| 广义B-凸模糊映射及其应用 |
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| 引用本文： | 包玉娥,吴从炘.广义B-凸模糊映射及其应用[J].模糊系统与数学,2006,20(3):77-82. |
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| 作者姓名： | 包玉娥 吴从炘 |
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| 作者单位： | 1. 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001;内蒙古民族大学,数学与计算机学院,内蒙古,通辽,028043
2. 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： | 国家自然科学基金资助项目 |
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| 摘 要： | 提出B-E-凸模糊映射的概念,并讨论了其一些性质,得到了这一类广义B-凸模糊映射的若干刻划定理,还讨论了这一类广义B-凸模糊映射在模糊优化中的应用,并得到了和最优解有关的一些结果。
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| 关 键 词： | 模糊数 模糊映射 E-凸集 B-广义凸模糊映射 |
| 文章编号： | 1001-7402（2006）03-0077-06 |
| 收稿时间： | 2005-04-03 |
| 修稿时间： | 2005-06-14 |
Generalized B-vex Fuzzy Mappings and Its Application |
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| BAO Yu-e,WU cong-xin.Generalized B-vex Fuzzy Mappings and Its Application[J].Fuzzy Systems and Mathematics,2006,20(3):77-82. |
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| Authors: | BAO Yu-e WU cong-xin |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001,China School Mathematics and Computer,Neimongolia National University, Tongliao 028043,China |
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| Abstract: | In this paper,we had introduced the concepts of B-E-convex fuzzy mapping,and discussed its some properties.we obtained several characterizations of a kind of generalized B-vex fuzzy(mapping.) Finally,we had discussed the application of a kind of generalized B-vex fuzzy mapping in(fuzzy) optimization,and obtained some significance results about optimal solutions. |
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| Keywords: | Fuzzy Numbers Fuzzy Mapping E-convex Set Generalized B-vex Fuzzy Mapping |
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