| 预不变凸模糊数值函数及其应用 |
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| 引用本文： | 巩增泰,白玉娟.预不变凸模糊数值函数及其应用[J].西北师范大学学报,2010,46(1):1-5. |
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| 作者姓名： | 巩增泰 白玉娟 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
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| 摘 要： | 利用本文所定义的上(下)半连续,在一种新序意义下讨论了预不变凸模糊数值函数的若干判定定理.特别地,给出了预不变凸模糊数值函数的刻划定理.最后,作为应用,讨论了一类模糊数学规划问题的严格局部最优解和全局最优解存在的条件.
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| 关 键 词： | 模糊数 上半连续 下半连续 预不变凸性 |
Preinvex fuzzy-valued functions and its application |
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| GONG Zeng-tai,BAI Yu-juan.Preinvex fuzzy-valued functions and its application[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010,46(1):1-5. |
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| Authors: | GONG Zeng-tai BAI Yu-juan |
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| Institution: | GONG Zeng-tai,BAI Yu-juan(College of Mathematics , Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | Based on the ordering of fuzzy numbers proposed by Goetschel and Voxman,the definition of upper(lower)semicontinuity of fuzzy-valued function is given,and some judge theorems and a characterization of preinvex fuzzy-valued function are obtained.As an application,the conditions that the fuzzy mathematical programming problems have local strictly optimal solution and global optimal solution are discussed. |
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| Keywords: | fuzzy number upper semicontinuity lower semicontinuity preinvexity |
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