An assignment method for group decision making with uncertain preference ordinals

Tianhui You , Zhiping Fan , Zhuchao Yu

Journal of Systems Science and Systems Engineering ›› 2012, Vol. 21 ›› Issue (2) : 174 -183.

PDF
Journal of Systems Science and Systems Engineering ›› 2012, Vol. 21 ›› Issue (2) : 174 -183. DOI: 10.1007/s11518-011-5185-7
Article

An assignment method for group decision making with uncertain preference ordinals

Author information +
History +
PDF

Abstract

This paper presents an assignment method to solve the group decision making problem with uncertain preference information. The uncertain preference information is given as uncertain preference ordinals by decision makers. We first address the concept and calculation formulae of preference ordinal frequency, and then, uncertain preference ordinals are transformed into preference ordinal frequencies accordingly. Furthermore, a linear assignment model is built based on the derived preference ordinal frequencies, and the ranking of alternatives can be obtained by solving the model. Finally, a numerical example is used to illustrate the use of the proposed method.

Keywords

Group decision making (GDM) / uncertain preference ordinal / preference ordinal frequency / linear assignment model / ranking of alternatives

Cite this article

Download citation ▾
Tianhui You, Zhiping Fan, Zhuchao Yu. An assignment method for group decision making with uncertain preference ordinals. Journal of Systems Science and Systems Engineering, 2012, 21(2): 174-183 DOI:10.1007/s11518-011-5185-7

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Bozdağ C.E., Kahraman C., Ruan D.. Fuzzy group decision making for selection among computer integrated manufacturing systems. Computers in Industry, 2003, 51(1): 13-29.

[2]

Boran F.E., Genç S., Kurt M., Akay D.. A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications, 2009, 36(8): 11363-11368.

[3]

Bordogna G., Fedrizzi M., Pasi G.. A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 1997, 27(1): 126-133.

[4]

Chiclana F., Herrera F., Herrera-Viedma E.. Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems, 1998, 97(1): 33-48.

[5]

Chou S.Y., Chang Y.H., Shen C.Y.. A fuzzy simple additive weighting system under group decision-making for facility location selection with objective /subjective attributes. European Journal of Operational Research, 2008, 189(1): 132-145.

[6]

Chuu S.J.. Selecting the advanced manufacturing technology using fuzzy multiple attributes group decision making with multiple fuzzy information. Computers & Industrial Engineering, 2009, 57(3): 1033-1042.

[7]

Cook W.D., Kress M.. Ordinal Information and Preference Structures: Decision Models and Applications, 1992, Prentice-Hall, New Jersey: Englewood Cliffs

[8]

Cook W.D.. Distance-based and ad hoc consensus models in ordinal preference ranking. European Journal of Operational Research, 2006, 172(2): 369-385.

[9]

Delgado M., Herrera F., Herrera-Viedma E., Martínez L.. Combining numerical and linguistic information in group decision making. Information Sciences, 1998, 107(1–4): 177-194.

[10]

Fan Z.P., Liu Y., Sun Y.H.. An approach to solve multi-objective assignment problems with ordinal interval ranking information. Industrial Engineering and Management, 2008, 13(3): 42-45.

[11]

Fan Z.P., Liu Y.. An approach to solve group-decision-making problems with ordinal interval numbers. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2010, 40(5): 1413-1423.

[12]

Fan Z.P., Yue Q., Feng B., Liu Y.. An approach to group decision-making with uncertain preference ordinals. Computers & Industrial Engineering, 2010, 58(1): 51-57.

[13]

González-Pachón J., Romero C.. Distance-based consensus methods: a goal programming approach. OMEGA, 1999, 27(3): 341-347.

[14]

González-Pachón J., Romero C.. Aggregation of partial ordinal rankings: an interval goal programming approach. Computers & Operations Research, 2001, 28(8): 827-834.

[15]

González-Pachón J., Rodríguez-Galiano M.I., Romero C.. Transitive approximation to pairwise comparison matrices by using interval goal programming. Journal of Operational Research Society, 2003, 54(5): 532-538.

[16]

Herrera F., Herrera-Viedma E., Verdegay J.L.. A sequential selection process in group decision making with a linguistic assessment approach. Information Sciences, 1995, 85(4): 223-239.

[17]

Herrera F., Herrera-Viedma E., Chiclana F.. Multi-person decision-making based on multiplicative preference relations. European Journal of Operational Research, 2001, 129(2): 372-385.

[18]

Hwang C.L., Lin M.J.. Group Decision Making under Multiple Criteria: Methods and Applications, 1987, Berlin: Springer-Verlag.

[19]

Li D.F.. Two new methods for multiattribute decision makings with information partially known. Journal of Systems Science and Systems Engineering, 1998, 7(1): 70-74.

[20]

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

[21]

Sanayei A., Farid Mousavi S., Abdi M.R., Mohaghar A.. An integrated group decision-making process for supplier selection and order allocation using multi-attribute utility theory and linear programming. Journal of the Franklin Institute, 2008, 345(7): 731-747.

[22]

Sengupta A., Pal T.K.. On comparing interval numbers. European Journal of Operational Research, 2000, 127(1): 28-43.

[23]

Wang Y.M., Fan Z.P.. Fuzzy preference relations: Aggregation and weight determination. Computers & Industrial Engineering, 2007, 53(1): 163-172.

[24]

Wu J., Li J.C., Li H., Duan W.Q.. The induced continuous ordered weighted geometric operators and their application in group decision making. Computers & Industrial Engineering, 2009, 56(4): 1545-1552.

[25]

Xu Z.S.. Two methods for deriving members’ weights in group decision making. Journal of Systems Science and Systems Engineering, 2001, 10(1): 15-19.

[26]

Yager R.R., Detyniecki M., Bouchon-Meunier B.. A context-dependent method for ordering fuzzy numbers using probabilities. Information Sciences, 2001, 138(1–4): 237-255.

[27]

You T.H., Fan Z.P., Yu Z.C.. A method for group decision making with preference information in ordinal interval form. Journal of Northeastern University (Natural Science), 2007, 28(2): 286-288.

AI Summary AI Mindmap
PDF

113

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/