, R., Chan, A.P.C. (2018b). Comparative study of governments’ reasons/motivations for adopting Public-Private Partnership Policy in developing and developed economies/countries. International Journal of Strategic Property Management, 22(5), 403–414.
 
Osei-Kyei, R., Chan, A.P., Javed, A.A., Ameyaw, E.E. (2017). Critical success criteria for public-private partnership projects: international experts’ opinion. International Journal of Strategic Property Management, 21(1), 87–100.
 
Pang, J.J., Wang, J.Q., Hu, J.H., Tian, C. (2018). Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator. Journal of Intelligent & Fuzzy Systems, 33(3), 3661–3674.
 
Pellegrino, R., Carbonara, N., Costantino, N. (2019). Public guarantees for mitigating interest rate risk in PPP projects. Built Environment Project and Asset Management, 9(2), 248–261.
 
Şahin, R., Liu, P.D. (2016). Distance and similarity measures for multiple attribute decision making with single-valued neutrosophic hesitant fuzzy information. In: New Trends in Neutrosophic Theory and Applications, pp. 35–54.
 
Şahin, R., Liu, P.D. (2017). Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making. Neural Computing and Applications, 28(6), 1387–1395.
 
Shakeri, E., Dadpour, M., Jahromi, H.A. (2015). The combination of fuzzy ELECTRE and SWOT to select private sectors in partnership projects case study of water treatment project in Iran. International Journal of Civil Engineering, 13(1A), 55–67.
 
Shalaby, A., Hassanein, A. (2019). A decision support system (DSS) for facilitating the scenario selection process of the renegotiation of PPP contracts. Engineering Construction and Architectural Management, 26(6), 1004–1023.
 
Shapley, L.S. (1953). A value for n-person game. In: Kuhn, H., Tucker, A. (Eds.), Contributions to the Theory of Games. Princeton University Press, Princeton.
 
Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth.
 
Song, J.B., Yu, Y.Z., Jin, L.L., Feng, Z. (2018). Early termination compensation under demand uncertainty in public-private partnership projects. International Journal of Strategic Property Management, 22(6), 532–543.
 
Su, L.M., Wang, T.Z., Wang, L.Y., Li, H.M., Cao, Y.C. (2019). Project procurement method selection using a multi-criteria decision-making method with interval neutrosophic sets. Information, 10(6), 1–14.
 
Sugeno, M. (1974). Theory of Fuzzy Integral and its Applications. Doctorial Dissertation, Tokyo Institute of Technology.
 
Szmidt, E., Kacprzyk, J. (2010). Correlation of intuitionistic fuzzy sets. In: International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems. Springer, Berlin, Heidelberg, pp. 169–177.
 
Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems, 25(6), 529–539.
 
Ureña, M.R., Chiclana, F., Morente-Molinera, J.A., Herrera-Viedma, E. (2015). Managing incomplete preference relations in decision making: a review and future trends. Information Sciences, 302(1), 14–32.
 
Valipour, A., Yahaya, N., Md Noor, N., Mardani, A., Antuchevičienè, J. (2016). A new hybrid fuzzy cybernetic analytic network process model to identify shared risks in PPP projects. International Journal of Strategic Property Management, 20(4), 409–416.
 
Wang, S., Qin, K.L. (2015). Study on decision making of PPP project contract awarding mode based on theory of intuitionistic fuzzy sets. Yangtze River, 46(1), 66–69.
 
Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R. (2005). Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. Hexis, Phoenix, Arizona, USA.
 
Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace and Multistructure, 4, 410–413.
 
Weissenböck, S., Girmscheid, G. (2013). Concept of a quantitative project selection model for PPP projects. Auf: CIB World Building Congress.
 
Xu, Z.S. (2010). Choquet integrals of weighted intuitionistic fuzzy information. Information Sciences, 180(5), 726–736.
 
Xu, D., Hong, Y., Xiang, K. (2019). A method of determining multi-attribute weights based on single-valued neutrosophic numbers and its application in TODIM. Symmetry, 11(4), 1–12.
 
Yan, X., Chong, H.Y., Zhou, J., Sheng, Z.H., Xu, F. (2020). Fairness preference based decision-making model for concession period in PPP projects. Journal of Industrial and Management Optimization, 16(1), 11–23.
 
Yang, C.L., Shieh, M.C., Huang, C.Y., Tung, C.P. (2018). A derivation of factors influencing the successful integration of corporate volunteers into public flood disaster inquiry and notification systems. Sustainability, 10(6), 1–31. 1973.
 
Ye, J. (2013). Multicriteria decision-making method using correlation coefficient under single-valued neutrosophic environment. International Journal of General Systems, 42(4), 386–394.
 
Ye, J. (2014a). Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making. Journal of Intelligent and Fuzzy Systems, 27(5), 2231–2241.
 
Ye, J. (2014b). Improved correlation coefficients of single valued neutrosophic sets and interval neutrosophic sets for multiple attribute decision making. Journal of Intelligent and Fuzzy Systems, 27(5), 2453–2462.
 
Ye, J. (2015). Multiple-attribute decision-making method under a single-valued neutrosophic hesitant fuzzy environment. Journal of Intelligent Systems, 24(1), 23–36.
 
Ye, J. (2016). Correlation Coefficients of interval neutrosophic hesitant fuzzy sets and its application in a multiple attribute decision making method. Informatica, 27(1), 179–202.
 
Ye, J. (2018). Multiple-attribute decision-making method using similarity measures of single-valued neutrosophic hesitant fuzzy sets based on least common multiple cardinality. Journal of Intelligent & Fuzzy Systems, 34(6), 4203–4211.
 
Yuan, J., Skibniewski, M.J., Li, Q., Zheng, L. (2010). Performance objectives selection model in public-private partnership projects based on the perspective of stakeholders. Journal of Management Engineering, 26(1), 89–104.
 
Zadeh, L.A. (1965). Fuzzy sets. Information Control, 8(3), 338–353.
 
Zadeh, L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 8(3), 199–249.
 
Zhang, X.Q. (2005). Paving the way for public-private partnerships in infrastructure development. Journal of Construction Engineering and Management, 1311(1), 71–80.
 
Zhang, C.L., Liang, Y.Z., Huang, Z., Qiao, H.J., Zhang, S. (2019). Selection of PPP program models based on ecological compensation in the Chishui Watershed. Water Policy, 21(3), 582–601.

Biographies

Meng Fanyong
mengfanyongtjie@163.com

F. Meng is a professor at School of Business, Central South University. He received his master’s degree from School of Mathematics and Information Science, Guangxi University, China, in 2008, and earned his PhD degree from School of Management and Economics, Beijing Institute of Technology, China, in 2011. He finished his postdoctoral work at School of Business, Central South University, China in 2016. Currently, he has contributed over 130 journal articles to professional journals. His research interests include fuzzy mathematics, decision making and game theory.

Tang Jie
tjie411@126.com

J. Tang is carrying out her PhD degree at School of Business, Central South University. She received her master’s degree from School of Management, Qingdao Technological University, China, in 2008. Currently, she has contributed 35 journal articles to professional journals. Her research interests include uncertain multi-attribute decision making, cluster analysis, and pattern recognition.

Zhang Shaolin
zhangshaolin2018@163.com

S. Zhang is carrying out his PhD degree at School of Business, Central South University. He received his master’s degree from School of Mathematics and Information Science, Guangxi University, China, in 2008. Currently, he has contributed 10 journal articles to professional journals. His current research interests include group decision making, preference relation and quality planning.

Xu Yanwei
xyw161611117@163.com

Y. Xu received her master’s degree at School of Business, Central South University, China in 2018. Currently, she has contributed 5 journal articles to professional journals. Her current research interest includes fuzzy decision making with interactions.


Full article Related articles Cited by PDF XML
Full article Related articles Cited by PDF XML

Copyright
© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
public-private partnership decision making single-valued neutrosophic hesitant fuzzy set correlation coefficient the Shapley function

Funding
This work was supported by the National Natural Science Foundation of China (No. 71571192), the Beijing Intelligent Logistics System Collaborative Innovation Center (No. 2019KF-09), and the Major Project for National Natural Science Foundation of China (No. 71790615).

Metrics
since January 2020
2366

Article info
views

1128

Full article
views

1128

PDF
downloads

365

XML
downloads


Share


RSS