Combining grey relation and TOPSIS concepts for selecting an expatriate host country.

*(English)*Zbl 1099.90549Summary: As international corporate activities increase, their staffing involves more strategic concerns. However, foreign assignments have many differences, and dissatisfaction with the host country is a known cause of expatriate failure. From the point of view of an expatriate candidate, the decision of whether to take an expatriate assignment can be regarded as a FMCDM (fuzzy multiple criteria decision making) problem. This paper describes a fuzzy AHP (fuzzy analytic hierarchy process) to determine the weighting of subjective judgments. Using the Sugeno integral for \(\lambda\)-fuzzy measure, and using the nonadditive fuzzy integral technique to evaluate the synthetic utility values of the alternatives and the fuzzy weights, then the best host country alternative can be derived with the grey relation model. The authors further combine the grey relation model based on the concepts of TOPSIS (technique for order preference by similarity to ideal solution) to evaluate and select the best alternative. A real case of expatriate assignment decision-making was used to demonstrate that the grey relation model combined with the ideas of TOPSIS results in a satisfactory and effective evaluation.

##### MSC:

90B50 | Management decision making, including multiple objectives |

93C42 | Fuzzy control/observation systems |

28E99 | Miscellaneous topics in measure theory |

##### Keywords:

Expatriate assignments; Fuzzy analytic hierarchy process; Grey relation model; Nonadditive fuzzy integral; TOPSIS
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\textit{M.-F. Chen} and \textit{G.-H. Tzeng}, Math. Comput. Modelling 40, No. 13, 1473--1490 (2004; Zbl 1099.90549)

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##### References:

[1] | Turban, D.B.; Campion, J.E.; Eyring, A.R., Factors relating to relocation decisions of research and development employees, Journal of vocational behavior, 41, 183-199, (1992) |

[2] | Borstorff, P.C.; Harris, S.G.; Field, H.S.; Giles, W.F., Who’ll go? A review of factors associated with employee willingness to work overseas, Human resource planning, 20, 3, 29-41, (1997) |

[3] | Mendenhall, M.E.; Oddou, G.R., The dimensions of expatriate acculturation: A review, Academy of management review, 10, 1, 39-47, (1985) |

[4] | Hackman, J.R.; Oldham, G.R., Development of the job diagnostic survey, Journal of applied psychology, 60, 159-170, (1975) |

[5] | Bhuian, S.N.; Al-Shammari, E.S.; Jefri, O.A., Organizational commitment, job satisfaction and job characteristics: an empirical study of expatriates in saudi arabia, International journal of commerce & management, 6, 3/4, 57-79, (1996) |

[6] | Birdseye, M.G.; Hill, J.S., Individual, organizational/work and environmental influences on expatriate turnover tendencies: an empirical study, Journal of international business studies, 26, 4, 787-813, (1995) |

[7] | Naumann, E., A conceptual model of expatriate turnover, Journal of international business studies, 23, 3, 499-531, (1992) |

[8] | Naumann, E.; Widmier, S.M.; Donald, W.J., Examining the relationship between work attitudes and propensity to leave among expatriate salespeople, Journal of personal selling & sales management, 20, 4, 227-241, (2000) |

[9] | Hutchison, S.; Sowa, D.; Eisenberger, R.; Huntington, R., Perceived organizational support, Journal of applied psychology, 71, 3, 500-507, (1986) |

[10] | Saaty, T.L., A scaling method for priorities in hierarchical structures, Journal of mathematical psychology, 15, 3, 234-281, (1977) · Zbl 0372.62084 |

[11] | Saaty, T.L., The analytic hierarchy process, (1980), McGraw-Hill New Jersey · Zbl 1176.90315 |

[12] | Buckley, J.J., Fuzzy hierarchical analysis, Fuzzy sets and systems, 17, 3, 233-247, (1985) · Zbl 0602.90002 |

[13] | Zadeh, L.A., Fuzzy sets, Information and control, 8, 2, 338-353, (1965) · Zbl 0139.24606 |

[14] | Bellman, R.E.; Zadeh, L.A., Decision making in a fuzzy environment, Management science, 17, 4, 141-164, (1970) · Zbl 0224.90032 |

[15] | Dubois, D.; Prade, H., Operations on fuzzy numbers, International journal of systems science, 9, 3, 613-626, (1978) · Zbl 0383.94045 |

[16] | Zadeh, L.A., The concept of a linguistic variable and its application to approximate reasoning, part 1, Information sciences, 8, 2, 199-249, (1975) · Zbl 0397.68071 |

[17] | Zadeh, L.A., The concept of a linguistic variable and its application to approximate reasoning, part 2, Information sciences, 8, 3, 301-357, (1975) · Zbl 0404.68074 |

[18] | Zadeh, L.A., The concept of a linguistic variable and its application to approximate reasoning, part 3, Information sciences, 9, 1, 43-80, (1975) · Zbl 0404.68075 |

[19] | Sugeno, M., Theory of fuzzy integrals and its applications, () · Zbl 0316.60005 |

[20] | Dubois, D.; Prade, H., Fuzzy sets and systems, (1980), Academic Press Japan |

[21] | Grabisch, M., Fuzzy integral in multicriteria decision making, Fuzzy sets and systems, 69, 3, 279-298, (1995) · Zbl 0845.90001 |

[22] | Hougaard, J.L.; Keiding, H., Representation of preferences on fuzzy measures by a fuzzy integral, Mathematical social sciences, 31, 1, 1-17, (1996) · Zbl 0918.90016 |

[23] | Zadeh, L.A., Fuzzy sets as a basis for a theory of possibility, Fuzzy sets systems, 1, 1, 3-28, (1978) · Zbl 0377.04002 |

[24] | Keeney, R.L.; Raiffa, H., Decisions with multiple objectives: preferences and value tradeoffs, (1976), John Wiley and Sons New York · Zbl 0488.90001 |

[25] | Ralescu, D.A.; Adams, G., Fuzzy integral, Journal of mathematical analysis and applications, 75, 2, 562-570, (1980) · Zbl 0438.28007 |

[26] | Chen, Y.W.; Tzeng, G.H., Using fuzzy integral for evaluating subjectively perceived travel costs in a traffic assignment model, European journal of operational research, 130, 3, 653-664, (2001) · Zbl 0982.90005 |

[27] | Chen, T.Y.; Wang, J.C.; Tzeng, G.H., Identification of general fuzzy measures by genetic algorithms based on partial information, IEEE transactions on systems, man, and cybernetics part B: cybernetics, 30 B, 4, 517-528, (2000) |

[28] | Ishii, K.; Sugeno, M., A model of human evaluation process using fuzzy measure, International journal of man-machine studies, 22, 1, 19-38, (1985) · Zbl 0567.90059 |

[29] | Deng, J., Control problems of grey systems, Systems and control letters, 5, 2, 288-294, (1982) · Zbl 0482.93003 |

[30] | Deng, J., Grey system fundamental method, (1985), Huazhong University of Science and Technology New York |

[31] | Deng, J., Grey system book, (1988), Science and Technology Information Services Wuhan, China |

[32] | Deng, J., Introduction to grey theory system, The journal of grey system, 1, 1, 1-24, (1989) · Zbl 0701.90057 |

[33] | Tzeng, G.H.; Tasur, S.H., The multiple criteria evaluation of grey relation model, The journal of grey system, 6, 2, 87-108, (1994) |

[34] | Deng, J., Grey information space, The journal of grey system, 1, 1, 103-117, (1989) · Zbl 0722.94003 |

[35] | Hwang, C.L.; Yoon, K., Multiple attribute decision making, (1981), Springer-Verlag Windsor |

[36] | Zhao, R.; Govind, R., Algebraic characteristics of extended fuzzy numbers, Information science, 54, 1, 103-130, (1991) · Zbl 0774.26015 |

[37] | Tsaur, S.H.; Tzeng, G.H.; Wang, G.C., The application of AHP and fuzzy MCDM on the evaluation study of tourist risk, Annals of tourism research, 24, 4, 796-812, (1997) |

[38] | Tang, M.T.; Tzeng, G.H.; Wang, S.-W., A hierarchy fuzzy MCDM method for studying electronic marketing strategies in the information service industry, Journal of international information management, 8, 1, 1-22, (1999) |

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.