| 半模糊凸模糊映射 |
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| 引用本文： | 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. DOI: 10.3770/j.issn:1000-341X.2010.04.001 |
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| 作者姓名： | 包玉娥 吴从炘 |
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| 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 |
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| 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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| 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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| 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 |
Semistrictly Convex Fuzzy Mappings |
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| Yu E BAO and Cong Xin WU. Semistrictly Convex Fuzzy Mappings[J]. Journal of Mathematical Research with Applications, 2010, 30(4): 571-580. DOI: 10.3770/j.issn:1000-341X.2010.04.001 |
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| Authors: | Yu E BAO and Cong Xin WU |
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| Affiliation: | 1. College of Mathematics, Inner Mongolia University for the Nationalities, Neimongolia 028043, P. R. China
2. Department of Mathematics, Harbin Institute of Technology, Heilongjiang 150001, P. R. China |
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| Abstract: | 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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| Keywords: | convexity strict convexity semistrict convexity lower semicontinuity fuzzy mapping. |
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