Fuzzy Optimization and Decision Making

, Volume 15, Issue 2, pp 177–193 | Cite as

Probability distribution based weights for weighted arithmetic aggregation operators

  • Zhan Su
  • Zeshui Xu
  • Shousheng Liu


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.


Multiple 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).


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.College of SciencesPLA University of Science and TechnologyNanjingChina
  2. 2.Business SchoolSichuan UniversityChengduChina

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