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In order to find global minimizer, a transformation function without any parameters is proposed for solving unconstrained global optimization problems. This transformation function method is based on a similar idea to the filled function method. The properties of the transformation function are discussed in the region where the objective function values are not higher than the obtained minimum. Based...
In the paper, we make a study of cooperative fuzzy games with infinite players and with fuzzy coalitions, which admit the representation of rates of players' participation to each coalition. We propose a natural class of fuzzy games with Choquet integral form which has many rational properties, such as monotonicity, convexity and superadditivity. Finally, we prove that the proposed fuzzy game is of...
In this paper , a parameter-free filled function for global optimization is developed, and some theory properties of the function is discussed. An optimization algorithm for article[7] is modified. Several examples and the numerical results show that the form filled function is feasibility and efficiency.
In the paper, we generalize the conception of absolute continuity to the non-additive set functions on T∞-tribe. Based on the operators of triangular norm, the equivalences among different types of absolute continuity of non-additive set functions on T∞-tribe are established.
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