| 关于模糊映射的凸性与严格凸性 |
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| 引用本文： | 包玉娥,吴从炘.关于模糊映射的凸性与严格凸性[J].哈尔滨工业大学学报,2007,39(4):639-641. |
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| 作者姓名： | 包玉娥 吴从炘 |
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| 作者单位： | 哈尔滨工业大学,数学系,哈尔滨,150001;内蒙古民族大学,数学与计算机学院,内蒙,通辽,028043;哈尔滨工业大学,数学系,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目(10271035) |
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| 摘 要： | 在已有文献的基础上,讨论了模糊映射的凸性和严格凸性之间的关系,得到了凸模糊映射为严格凸模糊映射的充分条件.在下半连续条件下,又给出了凸模糊映射和严格凸模糊映射的若干个充分条件.
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| 关 键 词： | 下半连续 凸模糊映射 严格凸模糊映射 |
| 文章编号： | 0367-6234(2007)04-0639-03 |
| 修稿时间： | 2005-06-20 |
On convexity and strict convexity of fuzzy mappings |
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| BAO Yu-e,WU Cong-xin.On convexity and strict convexity of fuzzy mappings[J].Journal of Harbin Institute of Technology,2007,39(4):639-641. |
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| Authors: | BAO Yu-e WU Cong-xin |
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| Affiliation: | 1.Department of Mathematics;Harbin Institute of Technology;Harbin 150001;China;2.College of Mathematics and Computer;Inner Mongolia National University;Tongliao 028043;China |
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| Abstract: | Based on refrence,the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained.Also several sufficient conditions for convexity and strict convexity of fuzzy mapping under the condition of lower semicontinuity are inferred. |
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| Keywords: | lower scontinuity cnvex fuzzy mapping strictly convex fuzzy mapping |
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