Wu, WeiliZhang, Z.Du, Dingzhu2020-03-312020-03-312018-12-172194-668Xhttp://dx.doi.org/10.1007/s40305-018-0233-3https://hdl.handle.net/10735.1/7734This article is an introduction to recent development of optimization theory on set functions, the nonsubmodular optimization, which contains two interesting results, DS (difference of submodular) functions decomposition and sandwich theorem, together with iterated sandwich method and data-dependent approximation. Some potential research problems will be mentioned. © 2018, The Author(s).enCC BY 4.0 (Attribution)©2018 The Authorshttp://creativecommons.org/licenses/by/4.0/Submodular functionsDecomposition (Mathematics)Set functionsMathematical optimizationDecomposition (Mathematics)articleWu, W. -L, Z. Zhang, and D. -Z Du. 2019. "Set Function Optimization." Journal of the Operations Research Society of China 7(2): 183-193, doi: 10.1007/s40305-018-0233-372