Solving PERT Problems Involving Type-2 Fuzzy Uncertainty: An Approach

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• 作者：Juan Carlos Figueroa-García (21)
  Iván Darío Jiménez-Medina (21)
  Rausses Danilo Rojas-Olaya (21)
  
• 关键词：PERT ; Interval Type ; 2 Fuzzy Sets ; Linear Programming
• 刊名：Lecture Notes in Computer Science
• 出版年：2014
• 出版时间：2014
• 年：2014
• 卷：8916
• 期：1
• 页码：136-144
• 全文大小：236 KB
• 参考文献：1. Project Management Institute.: Project Management Body Of Knowledge (PMBOK) Guide. Fifth Edition, EE.UU (2004)
  2. Kelley, J., Walker, M.: Critical-path planning and scheduling. In: Eastern Joint IRE-AIEE-CM Computer Conference, pp. 160-73 (1959)
  3. USA Navy Defense Technical Information Center: PERT Summary Report, Phase 1. EE.UU (1959)
  4. MacCrimmon, K., Ryavec, C.: An Analytical Study of PERT Assumptions. United States Air Force Project RAND (1962)
  5. Shipley, M., De Korvin, A., Omer, K.: BIFPET methodology versus PERT in project management: fuzzy probability instead of the beta distribution. Engineering and Technology Management 14 (1997)
  6. Chen, S.-P.: Analysis of Critical Paths in a Project Network with Fuzzy Activity Times. European Journal of Operational Research?183, 442-59 (2007) f="http://dx.doi.org/10.1016/j.ejor.2006.06.053" target="_blank" title="It opens in new window">CrossRef
  7. Zadeh, L.A.: Fuzzy Sets. Information and Control?8, 338-53 (1965) f="http://dx.doi.org/10.1016/S0019-9958(65)90241-X" target="_blank" title="It opens in new window">CrossRef
  8. Fargier, H., Galvagnon, V., Dubois, D.: Fuzzy PERT in series-parallel graphs. In: Ninth IEEE International Conference on Fuzzy Systems, vol.?2, pp. 717-22 (2000)
  9. Hsiau, H., Lin, R.C.: A Fuzzy PERT Approach to Evaluate Plant Construction Project Scheduling Risk Under Uncertain Resources Capacity. Journal of Industrial Engineering and Management. 2, 31-7 (2013)
  10. Wang, J.-H., Hao, J.: Fuzzy Linguistic PERT. IEEE Transactions on Fuzzy Systems?15, 133-44 (2007) f="http://dx.doi.org/10.1109/TFUZZ.2006.879975" target="_blank" title="It opens in new window">CrossRef
  11. McCahon, C.S.: Using PERT as an Approximation of Fuzzy Project-Network Analysis. IEEE Transactions on Engineering Management?40, 146-53 (1993) f="http://dx.doi.org/10.1109/17.277406" target="_blank" title="It opens in new window">CrossRef
  12. Chen, S.-M., Wang, C.-Y.: Finding Multiple Possible Critical Paths Using Fuzzy PERT. IEEE Transactions on Systems, Man, and Cybernetics?31, 930-37 (2001) f="http://dx.doi.org/10.1109/3477.969496" target="_blank" title="It opens in new window">CrossRef
  13. Chanas, S., Zielinski, P.: Critical path analysis in the network with fuzzy activity times. Fuzzy Sets and Systems?122, 195-04 (2001) f="http://dx.doi.org/10.1016/S0165-0114(00)00076-2" target="_blank" title="It opens in new window">CrossRef
  14. Glisovic, N., Bojovic, N., Milenkovic, M.: Decision Support System for a Project Activity Time Forecasting Based on Fuzzy Pert Method. In: 32nd Int. Conf. on information Technology Interfaces, pp. 231-36 (2010)
  15. Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall PTR (1995)
  16. Liang, Q., Mendel, J.M.: Interval Type-2 Fuzzy Logic Systems: Theory and Design. IEEE Transactions on Fuzzy Systems?8, 535-50 (2000) f="http://dx.doi.org/10.1109/91.873577" target="_blank" title="It opens in new window">CrossRef
  17. Wu, D., Mendel, J.M.: Uncertainty measures for interval type-2 fuzzy sets. Information Sciences?177, 5378-393 (2007) f="http://dx.doi.org/10.1016/j.ins.2007.07.012" target="_blank" title="It opens in new window">CrossRef
  18. Liu, F., Mendel, J.M.: Encoding Words Into Interval Type-2 Fuzy Sets Using an Interval Approach. IEEE Transactions On Fuzzy Systems?16, 1503-521 (2008) f="http://dx.doi.org/10.1109/TFUZZ.2008.2005002" target="_blank" title="It opens in new window">CrossRef
  19. Figueroa-García, J.C.: A general model for Linear Programming with Interval Type-2 fuzzy technological coefficients. In: 2012 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS) (2012)
  20. Figueroa-García, J.C.: An approximation method for Type Reduction of an Interval Type-2 fuzzy set based on / α-cuts. In: Proceedings of FEDCSIS 2012 (2012)
  
• 作者单位：Juan Carlos Figueroa-García (21)
  Iván Darío Jiménez-Medina (21)
  Rausses Danilo Rojas-Olaya (21)
  
  21. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia
  
• ISSN：1611-3349

文摘

This paper proposes a method for solving the PERT (Program Evaluation and Review Technique) problem that involves uncertainty coming from the perception of multiple experts about the activities. The experts opinions over the duration of an activity is represented by interval Type-2 Fuzzy Sets (IT2FSs). Four linear programming models based on the α-cuts done over the duration of the activities of the project are proposed and solved, keeping fuzzy information coming from the experts into the solution.