Study on Divergence Based on the Grey Relational Degree in the Group Decision-Making

Abstract:

Expert is a very important factor that affects the outcome of decision-making. This paper applies the grey relational degree in measuring the similarity on the evaluation of decision-making scheme between individual expert and expert group, and establishes the research model of expert's decision-making divergence, which provides some theoretical basis for expert’s evaluative reliability and fairness, reveals some possible bias in attribute understanding as well as important deficiencies or loopholes that existed in schemes. Besides, it provides a better way of man-machine interface for hall for workingshop of metasynthetic (HWME) and a good chance for further discussion about minority’s different opinions. Finally, the approach is proved to be effective in revealing the divergence and deviation of decision making through the example.

• Periodical: Applied Mechanics and Materials (Volumes 29-32)
• Pages: 1168-1174
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.29-32.1168
• Online since: August 2010
• Authors: Jun Ying Wang, De Hua Li, Shi Hong Wu
• Keywords: Decision-Making Divergence, Decision-Making Similarity, Grey Relational Degree, Man-Machine Combination, Multi-Attribute Group Decision-Making (MGDM)

References

[1] J Kacprzyk and S Zadrozny: On the Use of Fuzzy Majority for Supporting Consensus Reaching under Fuzziness[C], Proceedings of the Sixth IEEE International Conference, Fuzzy Systems, 3, 1997, pp.1683-1688.

DOI: 10.1109/fuzzy.1997.619793

[2] Fedrizzi Mario, Fedrizzi Michele and R Pereira: A Marques. Soft Consensus and $etwork Dynamics in Group Decision Making[J], International Journal of Intelligent Systems, 14(1), 1999, pp.63-77.

DOI: 10.1002/(sici)1098-111x(199901)14:1<63::aid-int5>3.0.co;2-s

[3] R R Yager: On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decision Making[J], IEEE Transaction on Systems Man: Cybernet, 18(2), 1988, pp.183-190.

DOI: 10.1109/21.87068

[4] Y H Chen and W H Qiu: Compatibility Fuzzy Analysis on Group Decision Making[J], Journal of Systems Engineering, 22(5), 2007, pp.492-497.

[5] J X Yuan and W J Wan. A Study of Divergence Feature among Members and Judgment Criterions in GDM[J], Mathematics in Practice and Theory, 37(24), 2007, pp.89-95.

03.

04.

05.

06.

07.

08.

09.

1.

11.

12.

3ρ=.

5ρ=.

7ρ= 1 2 3 4 5 6 7 8.

975.

98.

985.

99.

995 1.

[1] 005.

[1] 01.

[1] 015.

[1] 02.

[1] 025 scoring sequence by expert 5 scoring sequence by expert 12 Fig. 2 )on-dimensionalized scoring sequence on 8 alternative by experts.

[6] J L Deng: Grey Prediction and Grey Decision[M] , WuHan: Huazhong University of Science and Technology Press, (2002).

[7] D G Lu, L Wang and P Zhang: On Similar Approach Degree Algorithm for Fuzzy Multiple Attribute Decision- Making[J]. Control and Decision, 19(11), 2004, pp.1282-1285.

[8] C Y Yue: Decision Theory and Methodology[M], WuHan: Science Press, (2003).

[9] C Q Xiong, D H, LI and L H Jin: Group Consistency Analysis for Protecting the Minority Views, Systems Engineering-Theory & Practice, 10, 2008, pp.102-107.