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• W2979031722 abstract "In this article, we study the polytope of 2-additive measures, an important subpolytope of the polytope of fuzzy measures. For this polytope, we obtain its combinatorial structure, namely the adjacency structure and the structure of two-dimensional faces, three-dimensional faces, and so on. Based on this information, we build a triangulation of this polytope satisfying that all simplices in the triangulation have the same volume. As a consequence, this allows a very simple and appealing way to generate points in a random way in this polytope, an interesting problem arising in the practical identification of 2-additive measures. Finally, we also derive the volume and the centroid of this polytope." @default.
• W2979031722 created "2019-10-10" @default.
• W2979031722 creator A5040740510 @default.
• W2979031722 creator A5082020865 @default.
• W2979031722 date "2020-11-01" @default.
• W2979031722 modified "2023-09-30" @default.
• W2979031722 title "Combinatorial Structure of the Polytope of 2-Additive Measures" @default.
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• W2979031722 doi "https://doi.org/10.1109/tfuzz.2019.2945243" @default.
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