ABSTRACT
In decision making, a group of experts give opinion on an event say X. There is a need to get a group consensus on X. It is usually not possible to have all experts with the same opinion. Therefore, one needs to fuse different opinions into one opinion (i.e., group opinion). The challenge for this task is the situation that the number of experts is too small, as this situation does not justify the use of the average statistics to come up with a group opinion. This paper addresses this challenge. The main idea of the approach to solve this group decision problem is to consider that the group consensus or opinion is a non-linear function of individual opinions and the non-linear function is further represented by a series of iterations to update the weights in a linear function (i.e., the weighted average of individual opinions). An example is given to illustrate the effectiveness of the approach.
- Cai, M. Y., Lin, Y., Han, B., Liu, C. J., and Zhang, W. J. 2016. On a simple and efficient approach to probability distribution function aggregation. IEEE Trans. Syst., Man, Cybern., Syst. PP, 99, 1--100.Google Scholar
- Dalkey, N., and Helmer O. 1963. An experimental application of the DELPHI method to the use of experts. Manag. Sci. 9, 3 (Apr. 1963), 458--467.Google ScholarCross Ref
- Klema, V., and Laub, A. 1980. The singular value decomposition: Its computation and some applications. IEEE Trans. Autom. Control 25, 2 (Apr. 1980), 164--176.Google ScholarCross Ref
- Lauffenburger, D. A., and Dedon, P. C. 2008. Perspectives in Biological Engineering. MIT. Cambridge, MA, USA. {Lecture Notes}. Class No. BE.400/7.548. Availanble: http://web.mit.edu/be.400/www/SVD/Singular_Value_Decomposition.htm.Google Scholar
- Liu, X., Ghorpade, A., Tu, Y. L., and Zhang, W. J. 2012. A novel approach to probability distribution aggregation. Inform. Sci. 188, 4 (Apr. 2012), 269--275. Google ScholarDigital Library
- Li, Q. 2013. A novel Likert scale based on fuzzy sets theory. Expert Syst Appl 40, 5 (Apr. 2013), 1609--1618. Google ScholarDigital Library
- Modi, S., Tiwari, M. K., Lin, Y., & Zhang, W. J. (2011). On the architecture of a human-centered CAD agent system. Computer-Aided Design 43, 2 (Feb. 2011), 170--179. Google ScholarDigital Library
- Ouyang, P. R., Zhang, W. J., and Gupta, M. M. 2006. An adaptive switching learning control method for trajectory tracking of robot manipulators. Mechatronics 16, 1 (Feb. 2006), 51--61.Google ScholarCross Ref
- Verwoerd, M. H. A. 2005. Iterative Learning Control: A Critical Review. Doctoral Thesis. University of Twente.Google Scholar
- Yager, R. R. 1988. On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. Syst., Man, and Cybern. 18, 1 (Jan./Feb. 1988), 183--190. Google ScholarDigital Library
- Yager, R. R., and Filev, D. P. 1999. Induced ordered weighted averaging operators. IEEE Trans. Syst., Man, Cybern., B, Cybern. 29, 2 (Apr. 1999), 141--150. Google ScholarDigital Library
- Yager, R. R. 2004. Generalized OWA aggregation operators. Fuzzy Optim. Decis. Ma. 3, 1 (Mar. 2004), 93--107. Google ScholarDigital Library
Index Terms
- Expert opinions aggregation for discrete events
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