分配格上离散Sugeno积分作为多项式函数的刻画
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
摘要：
我们给出了有界分配格上离散Sugeno积分的几个特征，作为格多项式函数的特殊情况，即可以用有界格的语言用变量和常数表示的函数。我们还考虑了项函数的子类以及对称多项式函数和加权最小和最大函数类，并给出了它们的特征。此外，我们还讨论了这些函数的正规形表示。
英文摘要：
We give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is, functions which can be represented in the language of bounded lattices using variables and constants. We also consider the subclass of term functions as well as the classes of symmetric polynomial functions and weighted minimum and maximum functions, and present their characterizations, accordingly. Moreover, we discuss normal form representations of these functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
