Determining project characteristics and critical path by a new approach based on modified NWRT method and risk assessment under an interval type-2 fuzzy environment

Document Type : Article

Authors

1 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

2 Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

3 Laboratoire de Conception, Fabrication Commande, Arts et Metier Paris Tech, Centre de Metz, Metz, France.

Abstract

In this paper with respect to the importance of risks in real-world projects and ability of interval type-2 fuzzy sets (IT2FSs) to tackle the uncertainty, a new approach is introduced to consider risks and the correlation among risk factors by subjective judgments of experts on the probability and impact under IT2FSs. Furthermore, a new impact function for considering the correlation among the risk factors are extended under an IT2F environment. Moreover, a new subtraction operator is introduced for the critical path analysis. The node-weighted rooted tree (NWRT) method is modified based on the proposed new operator to avoid producing negative number for characteristics of each activity. Also, in order to cope with the uncertainty of the projects, NWRT method is developed under the IT2FSs. Eventually, to illustrate the validity and capability of the proposed method, two examples from the literature are solved and compared.

Keywords

Main Subjects


References:
1. Kerzner, H., Project Management: A Systems Approach to Planning, Scheduling, and Controlling, 12th Edn., John Wiley & Sons, US (2017).
2. Malcolm, D.G., Roseboom, J.H., Clark, C.E., and Fazar, W. "Application of a technique for research and development program evaluation", Operations Research, 7(5), pp. 646-669 (1959).
3. Chanas, S. and Zielinski, P. "Critical path analysis in the network with fuzzy activity times", Fuzzy Sets and Systems, 122(2), pp. 195-204 (2001).
4. Zareei, A., Zaerpour, F., Bagherpour, M., Noora, A.A., and Vencheh, A.H. "A new approach for solving fuzzy critical path problem using analysis of events", Expert Systems with Applications, 38(1), pp. 87-93 (2011).
5. Zadeh, L.A. "Fuzzy sets as basis for a theory of possibility", Fuzzy Sets and Systems, 1, pp. 3-28 (1978).
6. Project Management Institute, A Guide to the Project Management Body of Knowledge (PM-BOK Guide), 5th Edn., US (2013).
7. Espinoza, R.D. "Separating project risk from the time value of money: A step toward integration of risk management and valuation of infrastructure investments", International Journal of Project Management, 32(6), pp. 1056-1072 (2014).
8. Yim, R., Castaneda, J., Doolen, T., Tumer, I., and Malak, R. "A study of the impact of project classification on project risk indicators", International Journal of Project Management, 33(4), pp. 863-876 (2015).
9. Golini, R., Kalchschmidt, M., and Landoni, P. "Adoption of project management practices: The impact on international development projects of nongovernmental organizations", International Journal of Project Management, 33(3), pp. 650-663 (2015).
10. Carvalho, M.M.D. and Rabechini Junior, R. "Impact of risk management on project performance: The importance of soft skills", International Journal of Production Research, 53(2), pp. 321-340 (2015).
11. Muriana, C. and Vizzini, G. "Project risk management: A deterministic quantitative technique for assessment and mitigation", International Journal of Project Management, 35(3), pp. 320-340 (2017).
12. Kuchta, D. "Use of fuzzy numbers in project risk (criticality) assessment", International Journal of Project Management, 19(5), pp. 305-310 (2001).
13. Smith, N.J., Appraisal, Risk and Uncertainty, 1st Ed., Thomas Telford UK (2003).
14. Ksi _zek, M.V., Nowak, P.O., Kivrak, S., Ros lon, J.H., and Ustinovichius, L. "Computer-aided decisionmaking in construction project development", Journal of Civil Engineering and Management, 21(2), pp. 248- 259 (2015).
15. Barber, R.B. "Understanding internally generated risks in projects", International Journal of Project Management, 23(8), pp. 584-590 (2005).
16. Ebrahimnejad, S., Mousavi, S.M., Tavakkoli-Moghaddam, R., and Heydar, M. "Evaluating high risks in large-scale projects using an extended VIKOR method under a fuzzy environment", International Journal of Industrial Engineering Computations, 3, pp. 463-476 (2012).
17. Mousavi, S.M., Tavakkoli-Moghaddam, R., Azaron, A., Mojtahedi, S.M.H., and Hashemi, H. "Risk assessment for highway projects using Jackknife technique", Expert Systems with Applications, 38, pp. 5514-5524 (2011).
18. Mousavi, S.M., Tavakkoli-Moghaddam, R., Hashemi, H., and Mojtahedi, S.M.H. "A novel approach based on non-parametric resampling with the interval analysis for large engineering project risks", Safety Science, 49, pp. 1340-1348 (2011).
19. Hashemi, H., Mousavi, S.M., and Mojtahedi, S.M.H. "Bootstrap technique for risk analysis with interval numbers in bridge construction projects", Journal of Construction Engineering and Management - ASCE, 137(8), pp. 600-608 (2011).
20. Makui, A., Mojtahedi, S.M.H., and Mousavi, S.M. "Project risk identification and analysis based on group decision making methodology in a fuzzy environment", International Journal of Management Science and Engineering Management, 5(2), pp. 108-118 (2010).
21. El-Sayegh, S.M. "Risk assessment and allocation in the UAE construction industry", International Journal of Project Management, 26(4), pp. 431-438 (2008).
22. Liang, G.S. and Han, T.C. "Fuzzy critical path for project network", Information and Management Sciences, 15(4), pp. 29-40 (2004).
23. Kumar, A. and Kaur, P. "A new method for fuzzy critical path analysis in project networks with a new representation of triangular fuzzy numbers", Applications and Applied Mathematics: An International Journal, 5(10), pp. 1442-1466 (2010).
24. Shankar, N.R. and Saradhi, B.P. "Fuzzy critical path method in interval-valued activity networks", International Journal of Pure and Applied Sciences and Technology, 3(2), pp. 72-79 (2011).
25. Taylan, O., Bafail, A.O., Abdulaal, R.M., and Kabli, M.R. "Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies", Applied Soft Computing, 17, pp. 105-116 (2014).
26. Kuchta, D. and Ptaszynska, E. "Fuzzy based risk register for construction project risk assessment", AIP Conference Proceedings, 1863(1), pp. 1011-1019 (2017).
27. Asan, U.M.U.T., Soyer, A., and Bozdag, E. "An interval type-2 fuzzy prioritization approach to project risk assessment", Journal of Multiple-Valued Logic and Soft Computing, 26(6), pp. 541-577 (2016).
28. Mendel, J. and Wu, D., Perceptual Computing: Aiding People in Making Subjective Judgments, 1st Ed., John Wiley & Sons, US (2010).
29. Mendel, J.M. "Type-2 fuzzy sets and systems: An overview", IEEE Computational Intelligence Magazine, 2(2), pp. 20-29 (2007).
30. Deveci, M., Demirel, N.C ., and Ahmetoglu, E. "Airline new route selection based on interval type-2 fuzzy MCDM: A case study of new route between Turkey- North American region destinations", Journal of Air Transport Management, 59, pp. 83-99 (2017).
31. Qin, J., Liu, X., and Pedrycz, W. "An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment", European Journal of Operational Research, 258(2), pp. 626-638 (2017).
32. Abdullah, L. and Najib, L. "A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process", Expert Systems with Applications, 41(7), pp. 3297-3305 (2014).
33. Ghorabaee, M.K., Amiri, M., Zavadskas, E.K., Turskis, Z., and Antucheviciene, J. "A new multicriteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations", Computers & Industrial Engineering, 112, pp. 156-174 (2017).
34. Abdullah, L. and Zulkii, N. "A new DEMATEL method based on interval type-2 fuzzy sets for developing causal relationship of knowledge management criteria", Neural Computing and Applications, 29, pp. 1-17 (2018).
35. Kilic, M. and Kaya, _I. "Investment project evaluation by a decision making methodology based on type-2 fuzzy sets", Applied Soft Computing, 27, pp. 399-410 (2015).
36. Ghorabaee, M.K., Amiri, M., Sadaghiani, J.S., and Zavadskas, E.K. "Multi-criteria project selection using an extended VIKOR method with interval type-2 fuzzy sets", International Journal of Information Technology & Decision Making, 14(5), pp. 993-1016 (2015).
37. Oztaysi, B. "A group decision making approach using interval type-2 fuzzy AHP for enterprise information systems project selection", Journal of Multiple-Valued Logic & Soft Computing, 24(5), pp. 475-500 (2015).
38. Bozdag, E., Asan, U., Soyer, A., and Serdarasan, S. "Risk prioritization in failure mode and effects analysis using interval type-2 fuzzy sets", Expert Systems with Applications, 42(8), pp. 4000-4015 (2015).
39. Mohagheghi, V., Mousavi, S.M., and Vahdani, B. "Analyzing project cash  flow by a new interval type-2 fuzzy model with an application to construction industry", Neural Computing and Applications, 28(11), pp. 3393- 3411 (2017).
40. Mohagheghi, V., Mousavi, S.M., Vahdani, B., and Shahriari, M.R. "R&D project evaluation and project portfolio selection by a new interval type-2 fuzzy optimization approach", Neural Computing and Applications, 28(12), pp. 3869-3888 (2017).
41. Zadeh, L.A. "Fuzzy sets", Information and Control, 8(3), pp. 338-353 (1965).
42. Zadeh, L.A. "The concept of a linguistic variable and its application to approximate reasoning-I", Information Sciences, 8(3), pp. 199-249 (1975).
43. Chen, T.Y. "A linear assignment method for multiplecriteria decision analysis with interval type-2 fuzzy sets", Applied Soft Computing, 13(5), pp. 2735-2748 (2013).
44. Bezdek, J.C., Pattern Recognition with Fuzzy Objective Function Algorithms, 1st Edn., Springer Science & Business Media, US (2013).
45. Celikyilmaz, A. and Turksen, I.B. "Modeling uncertainty with fuzzy logic", Studies in Fuzziness and Soft Computing, 240, pp. 149-215 (2009).
46. Shankar, N.R., Sireesha, V., and Rao, P.P.B. "An analytical method for finding critical path in a fuzzy project network", International Journal of Contemporary Mathematical Sciences, 5(20), pp. 953-962 (2010).
47. Kumar, A. and Kaur, P. "A new approach for fuzzy critical path analysis", International Journal of Mathematics in Operational Research, 3(3), pp. 341-357 (2011).
48. Rao, P.P.B. and Shankar, N.R. "Fuzzy critical path analysis based on centroid of centroids of fuzzy numbers and new subtraction method", International Journal of Mathematics in Operational Research, 5(2), pp. 205-224 (2013).
49. Yakhchali, S.H. and Ghodsypour, S.H. "Computing latest starting times of activities in interval-valued networks with minimal time lags", European Journal of Operational Research, 200(3), pp. 874-880 (2010).
50. Yakhchali, S.H. and Ghodsypour, S.H. "On the latest starting times and criticality of activities in a network with imprecise durations", Applied Mathematical Modelling, 34(8), pp. 2044-2058 (2010).
51. Sireesha, V. and Shankar, N.R. "A new approach to find project characteristics and multiple possible critical paths in a fuzzy project network", Fuzzy Information and Engineering, 5(1), pp. 69-85 (2013).
52. Sireesha, V. and Shankar, N.R. "A node-weighted rooted tree (NWRT) method to find project characteristics and critical path in a triangular fuzzy project network", Computational and Applied Mathematics, 37(2), pp. 1971-1985 (2018).
53. Madhuri, K.U., Babu, S.S., and Shankar, N.R. "Fuzzy risk analysis based on the novel fuzzy ranking with new arithmetic operations of linguistic fuzzy numbers", Journal of Intelligent & Fuzzy Systems, 26(5), pp. 2391-2401 (2014).
54. Hu, J., Zhang, Y., Chen, X., and Liu, Y. "Multicriteria decision making method based on possibility degree of interval type-2 fuzzy number", Knowledge- Based Systems, 43, pp. 21-29 (2013).
55. Mendel, J.M., John, R.I., and Liu, F. "Interval type-2 fuzzy logic systems made simple", IEEE Transactions on Fuzzy Systems, 14(6), pp. 808-821 (2006).
56. Chen, S.M. and Lee, L.W. "Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method", Expert Systems with Applications, 37(4), pp. 2790-2798 (2010).
57. Hu, J., Xiao, K., Chen, X., and Liu, Y. "Interval type-2 hesitant fuzzy set and its application in multicriteria decision making", Computers & Industrial Engineering, 87, pp. 91-103 (2015).
58. Li, D. and Gu, Y. "Method for ranking interval numbers based on possibility degree", Xitong Gongcheng Xuebao, 23(2), pp. 243-261 (2008).