Abstract
Application of fuzzy-analytic hierarchical process (fuzzy-AHP) has been growing continuously to select the best alternative. In the fuzzy-AHP approach, first the complex problem is itemized into a hierarchical structure for pairwise comparisons. Once a comparison matrix is formed, a triangular fuzzy number concept is adopted to assign priority weights with a view to capture the inherent vagueness in linguistic terms of the decision-maker. In evaluation, if two triangular fuzzy numbers are not intersecting \(({ t}_{11}- { t}_{23}\ge ~0)\), then corresponding degree of possibility value is assumed to be zero (0). However, such situation simply represents the case of one criterion being immensely stronger than other and should not receive a zero value. In this regard, the article proposes an enhanced fuzzy-AHP approach where the triangles are extended about x-axis. This allows developing a mathematical formulation to estimate the true values of height of ordinate (degree of possibility). The empirical study of ranking the SECI modes in the order they influence the performance of the detailed design phase is considered to demonstrate the applicability and usefulness of the proposed framework. In order to measure the performance, five criteria are selected based on a rigorous literature review. After stringent experimentation, it is found that combination and externalization modes highly influence but other modes in order of internalization and socialization loosely have an effect on underlying phase.
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References
Barker TJ, Zabinsky ZB (2011) A multi-criteria decision making model for reverse logistics using analytical hierarchy process. Omega Int J Manag Sci 39(5):558–573
Borade AB, Kannan G, Bansod SV (2013) Analytical hierarchy process-based framework for VMI adoption. Int J Prod Res 51(4):963–978
Chan FTS (2003) Interactive selection model for supplier selection process: an analytical hierarchy process approach. Int J Prod Res 41(15):3549–3579
Chan FTS, Kumar N (2007) Global supplier development considering risk factors using fuzzy extended AHP-based approach. Omega 35:417–431
Chan FTS, Kumar N, Tiwari MK, Lau HCW, Choy KL (2008) Global supplier selection: a fuzzy-AHP approach. Int J Prod Res 46(14):3825–3857
Chang DY (1992) Extent analysis and synthetic decision. Optimization techniques and applications. World scientific, Singapore
Chang DY (1996) Applications of the extent analysis method on fuzzy AHP. Eur J Oper Res 95:649–655
Chakraborty S, Banik D (2006) Design of a material handling equipment selection model using analytic hierarchy process. Int J Adv Manuf Technol 28(11–12):1237–1245
Cheng CH, Yang KL, Hwang CL (1999) Evaluating attack helicopters by AHP based on linguistic variable weight. Eur J Oper Res 116(2):423–443
Cheng EL, Li H (2001) Information priority setting for better resource allocation using analytic hierarchy process (AHP). Inf Manag Comput Secur 9(2):61–70
Dragović I, Turajlić N, Radojević D, Petrović B (2014) Combining boolean consistent fuzzy logic and AHP illustrated on the web service selection problem. Int J Comput Intell Syst 7(1):84–93
Ghodsypour SH, O’brien C (1998) A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming. Int J Prod Econ 56–57:119–212
Kahraman C, Beskese A, Kaya I (2010) Selection among ERP outsourcing alternatives using a fuzzy multi-criteria decision making methodology. Int J Prod Res 48(2):547–566
Kwong CK, Bai H (2003) Determining the importance weights for the customer requirements in QFD using a fuzzy AHP with an extent analysis approach. IIE Trans. 35(7):619–626
Lee WB, Lau H, Liu ZZ, Tam S (2001) A fuzzy analytic hierarchy process approach in modular product design. Expert Syst 18(1):32–42
Morgan J, Liker J (2006) The Toyota product development system: integrating people, process, and technology. Productivity Press, New York
Özler C, KocakoÇ ID, ŞehirlioĢlu AK (2008) Using analytic hierarchy process to determine process economics in multivariate loss functions. International Journal of Production Research 46(4):1121–1135
Rapp WV (2000) Automobiles: Toyota Motor Corporation-Gaining and Sustaining Long-term Advantage Through Information Technology. Working Paper Center on Japanese Economy and Business for Columbia Sloan Foundation Project, NY
Saaty TL (1980) The analytic hierarchy process. McGraw-Hill Book Co., New York
Sarfaraz A, Jenab K, D’Souza AC (2012) Evaluating ERP implementation choices on the basis of customisation using fuzzy AHP. Int J Prod Res 50(23):7057–7067
Singh RK, Khilwani N, Tiwari MK (2007) Justification for the selection of a reconfigurable manufacturing system: a fuzzy analytical hierarchy based approach. Int J Prod Res 45(14):3165–3190
Tabucanon MT, Batanov DN, Verma DK (1994) Intelligent decision support system (DSS) for the selection process of alternative machines for flexible manufacturing systems (FMS). Comput Ind 25:131–143
Tyagi SK, Ghorpade A, Karunakaran KP, Tiwari MK (2007) Optimal part orientation in layered manufacturing using evolutionary stickers-based DNA algorithm. Virtual Phys Prototyp 2(1):3–19
Tyagi SK, Yang K, Tyagi A, Verma A (2012) A fuzzy goal programming approach for optimal product family design of mobile phones and multiple-platform architecture. IEEE Trans Syst Man Cybern Part C Appl Rev 42(6):1519–1530
Tyagi SK, Yang K, Verma A (2013) Non-discrete ant colony optimisation (NdACO) to optimise the development cycle time and cost in overlapped product development. Int J Prod Res 51(2):346–361
Vadde S, Zeid A, Kamarthi SV (2011) Pricing decisions in a multi-criteria setting for product recovery facilities. Omega Int J Manag Sci 39(2):186–193
Van laarhoven PJM, Pedrycz W (1983) A fuzzy extension of Saaty’s priority theory. Fuzzy Sets Syst 11:229–241
Wang G, Huang SH, Dismukesa JP (2004) Product-driven supply chain selection using integrated multi-criteria decision-making methodology. Int J Prod Econ 91(1):1–15
Wang YM, Elhag TMS, Hua ZS (2006) A modified fuzzy logarithmic least squares method for fuzzy analytic hierarchy process. Fuzzy Sets Syst 157:3055–3071
Yan LJ, Li ZB, Xi WK, Yuan XY (2012) Group-based product scheme-screening decision method based on fuzzy AHP and evidential reasoning theory. Int J Prod Res 50(1):133–159
Yurdakul M (2004) AHP as a strategic decision-making tool to justify machine tool selection. J Mater Process Technol 146(3):365–376
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Zhu KJ, Jing Y, Chang DY (1999) A discussion on Extent Analysis Method and application of fuzzy AHP. Eur J Oper Res 116:450–456
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Tyagi, S., Chambers, T. & Yang, K. Enhanced fuzzy-analytic hierarchy process. Soft Comput 22, 4431–4443 (2018). https://doi.org/10.1007/s00500-017-2639-y
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DOI: https://doi.org/10.1007/s00500-017-2639-y