Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures
文献类型：期刊论文
| 作者 | Xie, Ting1,2 ; Gong, Zengtai1
|
| 刊名 | JOURNAL OF FUNCTION SPACES
 |
| 出版日期 | 2019 |
| 页码 | 4631530 |
| ISSN号 | 2314-8896 |
| DOI | 10.1155/2019/4631530 |
| 英文摘要 | The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and sigma-circle plus-measures. Furthermore, the characterization theorem and transformation theorem for the integral are given. Finally, we study the Lyapunov type inequality and Stolarsky type inequality for the Choquet-like integral. |
| WOS关键词 | SUGENO ; JENSEN |
| 资助项目 | National Natural Science Foundation of China[61763044] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000455777700001 |
| 出版者 | HINDAWI LTD |
| 资助机构 | National Natural Science Foundation of China |
| 源URL | [http://119.78.100.186/handle/113462/66365]  |
| 专题 | 中国科学院近代物理研究所 |
| 作者单位 | 1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Ting,Gong, Zengtai. Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures[J]. JOURNAL OF FUNCTION SPACES,2019:4631530. |
| APA | Xie, Ting,&Gong, Zengtai.(2019).Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures.JOURNAL OF FUNCTION SPACES,4631530. |
| MLA | Xie, Ting,et al."Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures".JOURNAL OF FUNCTION SPACES (2019):4631530. |
入库方式： OAI收割
来源：近代物理研究所
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