| 半模糊凸模糊映射 |
| |
| 作者姓名： | 包玉娥 吴从炘 |
| |
| 作者单位： | 内蒙古民族大学数学学院, 内蒙古 通辽 028043;哈尔滨工业大学数学系, 黑龙江 哈尔滨 150001 |
| |
| 基金项目： | 国家自然科学基金(No.10271035),内蒙古教育厅科研基金资助项目(Grant No.NJ06088). |
| |
| 摘 要： | In this paper, a new class of fuzzy mappings called semistrictly convex fuzzy mappings is introduced and we present some properties of this kind of fuzzy mappings. In particular, we prove that a local minimum of a semistrictly convex fuzzy mapping is also a global minimum. We also discuss the relations among convexity, strict convexity and semistrict convexity of fuzzy mapping, and give several sufficient conditions for convexity and semistrict convexity.
|
| 关 键 词： | convexity strict convexity semistrict convexity lower semicontinuity fuzzy mapping. |
| 收稿时间： | 2008-06-06 |
| 修稿时间： | 2008-07-07 |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究与评论》浏览原始摘要信息 |
|
点击此处可从《数学研究与评论》下载免费的PDF全文 |
