Volume 21 , Issue 3 , PP: 143-153, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Navya Pratyusha M. 1 * , Ranjan Kumar 2
Doi: https://doi.org/10.54216/IJNS.210314
The research article offers an extensive examination of extended fuzzy principles and their practical applications for addressing networking problems. Extended fuzzy principles have gained a significant impact that serve as an act of expansion from crisp and fuzzy logic, in addressing various uncertain environmental conditions. The Critical Path Method (CPM) and Project Evaluation and Review Technique (PERT) have emerged as valuable tools for tackling complex applications of network problems. The main emphasis lies on the discussion of three important extended fuzzy principles: Intuitionistic, Pythagorean, and Neutrosophic, specifically in the context of CPM/PERT. Overall, this research article aims to provide valuable insights into the application of extended fuzzy principles, enabling better decision-making under different environmental conditions. The findings contribute to the ongoing development of fuzzy extensions and their potential to overcome challenges in networking.
Project Management , Network Analysis , Critical Path Method , Project Evaluation and Review Technique , Fuzzy Critical Path Method , Fuzzy Project Evaluation and Review Technique , Uncertainty , Extended Fuzzy Principle
[1] DR Fulkerson. A network flow computation for project cost curves. Management science, 7(2):167–178, 1961.
[2] WPrager. A structural method of computing project cost polygons. Management science, 9(3):394–404, 1963.
[3] HRZ Dolabi; A Afshar; R Abbasnia. Cpm/lob scheduling method for project deadline constraint satisfaction. Automation in Construction, 48:107–118, 2014.
[4] LA Zadeh. Fuzzy sets. Inform Control, 8:338–353, 1965.
[5] SSL Chang; LA Zadeh. On fuzzy mapping and control. Ieee Transactions on Systems, Man, and Cybernetics, (1):30–34, 1972.
[6] JQ Wang; Z Zhang. Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number. Control and Decision, 24(2):226–230, 2009.
[7] D Dubois; H Prade. Operations on fuzzy numbers. International Journal of systems science, 9(6):613– 626, 1978.
[8] K Atanassov. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1):87–96, 1986.
[9] J Wang. Multi-criteria decision-making approach with incomplete certain information based on ternary ahp. Journal of Systems Engineering and Electronics, 17(1):109–114, 2006.
[10] A Chakraborty; SP Mondal; S Alam; D Pamucar; D Marinkovic. A new idea to evaluate networking problem and mcgdm problem in parametric interval valued pythagorean arena. Discrete Dynamics in Nature and Society, 2022:1–20, 2022.
[11] F Smarandache. Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis. 1998.
[12] H Wang; F Smarandache; Y Zhang; R Sunderraman. Single valued neutrosophic sets. Infinite Study, 12, 2010.
[13] I Deli; Y Subas. A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems. International Journal of Machine Learning and Cybernetics, 8(4):1309–1322, 2017.
[14] MM Rahman; MC Barman; SK Saha. Fuzzy numerical results derived from crashing cpm. PERT networks of Padma bridge in Bangladesh, IJMTT, 52(9):603–607, 2017.
[15] MKhalilzadeh; H Shakeri; H Gholami; L Amini. A heuristic algorithm for project scheduling with fuzzy parameters. Procedia Computer Science, 121:63–71, 2017.
[16] F Habibi; O Birgani; H Koppelaar; S Radenovic. Using fuzzy logic to improve the project time and cost estimation based on project evaluation and review technique (pert). Journal of Project Management, 3(4):183–196, 2018.
[17] JS Tenjo-Garc´ıa; JC Figueroa-Garc´ıa. Simulation-based fuzzy pert problems. In 2019 Ieee Colombian Conference on Applications in Computational Intelligence (colcaci), pages 1–5. IEEE, 2019.
[18] MA Ammar; SI Abd-ElKhalek. Criticality measurement in fuzzy project scheduling. International Journal of Construction Management, 22(2):252–261, 2022.
[19] AM Shuaibu; MN Muhammad. Analysis of patients flow in an emergency ward using fuzzy critical path method and fuzzy program evalution and review technique (a case study of aminu kano teaching hospital, kano, nigeria). 2022.
[20] J Ye. Prioritized aggregation operators of trapezoidal intuitionistic fuzzy sets and their application to multicriteria decision-making. Neural Computing and Applications, 25:1447–1454, 2014.
[21] RR Yager; AM Abbasov. Pythagorean membership grades, complex numbers, and decision making. International Journal of Intelligent Systems, 28(5):436–452, 2013.
[22] RR Yager. Pythagorean membership grades in multicriteria decision making. volume 22, pages 958–965. IEEE, 2013.
[23] Y Subas. Neutrosophic numbers and their application to multi-attribute decision making problems. Master’s thesis, 2015.
