| n维模糊数值函数的预不变凸性 |
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| 引用本文： | 巩增泰,高寒.n维模糊数值函数的预不变凸性[J].山东大学学报(理学版),2018,53(10):72-81. |
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| 作者姓名： | 巩增泰 高寒 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11461062,61763044) |
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| 摘 要： | 借助于n维模糊数空间上的偏序关系, 提出和定义了n维模糊映射的预不变凸性, 包括n维模糊映射的预不变凸、严格预不变凸、弱严格预不变凸、预拟不变凸、严格预拟不变凸、弱严格预拟不变凸性;进而讨论了各种预不变凸性之间的相互关系;并对其相互关系进行了举例说明。
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| 关 键 词： | 预不变凸模糊数值函数 不变凸集 n维模糊数空间 |
| 收稿时间： | 2017-12-11 |
Preinvexity of n-dimensional fuzzy number-valued functions |
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| GONG Zeng-tai,GAO Han.Preinvexity of n-dimensional fuzzy number-valued functions[J].Journal of Shandong University,2018,53(10):72-81. |
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| Authors: | GONG Zeng-tai GAO Han |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | By means of the partial order relation in n-dimensional fuzzy number space, some preinvexity of n-dimensional fuzzy number-valued functions are defined, including preinvexity, weakly preinvexity, strictly preinvexity, weakly strictly preinvexity, prequasiinvexity, weakly prequasiinvexity, strictly prequasiinvexity, weakly strictly prequasiinvexity, and so on. In addition, their interrelation of the preinvexity of n-dimensional fuzzy number-valued functions are discussed, and some examples are given to illustrate the interrelation of the preinvexity. |
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| Keywords: | invex sets preinvexity fuzzy number-valued functions n-dimensional fuzzy number space |
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