A linear programming model for determining ordered weighted averaging operator weights with maximal Yager's entropy

It has a wide attention about the methods for determining OWA operator weights. At the beginning of this dissertation, we provide a briefly overview of the main approaches for obtaining the OWA weights with a predefined degree of orness. Along this line, we nextmake an important generalization of these approaches as a special case of the well-known andmore general problem of calculation of the probability distribution in the presence of uncertainty. All these existedmethods for dealing these kinds of problems are quite complex. In order to simplify the process of computation, we introduce Yager’s entropy based on Minkowski metric. By analyzing its desirable properties and utilizing this measure of entropy, a linear programming (LP) model for the problem of OWA weight calculation with a predefined degree of orness has been built and canbecalculatedmucheasier. Then, this result is further extended to themore realistic caseof onlyhaving partial information on the range of OWAweights except a predefined degree of orness. In the end, two numerical examples are provided to illustrate the application of the proposed approach. 2009 Elsevier Ltd. All rights reserved.