| 包玉娥,吴从炘.半模糊凸模糊映射[J].数学研究及应用,2010,30(4):571~580 |
| 半模糊凸模糊映射 |
| Semistrictly Convex Fuzzy Mappings |
| 投稿时间：2008-06-06 修订日期：2008-07-07 |
| DOI：10.3770/j.issn:1000-341X.2010.04.001 |
| 中文关键词: 凸性 严格凸性 半严格凸性 下半连续 模糊映射. |
| 英文关键词:convexity strict convexity semistrict convexity lower semicontinuity fuzzy mapping. |
| 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). |
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| 中文摘要: |
| 本文引入了一类新的凸模糊映射一半严格凸模糊映射的概念,并讨论了它的一些性质.特别是,证明了它的局部性最小值就是整体性最小值,还讨论了它与凸性及严格凸性之间的关系,得到凸性和严格凸性成为半严格凸性的几个充分条件. |
| 英文摘要: |
| 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. |
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