Group Decision Making Method Based on Composite Linguistic Expressions

Article Preview

Abstract:

When decision makers are hesitant among different linguistic terms, the traditional use of one single linguistic term will restrict the accuracy of personal preference expressed by experts, it is necessary to use composite linguistic term which contains both the one single linguistic terms and the comparative linguistic expressions. Firstly, with the use of context-free grammars, two-tuple linguistic representation model and hesitant fuzzy linguistic term sets, the linguistic expressions of the preference relations provided by experts are transformed into judgment matrix, then the suitable aggregation operators will be selected to obtain a best solution to the problem. Finally, a new group decision making model based on composite linguistic expressions has been proposed and a practical example has been analyzed to verify the reasonability and feasibility of the approach.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 1049-1050)

Pages:

1281-1286

Citation:

Online since:

October 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Yang Lei. Theory and Application of Group Decision Making. Beijing: Economic Science Press(2004).

Google Scholar

[2] Gong Zaiwu, Guo Chonglan, and He Yuanyuan, Group decision making methods of the incomplete IFPRs and IPRs. International Journal of Computational Intelligence Systems, 5(3): 542–552 (2012).

DOI: 10.1080/18756891.2012.696919

Google Scholar

[3] J. Ma, D. Ruan, Y. Xu, and G. Zhang, A fuzzy-set approach to treat determinacy and consistency of linguistic terms in multi-criteria decision making. International Journal of Approximate Reasoning, 44(2): 165–181(2006).

DOI: 10.1016/j.ijar.2006.07.007

Google Scholar

[4] Tang Yongchuan , and Zheng Jiacheng, Linguistic modelling based on semantic similarity relation among linguistic labels. Fuzzy Sets and Systems, 157(12): 1662–1673(2006).

DOI: 10.1016/j.fss.2006.02.014

Google Scholar

[5] Jin Hsien Wang , and Jongyun Hao, A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 14(3): 435–445(2006).

DOI: 10.1109/tfuzz.2006.876337

Google Scholar

[6] Rosa M. Rodriguez , and Luis Martínez , Francisco Herrera. Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems , 20(1): 109–119(2012).

DOI: 10.1109/tfuzz.2011.2170076

Google Scholar

[7] F. Herrera, and L. Martínez. A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems , 8 (6) : 746–752(2000).

DOI: 10.1109/91.890332

Google Scholar

[8] Hwang C L, and Lin M J, Group Decision Making under Multiple Critria: Method and Application. Berlin: Spring-Verlag, (2006).

Google Scholar

[9] G. Bordogna, G. Pasi, A fuzzy linguistic approach generalizing boolean information retrieval: a model and its evaluation, Journal of the American Society for Information Science , 44 : 70–82(1993).

DOI: 10.1002/(sici)1097-4571(199303)44:2<70::aid-asi2>3.0.co;2-i

Google Scholar

[10] F. Herrera, and L. Martínez, A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems 8 (6) : 746–752(2000).

DOI: 10.1109/91.890332

Google Scholar

[11] Y.M. Wang, J.B. Yang, and D.L. Xu, A preference aggregation method through the estimation of utility intervals. Computers and Operations Research, 32: 2027–2049(2005).

DOI: 10.1016/j.cor.2004.01.005

Google Scholar