Fuzzy Analytic Hierarchy Process (FAHP) Integrations for Decision Making Purposes: A Review

A. Z. Mohamed Noor, M.H.F. Md Fauadi, F.A. Jafar, M.H. Nordin, S.H. Yahaya, S. Ramlan, M.A. Shri Abdul Aziz

Abstract


Fuzzy Analytic Hierarchy Process (FAHP) is generally used as decision making purpose. However, AHP provides a single numerical number. As the method can only yield binary decisions of either “yes” or “no”, the method is not compatible when the decision has uncertainties. Consequently, previous researchers have fused AHP with fuzzy to process alternatives with uncertainty judgment. In this paper, fundamental knowledge of separate tool was reviewed. Fundamental of both fuzzy and AHP were also  summarized in this article. The next phase of this paper was to split the types of FAHP namely to determine the relative weight and the rank or score. Two methods were utilized under FAHP to determine relative weight ; triangular and trapezoidal FAHP. Next type of FAHP was to determine the score of each alternative often carried out after triangular or trapezoidal FAHP. The second types of FAHP were Fuzzy TOPSIS, and VIKOR. These FAHPs were explained and steps to carry out were presented in this paper. In conclusion, all types of FAHP are compared in terms of computational time, number of steps and level of difficulty.


Full Text:

PDF FLIPBOOK

References


H. F. Fauadi, M. H. Nordin and Z. M. Zainon, “Frontal obstacle avoidance of an autonomous subsurface vehicle (ASV) using fuzzy logic method,” in International Conference of Intelligence Advance System, 2007, pp. 125–128.

J. R. A. Hambali, C.M. Goh and F.M.T. Amira, “Material Selection For Automotive Fender Design Using Integrated AHP-TOPSIS,” Journal of Advanced Manufacturing Technology, vol. 10, no. 2, pp. 29–44, 2016.

M.H.F.M. Fauadi and T. Murata, “Makespan Minimization of Machines and Automated Guided Vehicles Schedule Using Binary Particle Swarm Optimization,” Lecture Notes in Engineering and Computer Science, pp. 1897–1902, 2010.

S. Haghighi, “Application of Analytical Hierarchy Process ( AHP ) Technique To Evaluate and Selecting Suppliers in an Effective Supply Chain,” Kuwait Chapter of Arabian Journal of Business and Management Review, vol. 1, no. 8, pp. 1–14, 2012.

C. Yang, Y. Zheng, M. Zhu, Z. Zuo, X. Chen and X. Peng, “A Testability Allocation Method Based on Analytic Hierarchy Process and Comprehensive Weighted,” in International Conference on Industrial Electronics and Applications , 2014, pp. 113–116.

M.H.F.B.M. Fauadi, W.L. Li and T. Murata, “Combinatorial auction method for decentralized task assignment of multiple-loading capacity AGV based on intelligent agent architecture,” in IEEE 2nd International Conference of Innovation Bio-Inspired Computer Application, 2011, pp. 207–211.

Y. Sun, S. Tang, Z. Meng, Y. Zhao and Y. Yang, “A scalable accuracy fuzzy logic controller on FPGA,” Expert System with Applications, vol. 42, no. 19, pp. 6658–6673, 2015.

V. Rau, F. Ahmad, M. Z. Hassan and K. Hudha, “Identification of Intelligent Controls in Developing Anti-Lock Braking System,” Journal of Advanced Manufacturing Technology, vol. 7, no. 1, pp. 1–14, 2013.

H. Y. Wu, G. H. Tzeng and Y. H. Chen, “A fuzzy MCDM approach for evaluating banking performance based on Balanced Scorecard,” Expert System with Applications, vol. 36, no. 6, pp. 10135–10147, 2009.

T. L. Saaty and L. T. Tran, “On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process,” Mathematics Computer Modelling, vol. 46, pp. 962–975, 2007.

D.-Y. Chang, “Applications of the extent analysis method on fuzzy AHP,” European Journal of Operation Research, vol. 95, no. 95, pp. 649–655, 1996.

J. Wang, D. Ding, O. Liu and M. Li, “A Synthetic Method for Knowledge Management Performance Evaluation Based on Triangular Fuzzy Number and Group Support Systems,” Applied Soft Computing, vol. 36, pp. 11-20, 2016.

T. Mushiri and N. Chirinda, “The Role of Fuzzy Logic Systems for Control of The Pneumatic Valve of Bottle Washer in Beverage Companies, Specifically The Krones Group of Companies.,” Journal of Advanced Manufacturing Technology, vol. 6, no. 2, pp. 83–95, 2012.

J. H. Ezzabadi, M. D. Saryazdi and A. Mostafaeipour, “Implementing Fuzzy Logic and AHP into the EFQM model for performance improvement: A case study,” Applied Soft Computing, vol. 36, pp. 165–176, 2015.

S. Lee and K. Seo, “A Hybrid Multi-Criteria Decision-Making Model for a Cloud Service Selection Problem Using BSC , Fuzzy Delphi Method and Fuzzy AHP,” Wireless Personal Communication, vol. 86, pp. 57-75, 2016.

O. Taylan, M. R. Kabli, M. Saeedpoor and A. Vafadarnikjoo, “Commentary on Construction projects selection and risk assessment by Fuzzy AHP and Fuzzy TOPSIS methodologies,” Applied Soft Computing, vol. 36, pp. 419–421, 2015.

G. Zheng, N. Zhu, Z. Tian, Y. Chen and B. Sun, “Application of a trapezoidal fuzzy AHP method for work safety evaluation and early warning rating of hot and humid environments,” Safety Science, vol. 50, no. 2, pp. 228–239, 2012.

E. Celik, A. T. Gumus and M. Alegoz, “A trapezoidal type-2 fuzzy MCDM method to identify and evaluate critical success factors for humanitarian relief logistics management,” Journal of Intelligent Fuzzy System, vol. 27, no. 6, pp. 2847–2855, 2014.

S. K. Patil and R. Kant, “A fuzzy AHP-TOPSIS framework for ranking the solutions of Knowledge Management adoption in Supply Chain to overcome its barriers,” Expert System with Applications, vol. 41, no. 2, pp. 679–693, 2014.

A. Awasthi and G. Kannan, “Green supplier development program selection using NGT and VIKOR under fuzzy environment,” Computer and Industry Engineering, vol. 91, pp. 100–108, 2016.

C. Samantra, S. Datta and S. S. Mahapatra, “Application of Fuzzy Based VIKOR Approach for Multi-Attribute Group Decision Making ( MAGDM ): A Case Study in Supplier Selection,” Decision Making in Manufacturing and Services, vol. 6, no. 1, pp. 25–39, 2012.

S. Singh, E. U. Olugu, S. N. Musa, A. B. Mahat and K. Y. Wong, “Strategy selection for sustainable manufacturing with integrated AHP-VIKOR method under interval-valued fuzzy environment,” International Journal of Advanced Manufacturing Technology, vol. 84, no. 1–4, pp. 547–563, 2016.

E. Bulut, O. Duru, T. Keçeci and S. Yoshida, “Use of consistency index, expert prioritization and direct numerical inputs for generic fuzzy-AHP modeling: A process model for shipping asset management,” Expert System with Applications, vol. 39, no. 2, pp. 1911–1923, 2012.

J. Wang, D. Ding, O. Liu and M. Li, “A Synthetic Method for Knowledge Management Performance Evaluation Based on Triangular Fuzzy Number and Group Support Systems,” Applied Soft Computing, vol. 36, pp. 11-20, 2016.

S. Lee and K. Seo, “A Hybrid Multi-Criteria Decision-Making Model for a Cloud Service Selection Problem Using BSC , Fuzzy Delphi Method and Fuzzy AHP,” Wireless Personal Communication, vol. 86, pp. 57-75, 2016.

Z. Song, H. Zhu, G. Jia and C. He, “Comprehensive evaluation on self-ignition risks of coal stockpiles using fuzzy AHP approaches,” Journal of Loss Prevention in the Process Industries, vol. 32, no. 1, pp. 78–94, 2014.

O. Taylan, A. O. Bafail, R. M. S. Abdulaal and M. R. Kabli, “Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies,” Applied Soft Computing, vol. 17, pp. 105–116, 2014.

J. Rezaei, P. B. M. Fahim and L. Tavasszy, “Supplier selection in the airline retail industry using a funnel methodology: Conjunctive screening method and fuzzy AHP,” Expert System with Applications, vol. 41, no. 18, pp. 8165–8179, 2014.

L. Abdullah and L. Najib, “A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process,” Expert System with Applications, vol. 41, no. 7, pp. 3297–3305, 2014.

M. H. F. B. M. Fauadi, S. H. Yahaya and T. Murata, "Intelligent combinatorial auctions of decentralized task assignment for AGV with multiple loading capacity," IEEJ Transaction of Electrical and Electronics Engineering, vol. 8, no. 4, pp. 371–379, 2013.

L. Abdullah and N. Zulkifli, “Integration of fuzzy AHP and interval type-2 fuzzy DEMATEL: An application to human resource management,” Expert System with Applications, vol. 42, no. 9, pp. 4397–4409, 2015.

W. Xiaoqiong, P. Fang, S. Shihuang and F. Jianan, “Trapezoidal fuzzy AHP for the comprehensive evaluation of highway network programming schemes in yangtze river delta,” Fifth World Congress on Intelligence Control and Automation, vol. 6, pp. 5232–5236, 2004.

O. Taylan, A. O. Bafail, R. M. S. Abdulaal and M. R. Kabli, “Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies,” Applied Soft Computing, vol. 17, pp. 105–116, 2014.

S. Avikal, P. K. Mishra and R. Jain, “A Fuzzy AHP and PROMETHEE method-based heuristic for disassembly line balancing problems,” International Journal of Production Research, vol. 52, no. 5, pp. 1306–1317, 2014.

K. Shaw, R. Shankar, S. S. Yadav and L. S. Thakur, “Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain,” Expert System with Applications, vol. 39, no. 9, pp. 8182–8192, 2012.

H. Dincer and U. Hacioglu, “Performance evaluation with fuzzy VIKOR and AHP method based on customer satisfaction in Turkish banking sector,” Kybernetes, vol. 42, no. 7, pp. 1072–1085, 2013.

M. Ashtiani and M. A. Azgomi, “Trust modeling based on a combination of fuzzy analytic hierarchy process and fuzzy VIKOR,” Soft Computing, vol. 20, no. 1, pp. 399–421, 2016.

H.-C. Liu, J.-X. You, X.-Y. You and M.-M. Shan, “A novel approach for failure mode and effects analysis using combination weighting and fuzzy VIKOR method,” Applied Soft Computing, vol. 28, pp. 579–588, 2015.

K. Maity, “Supply Chain Management Under Fuzziness,” Applied Soft Computing, vol. 313, pp. 517–551, 2014.

S. Musani and A. A. Jemain, “Ranking Schools’ Academic Performance Using a Fuzzy VIKOR,” Journal of Physics: Conference Series, vol. 622, pp. 1-10, 2015.

K. Sari, “Selection of RFID solution provider,” Kybernetes, vol. 42, no. 3, pp. 448–465, 2013.

Z. Dong and G. Liang, “The evaluation method of complex product coop-manufacturers: Comprehensive technology,” in 7th International Conference on Intelligence Human-Machine System Cybernetics, 2015, pp. 448–451.

M. Sevkli, S. Zaim, A. Turkyilmaz and M. Satir, “An application of fuzzy TOPSIS method for supplier selection,” in IEEE World Congress on Computer Intelligence, 2010, pp. 37–41.

H. Jung, “A fuzzy AHP-GP approach for integrated production-planning considering manufacturing partners,” Expert System with Applications, vol. 38, no. 5, pp. 5833–5840, 2011.

Z. Taha and S. Rostam, “A hybrid fuzzy AHP-PROMETHEE decision support system for machine tool selection in flexible manufacturing cell,” Journal of Intelligent Manufacturing, vol. 23, no. 6, pp. 2137–2149, 2012.

H. Safari, Z. Faraji and S. Majidian, “Identifying and evaluating enterprise architecture risks using FMEA and fuzzy VIKOR,” Journal of Intelligent Manufacturing, vol. 27, no. 2, pp. 475–486, 2016.

R. M. Rani, W. R. Ismail and S. F. Razali, “Operator performance evaluation using multi criteria decision making methods,” in AIP Conference Proceedings, 2014, pp. 559–566.

A. Z. M. Noor, M. H. F. M. Fauadi, F. A. Jafar and S. F. Zainudin, “Fusion Of Fuzzy AHP in selecting material for drinking water bottle based on customer needs,” ARPN Journal of Engineering and Applied Science, vol. 12, no. 14, pp. 4243–4249, 2017.

S. Singh, E. U. Olugu and A. Fallahpour, “Fuzzy-based sustainable manufacturing assessment model for SMEs,” Clean Technolology Environment Policy, vol. 16, pp. 847-860, 2014.




© Journal of Advanced Manufacturing Technology