Comparative Study on Weighting Customer Requirements using Fuzzy Analysis Hierarchy Process with Extent Analysis and Analytic Hierarchy Process

  • M.T. Mastura
  • S.M. Sapuan
  • M.R. Mansor
  • A.A. Nuraini


Weighting customer requirement is not an easy task to undertake since it involves subjective human perception and judgement. In this study, both Analytic Hierarchy Process (AHP) and Fuzzy AHP with extent analysis (FAHP) methods were applied to determine and to compare the differences on the weight of customer requirements. Customer requirements for automotive anti-roll bar (ARB) were taken as a case study from related literature. The results from both methods showed slight differences in weighting customer requirements with an average of differences is 0.73%. Thus, the FAHP method could be applied in decision-making to find the weight of attributes whilst the AHP could also be applied in decision-making to deal with vague and imprecise information.


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C.Y. Chen, L.C. Chen and L. Lin, “Methods for processing and prioritizing customer demands in variant product design,” IIE Transactions, vol. 36, no. 3, pp. 203–219, 2004.

Y. E. Nahm, H. Ishikawa and M. Inoue, “New rating methods to prioritize customer requirements in QFD with incomplete customer preferences,” International Journal of Advanced Manufacturing Technology, vol. 65, no. 9-12, pp. 1587–1604, 2013.

L. C. Chen and P. Y. Chu, “Developing the index for product design communication and evaluation from emotional perspectives,” Expert Systems with Applications, vol. 39, no. 2, pp. 2011–2020, 2012.

Z. Iqbal, N. Peter Grigg, K. Govindaraju and N. M. Campbell-Allen, “Enhancing prioritisation of technical attributes in quality function deployment,” Inernational Journal of Productivity and Performance Management, vol. 64, no. 3, pp. 398–415, 2014.

T. L. Saaty, The Analytic Hierarchy Process. New York: McGraw-Hill, 1980.

O. S. Vaidya and S. Kumar, “Analytic hierarchy process: An overview of applications,” European Journal of Operational Research, vol. 169, no. 1, pp. 1–29, 2006.

A. Hambali, S. M. Sapuan, N. Ismail and Y. Nukman, “Application of Analytical Hierarchy Process (AHP) and Sensitivity Analysis for Selecting the Best Design Concepts during Conceptual Design Stage,” Multidiscipline Modeling in Materials and Structures, vol. 5, no. 3, pp. 289–294, 2009.

A. Hambali, S. M. Sapuan, A. S. Rahim, N. Ismail and Y. Nukman, “Concurrent Decisions on Design Concept and Material Using Analytical Hierarchy Process at the Conceptual Design Stage,” Concurrent Engineering, vol. 19, no. 2, pp. 111–121, 2011.

M. R. Mansor, S. M. Sapuan, E. S. Zainudin, A. A. Nuraini and A. Hambali, “Conceptual design of kenaf fiber polymer composite automotive parking brake lever using integrated TRIZ–Morphological Chart–Analytic Hierarchy Process method,” Materials & Design, vol. 54, pp. 473–482, 2014.

S. M. Sapuan, J. Y. Kho, E. S. Zainudin, Z. Leman, B. A. Ahmed Ali, and A. Hambali, “Materials selection for natural fiber reinforced polymer composites using analytical hierarchy process,” Indian Journal of Engineering and Materials Sciences, vol. 18, pp. 255–267, 2011.

A. Jahan, F. Mustapha, S. M. Sapuan, M. Y. Ismail and M. Bahraminasab, “A framework for weighting of criteria in ranking stage of material selection process,” International Journal of Advanced Manufacturing Technology, vol. 58, no. 1-4, pp. 411–420, 2012.

S. Desai, B. Bidanda and M. R. Lovell, “Material and process selection in product design using decision-making technique (AHP),” European Journal of Industrial Engineering, vol. 6, no. 3. p. 322, 2012.

M. R. Mansor, A. Hambali, M. D. Azaman, S. M. Sapuan, E. S. Zainudin and A. A. Nuraini, “Material Selection of Thermoplastic Matrix for Hybrid Natural Fiber/Glass Fiber Polymer Composites Using Analytic Hierarchy Process Method,” in Proceedings of the International Symposium on the Analytic Hierarchy Process, Kuala Lumpur, 2013, pp.1-8.

S. R. Gangurde and M. M. Akarte, “Customer preference oriented product design using AHP-modified TOPSIS approach,” Benchmarking: An International Journal, vol. 20, no. 4, pp. 549–564, 2013.

X. Li, W. Zhao, Y. Zheng, R. Wang and C. Wang, “Innovative Product Design Based on Comprehensive Customer Requirements of Different Cognitive Levels,” The Scientific World Journal, vol. 2014, pp. 1-11, 2014.

D. Dalalah, F. Al-oqla and M. Hayajneh, “Application of the Analytic Hierarchy Process ( AHP ) in Multi- Criteria Analysis of the Selection of Cranes,” Jordan Journal of Mechanical and Industrial Engineering, vol. 4, no. 5, pp. 567–578, 2010.

W. Ho, “Integrated analytic hierarchy process and its applications - A literature review,” European Journal of Operational Research, vol. 186, no. 1, pp. 211–228, 2008.

P. J. M. van Laarhoven and W. Pedrycz, “A fuzzy extension of Saaty’s priority theory,” Fuzzy Sets and Systems, vol. 11, no. 1-3, pp. 199–227, 1983.

K.J. Zhu, Y. Jing and D.Y. Chang, “A discussion on Extent Analysis Method and applications of fuzzy AHP,” European Journal of Operational Research, vol. 116, pp. 450–456, 1999.

L. C. Leung and D. Cao, “On consistency and ranking of alternatives in fuzzy AHP,” European Journal of Operational Research, vol. 124, no. 1, pp. 102–113, 2000.

T.C. Wang and Y.H. Chen, “Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP,” Information Sciences, vol. 178, no. 19, pp. 3755–3765, 2008.

D.Y. Chang, “Applications of the extent analysis method on fuzzy AHP,” European Journal of Operational Research, vol. 95, no. 3, pp. 649–655, 1996.

C. K. Kwong and H. Bai, “Determining the Importance Weights for the Customer Requirements in QFD Using a Fuzzy AHP with an Extent Analysis Approach,” IIE Transactions, vol. 35, pp. 619–626, 2003.

Y.M. Wang and T. M. S. Elhag, “On the normalization of interval and fuzzy weights,” Fuzzy Sets and Systems, vol. 157, no. 18, pp. 2456–2471, 2006.

Y.M. Wang, Y. Luo and Z. Hua, “On the extent analysis method for fuzzy AHP and its applications,” European Journal of Operational Research, vol. 186, no. 2, pp. 735–747, 2008.

K. Zhü, “Fuzzy analytic hierarchy process: Fallacy of the popular methods,” European Journal of Operational Research, vol. 236, no. 1, pp. 209–217,2014.

T. L. Saaty, “There is no mathematical validity for using fuzzy number crunching in the analytic hierarchy process,” Journal of Systems Science and Systems Engineering, vol. 15, no. 4, pp. 457–464, 2006.

T. L. Saaty and L. T. Tran, “On the invalidity of fuzzifying numerical judgments in the Analytic Hierarchy Process,” Mathematical and Computer Modelling, vol. 46, no. 7–8, pp. 962–975, 2007.

T. L. Saaty and L. T. Tran, “Fuzzy Judgments and Fuzzy Sets,” International Journal of Strategic Decision Sciences, vol. 1, no. 1, pp. 23–40, 2010.

A. Ishizaka, “Comparison of Fuzzy logic, AHP, FAHP and Hybrid Fuzzy AHP for New Supplier Selection and Its Performance Analysis,” International Journal of Integrated Supply Management, vol. 9, no. 1991, pp. 1–22, 2014

G. Kabir and M. H. Akhtar Hasin, “Comparative Analysis of Ahp and Fuzzy AHP Models For Multi-criteria Inventory Classification,” International Journal of Fuzzy Logic Systems, vol. 1, no. 1, pp. 1–16, 2011.

H. Bayrakceken, S. Tasgetiren and K. Aslantas, “Fracture of an automobile anti-roll bar,” Engineering Failure Analysis, vol. 13, no. 5, pp. 732–738, 2006.

I. Bereketli and M. Erol Genevois, “An integrated QFDE approach for identifying improvement strategies in sustainable product development,” Journal of Cleaner Production, vol. 54, pp. 188–198, 2013.

M. K. Roy, A. Ray and B. B. Pradhan, “Non-traditional machining process selection using integrated fuzzy AHP and QFD techniques : a customer perspective,” Production & Manufacturing Research, vol. 2, no. 1, pp. 530–549, 2014.

T.S. Liou and M. J. J. Wang, “Ranking fuzzy numbers with integral value,” Fuzzy Sets and Systems, vol. 50, no. 3, pp. 247–255, 1992.

H. Raharjo and D. Endah, “Evaluating Relationship of Consistency Ratio and Number of Alternatives on Rank Reversal in the AHP,” Quality Engineering, vol. 18, pp. 39–46, 2006.

P. Bharane, K. Tanpure, A. Patil and G. Kerkal, “Design, Analysis and Optimization of Anti-Roll Bar,” International Journal of Engineering Research and Applications, vol. 4, no. 9, pp. 137–140, 2014.

M. Doody, “Design and Development of a Composite Automotive Anti-Roll Bar,” M.S. thesis, Department of Mechanical, Automotive & Materials Engineering, University of Windsor, Ontario, Canada, 2013.

P. Laxminarayan Sidram Kanna, P. S.V. Tare, and P. A.M. Kalje, “Feasibility of hallow stability bar,” IOSR Journal of Mechanical and Civil Engineering, vol. 2014, pp. 76–80, 2014.

Y. Prawoto, J. R. P. Djuansjah, K. B. Tawi, and M. M. Fanone, “Tailoring microstructures: A technical note on an eco-friendly approach to weight reduction through heat treatment,” Materials & Design, vol. 50, pp. 635–645, 2013.

K. Sharma, P. M. Bora, and P. K. Sharma, “Hollow Cross-Section vs. Solid Cross-Section & Increasing the Diameter of Solid Cross-Section by using finite element Analysis of Anti-Roll Bar,” International Journal of Advanced Research in Science and Engineering, vol. 1, no. 1, pp. 1–11, 2012.

A.-M. Wittek, H.-C. Richter, and B. Lazarz, “Stabilizer Bars : Part 2 . Calculations-Example,” Transport Problems, vol. 6, no. 1, pp. 137–145, 2011.

A.-M. Wittek, H.-C. Richter, and B. Lazarz, “Stabilizer Bars : Part 1. Calculations and Construction,” Transport Problems, vol. 5, no. 4, pp. 135–143, 2010.

P. Shinde and M. M. M. Patnaik, “Parametric Optimization to Reduce Stress Concentration at Corner Bends of Solid and Hollow Stabilizer Bar,” International Journal of Research in Aeronautical and Mechanical Engineering, vol. 1, no. 4, pp. 1–15, 2013.

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, “Fuzzy Analytic Hierarchy Process (FAHP) Integration for Decision Making Puposes: A Review,” Journal of Advanced Manufacturing Technology, vol. 11, no. 2, pp. 139–154, 2017.

How to Cite
Mastura, M., Sapuan, S., Mansor, M., & Nuraini, A. (1). Comparative Study on Weighting Customer Requirements using Fuzzy Analysis Hierarchy Process with Extent Analysis and Analytic Hierarchy Process. Journal of Advanced Manufacturing Technology (JAMT), 12(1(1), 477-490. Retrieved from

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