Maximum M-Entropy model- type ΙΙ for obtaining the ordered weighted averaging operator weights

Document Type : Original Paper


1 Shohadaie Hovaizeh University of Technology, Susangerd, Iran

2 Department of Mathematics, Iran University of Science and Technology


One key issue in the theory of the OWA operator is to determine its associated weights. In this paper, based upon the M-Entropy measures, new models for obtaining the ordered weighted averaging (OWA) operators are proposed. In the models it is assumed, according to available information that the OWA weights are in decreasing or increasing order. Some properties of the models are analyzed and the method of Lagrange multipliers is used to provide a direct way to find these weights. The models are solved with specific level of Orness comparing the results with some other related models and with the other maximum M-entropy model. The results demonstrate the efficiency of the M-Entropy models in generating the OWA operator weights. Also, the obtained weights of the two M-entropy models confirm the difference between two types of the models. Finally, an applied example is presented to illustrate the applications of the proposed model.


Main Subjects

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  • Receive Date: 13 December 2014
  • Revise Date: 09 September 2015
  • Accept Date: 16 December 2015
  • First Publish Date: 16 December 2015