Probability distribution based weights for weighted arithmetic aggregation operators
- 479 Downloads
One key point in the multiple attribute decision making is to determine the associated weights. In this paper, we first briefly review some main methods for determining the weights by using distribution functions. Then, motivated by the idea of data distribution, we develop some novel methods for obtaining the weights associated with the weighted arithmetic aggregation operators. The methods can relieve the influence of biased data on the decision results by weighting these data with small values based on the corresponding probability of data. Furthermore, some commonly used probability distribution methods are used to solve the problems in different conditions. Finally, four practical examples are provided to illustrate the weighting method.
KeywordsMultiple attribute decision making (MADM) Probability distribution Ordered weighted aggregation (OWA) operators Weighted arithmetic aggregation (WAA) operators
This research was funded by the National Natural Science Foundation of China (No. 61273209), and the Central University Basic Scientific Research Business Expenses Project (No. skgt201501).
- Anders, H. (1990). De Moivre and the doctrine of chances, 1718, 1738, and 1756, history of probability and statistics and their applications before 1750., Wiley Series in Probability and Statistics New York: Wiley Interscience.Google Scholar
- Wei, W. X., & Feng, J. (1998). Study on multiobjective weights combination assigning method. Systems Engineering and Electronics, 20, 14–16.Google Scholar