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Maximum M-entropy model-type II for obtaining the ordered weighted averaging operator weights. (Persian. English summary) Zbl 1413.94034

Summary: 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.

MSC:

94A17 Measures of information, entropy
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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