##
**Fuzzy multi-attribute selection among transportation companies using axiomatic design and analytic hierarchy process.**
*(English)*
Zbl 1074.90507

Summary: The basic concept in axiomatic design (AD) is the existence of design axioms. First of these axioms is the independence axiom and the second one is the information axiom. The information axiom proposes the selection of the best alternative that has minimum information. Analytic hierarchy process (AHP) is another multi-attribute method which is a decision-making method for selecting the best among a set of alternatives, given some criteria. The method has been extensively applied, especially in large-scale problems where many criteria must be considered and where the evaluation of alternatives is mostly subjective. Multi-attribute transportation company selection is a very important activity for an effective supply chain. The selection of the best company under determined criteria (such as cost, time, damage/loss, flexibility and documentation ability) using both multi-attribute AD and AHP will be realized in this study. The fuzzy multi-attribute AD approach is also developed and it is compared by one of fuzzy AHP methods in the literature. The selection process has been accomplished by aiding a software that includes crisp AD and fuzzy AD.

PDF
BibTeX
XML
Cite

\textit{O. Kulak} and \textit{C. Kahraman}, Inf. Sci. 170, No. 2--4, 191--210 (2005; Zbl 1074.90507)

Full Text:
DOI

### References:

[1] | Avineri, E.; Prashker, J.; Ceder, A., Transportation projects selection process using fuzzy sets theory, Fuzzy sets and systems, 116, 35-47, (2000) |

[2] | Babic, B., Axiomatic design of flexible manufacturing systems, International journal of production research, 37, 5, 1159-1173, (1999) · Zbl 0951.90530 |

[3] | Bozdağ, C.E.; Kahraman, C.; Ruan, D., Fuzzy group decision making for selection among computer integrated manufacturing systems, Computers in industry, 51, 1, 13-29, (2003) |

[4] | Buckley, J.J., Fuzzy hierarchical analysis, Fuzzy sets and systems, 17, 233-247, (1985) · Zbl 0602.90002 |

[5] | Chanas, S.; Kuchta, D., Fuzzy integer transportation problem, Fuzzy sets and systems, 98, 291-298, (1998) |

[6] | Chang, D.-Y., Applications of the extent analysis method on fuzzy AHP, European journal of operational research, 95, 649-655, (1996) · Zbl 0926.91008 |

[7] | Chang, D.-Y., Extent analysis and synthetic decision, optimization techniques and applications, vol. 1, (1992), World Scientific Singapore, p. 352 |

[8] | Cheng, C.-H.; Yang, K.-L.; Hwang, C.-L., Evaluating attack helicopters by AHP based on linguistic variable weight, European journal of operational research, 116, 2, 423-443, (1999) · Zbl 1009.90515 |

[9] | Ching-Hsue, C., Evaluating naval tactical missile systems by fuzzy AHP based on the grade value of membership function, European journal of operational research, 96, 2, 343-350, (1997) · Zbl 0924.90096 |

[10] | Kahraman, C.; Cebeci, U.; Ruan, D., Multi-attribute comparison of catering service companies using fuzzy AHP: the case of Turkey, International journal of production economics, 87, 171-184, (2004) |

[11] | Kahraman, C.; Ruan, D.; Dogan, İ., Fuzzy group decision making for facility location selection, Information sciences, 157, 135-153, (2003) · Zbl 1049.90038 |

[12] | Kikuchi, S., A method to defuzzify the fuzzy number: transportation problem application, Fuzzy sets and systems, 116, 3-9, (2000) · Zbl 0979.90020 |

[13] | Kim, S.J.; Suh, N.P.; Kim, S., Design of software systems based on AD, Robotics & computer-integrated manufacturing, 8, 4, 243-255, (1991) |

[14] | Laarhoven, P.J.M.; Pedrycz, W., A fuzzy extension of Saaty’s priority theory, Fuzzy sets and systems, 11, 229-241, (1983) · Zbl 0528.90054 |

[15] | Li, L.; Lai, K.K., A fuzzy approach to multiobjective transportation problem, Computers & operations research, 27, 43-57, (2000) · Zbl 0973.90010 |

[16] | S.-T. Liu, C. Kao, Solving fuzzy transportation problems based on extension principle, European Journal of Operational Research, forthcoming · Zbl 1099.90507 |

[17] | Saaty, T.L., The analytic hierarchy process, (1980), McGraw-Hill Book Company New York · Zbl 1176.90315 |

[18] | Sakawa, M.; Nishizaki, I.; Uemura, Y., Case study: fuzzy programming and profit and cost allocation for a production and transportation problem, European journal of operational research, 131, 1-15, (2001) · Zbl 0979.90126 |

[19] | Sakawa, M.; Nishizaki, I.; Uemura, Y., A decentralized two-level transportation problem in a housing material manufacturer: interactive fuzzy programming approach, European journal of operational research, 141, 167-185, (2002) · Zbl 0998.90091 |

[20] | Shih, L.-H., Cement transportation planning via fuzzy linear programming, International journal of production economics, 58, 277-287, (1999) |

[21] | Stam, A.; Minghe, S.; Haines, M., Artificial neural network representations for hierarchical preference structures, Computers & operations research, 23, 12, 1191-1201, (1996) · Zbl 0876.90007 |

[22] | Suh, N.P., The principles of design, (1990), Oxford University Press New York |

[23] | Suh, N.P., Designing-in of quality through axiomatic design, IEEE transactions on reliability, 44, 2, 256-264, (1995) |

[24] | Suh, N.P., Design of systems, Annals of the CIRP, 46, 1, 75-80, (1997) |

[25] | Suh, N.P.; Cochran, D.S.; Paulo, C.L., Manufacturing system design, Annals of the CIRP, 47, 2, 627-639, (1998) |

[26] | Suh, N.P., Axiomatic design: advances and applications, (2001), Oxford University Press New York |

[27] | Teng, J.-Y.; Tzeng, G.-H., Transportation investment project selection using fuzzy multiobjective programming, Fuzzy sets and systems, 96, 259-280, (1998) |

[28] | Verma, R.; Biswal, M.P.; Biswas, A., Fuzzy programming technique to solve multi-objective transportation problems with some non-linear membership functions, Fuzzy sets and systems, 91, 37-43, (1997) · Zbl 0917.90287 |

[29] | Zadeh, L., Fuzzy sets, Information control, 8, 338-353, (1965) · Zbl 0139.24606 |

[30] | Zhu, K.-J.; Jing, Y.; Chang, D.-Y., A discussion on extent analysis method and applications of fuzzy AHP, European journal of operational research, 116, 450-456, (1999) · Zbl 1009.90514 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.