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Semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems 被引量:1
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作者 Xin Xu Yang-Dong Xu Yue-Ming 《Journal of the Operations Research Society of China》 EI CSCD 2021年第2期441-454,共14页
With the help of a level mapping,this paper mainly investigates the semicontinuity of minimal solution set mappings for set-valued vector optimization problems.First,we introduce a kind of level mapping which generali... With the help of a level mapping,this paper mainly investigates the semicontinuity of minimal solution set mappings for set-valued vector optimization problems.First,we introduce a kind of level mapping which generalizes one given in Han and Gong(Optimization 65:1337–1347,2016).Then,we give a sufficient condition for the upper semicontinuity and the lower semicontinuity of the level mapping.Finally,in terms of the semicontinuity of the level mapping,we establish the upper semicontinuity and the lower semicontinuity of the minimal solution set mapping to parametric setvalued vector optimization problems under the C-Hausdorff continuity instead of the continuity in the sense of Berge. 展开更多
关键词 set-valued vector optimization problems Level mapping Solution set mapping Upper semicontinuity Lower semicontinuity
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ON THE GENERALIZED FRITZ JOHN OPTIMALITY CONDITIONS OF VECTOR OPTIMIZATION WITH SET-VALUED MAPS UNDER BENSON PROPER EFFICIENCY 被引量:3
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作者 盛宝怀 刘三阳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第12期1444-1451,共8页
A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condit... A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set-valued map are introduced. By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set-valued optimization under Benson proper efficiency is established, its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set-valued map is specialized to be a single-valued map. 展开更多
关键词 contingent tangent cone set-valued map Benson proper efficiency Fritz John condition
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Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces 被引量:2
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作者 周志昂 《Journal of Shanghai University(English Edition)》 CAS 2010年第5期374-379,共6页
Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. U... Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency. 展开更多
关键词 set-valued maps vector closure generalized subconvexlikeness Benson proper efficient solution
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A REMARK ON THE DERIVATE OF SET-VALUED MAPPING 被引量:1
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作者 Chen Bing(Dept. of Math. Jinzhou Teachers CollegeJinzhou 121003) 《数学研究》 CSCD 1994年第1期51-55,共5页
AREMARKONTHEDERIVATEOFSET-VALUEDMAPPING¥ChenBing(Dept.ofMath.JinzhouTeachersCollegeJinzhou121003)Abstract:Th... AREMARKONTHEDERIVATEOFSET-VALUEDMAPPING¥ChenBing(Dept.ofMath.JinzhouTeachersCollegeJinzhou121003)Abstract:Thederivateofset-va... 展开更多
关键词 集值映射 H-导出数 集值积分 巴拿赫空间
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Self-organizing Map Method Based on Real Rough Sets Space and Its Application of Pattern Recognition 被引量:2
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作者 肖迪 胡寿松 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2006年第1期72-76,共5页
This paper presents a real rough sets space and corresponding concepts of real lower and upper approximation sets which correspond to the real-valued attributes. Therefore, the real rough sets space can be investigate... This paper presents a real rough sets space and corresponding concepts of real lower and upper approximation sets which correspond to the real-valued attributes. Therefore, the real rough sets space can be investigated directly. A rhombus neighborhood for SOM is proposed, and the combination of SOM and rough sets theory is explored. According to the distance between the weight of winner node and the input vector in the real rough sets space, new weight learning rules are defined. The modified method makes the classification of the output of SOM clearer and the intervals of different classes larger. Finally, an example based on fault identification of an aircraft actuator is presented, The result of the simulation shows that this method is right and effective. 展开更多
关键词 rough sets theory self-organlzlng map real value rough set rhombus neighborhood pattern recognition
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ε-super Effcient Solutions of Optimization Problems with Set-valued Maps in Locally Convex Space 被引量:1
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作者 WANG Shu-yu LIU Wan-li 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期26-31,共6页
In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,u... In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,used new methods,the scalarization theorem and Lagrange multiplier theorem for ε-super effcient solution are established. 展开更多
关键词 nearly generalized cone-subconvexlikeness set-valued map ε-super effcient solution lagrange multiplier
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Mapping of three QTLs for seed setting and analysis on the candidate gene for qSS-1 in rice(Oryza sativa L.) 被引量:2
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作者 Elsheikh Y M Ahmed ZHANG Yan-pei +5 位作者 YU Jian-ping Rashid M A Rehman ZHANG Zhan-ying ZHANG Hong-liang LI Jin-jie LI Zi-chao 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2016年第4期735-743,共9页
The lower seed setting is one of the major hindrances which face grain yield in rice. One of the main reasons to cause low spikelet fertility (seed setting) is male sterility or pollen abortion. Notably, pollen abor... The lower seed setting is one of the major hindrances which face grain yield in rice. One of the main reasons to cause low spikelet fertility (seed setting) is male sterility or pollen abortion. Notably, pollen abortion has been frequently observed in advanced progenies of rice. In the present study, 149 BC2F6 individuals with significant segregation in spikelet fertility were generated from the cross between N040212 (indica) and Nipponbare (japonica) and used for primary gene mapping. Three QTLs, qSS-1, qSS-7 and qSS-9 at chromosomes 1, 7 and 9, respectively, were found to be associated with seed setting. The recombinant analysis and the physical mapping information from publicly available resources exhibited that the qSS-1, qSS-7 and qSS-9 loci were mapped to an interval of 188, 701 and 3741 kb, respectively. The seed setting responsible for QTL qSS-1 was further fine mapped to 93.5 kb by using BC2F7 population of 1 849 individuals. There are 16 possible putative genes in this 93.5 kb region. Pollen vitality tests and artificial pollination indicated that the male gamete has abnormal pollen while the female gamete was normal. These data showed that low seed setting rate relative to qSS-1 may be caused by abnormal pollen grains. These results will be useful for cloning, functional analysis of the target gene governing spikelet fertility (seed setting) and understanding the genetic bases of pollen sterility. 展开更多
关键词 rice (Oryza sativa L.) QTL mapping seed setting pollen sterility
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SET VALUE MAPPING AND ITS APPLICATION
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作者 李挺 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第2期263-268,共6页
The dynamics of set value mapping is considered. For the upper semi-continuous set value maps, the existence of attractors under some conditions and the upper semi-continuity of attractors under the perturbation are p... The dynamics of set value mapping is considered. For the upper semi-continuous set value maps, the existence of attractors under some conditions and the upper semi-continuity of attractors under the perturbation are proved. Its application in numerical simulation of differential equation is also considered. The upper semi-continuity of attractors in set value maps under the perturbation is used to show the reasonable of subdivision algorithm and interval arithmetic in numerical simulation of differential equation. 展开更多
关键词 set value mapping ATTRACTOR upper semi-continuity
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Likely Limit Sets of a Class of p-order Feigenbaum's Maps 被引量:1
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作者 WANG WEI LIAO LI 《Communications in Mathematical Research》 CSCD 2012年第2期137-145,共9页
A continuous map from a closed interval into itself is called a p-order Feigenbaum's map if it is a solution of the Feigenbaum's equation fP(λx)=λf(x). In this paper, we estimate Hausdorff dimensions of likely... A continuous map from a closed interval into itself is called a p-order Feigenbaum's map if it is a solution of the Feigenbaum's equation fP(λx)=λf(x). In this paper, we estimate Hausdorff dimensions of likely limit sets of some p-order Feigenbaum's maps. As an application, it is proved that for any 0 〈 t 〈 1, there always exists a p-order Feigenbaum's map which has a likely limit set with Hausdorff dimension t. This generalizes some known results in the special case of p =2. 展开更多
关键词 Feigenbaum's equation Feigenbaum's map likely limit set Hausdorff dimension
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Rough Set Theory Based Map Matching Scheme for Mobile Location System
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作者 Ruyun Zhang Peng Li Shanshan Wang 《通讯和计算机(中英文版)》 2010年第3期39-43,共5页
关键词 移动定位系统 粗糙集理论 地图匹配 统计 移动用户 无线网络 道路驾驶 数据通信
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THE EXISTENCE THEOREM OF THE CONE-WEAK SUBDIFFERENTIAL OF SET-VALUED MAPPING 被引量:1
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作者 HUYUDA MENGZHIQING 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1998年第4期473-477,共5页
In this paper, the existence theorem of the cone weak subdifferential of set valued mapping in locally convex topological vector space is proved. Received March 30,1998. 1991 MR Subject Classification: 4... In this paper, the existence theorem of the cone weak subdifferential of set valued mapping in locally convex topological vector space is proved. Received March 30,1998. 1991 MR Subject Classification: 47H17,90C29. 展开更多
关键词 set valued mapping cone convex cone weak subgradient cone weak subdifferential.
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FUZZY APPROACHING SET AND FUZZYAPPROACHING FUNCTIONAL MAPPING
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作者 曹纯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第11期0-0,0-0+0-0+0-0+0-0+0,共11页
By establishing the concepts of fuzzy approaching set and fuzzy approaching functional mapping and making research on them, a new method for time series prediction is introduced.
关键词 fuzzy approaching set fuzzy approaching functional mapping time series prediction
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Iterative Approximation with Errors for Generalized Set-Valued Strongly Accretive Mapping in Banach Spaces
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作者 张勇 《Journal of Southwest Jiaotong University(English Edition)》 2007年第1期70-74,共5页
A new concept of generalized set-valued strongly accretive mappings in Banach spaces was given and some strong convergence theorems of Ishikawa and Mann iterative process with errors approximation methods by Huang et ... A new concept of generalized set-valued strongly accretive mappings in Banach spaces was given and some strong convergence theorems of Ishikawa and Mann iterative process with errors approximation methods by Huang et al. was proved. The results presented in this paper improve and extend the earlier results obtained by Huang et al. 展开更多
关键词 Generalized set-valued strongly accretive mappings Ishikawa and Mann iterative processes with errors q-Uniformly Smooth Banach spaces Generalized duality mapping
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HB-Continuous Mappings in L-Topological Space
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作者 Najah A. AlSaedi 《Advances in Pure Mathematics》 2024年第5期333-353,共21页
In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new... In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals. 展开更多
关键词 L-Topological Space HB-Closed set H-Bounded set HB-Continuous mappings HB-Convergence L-Molecular Nets L-Ideals
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Iterative Processes with Errors for Generalized Set-Valued φ-Hemi-contractive Mapping in Banach Spaces
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作者 张勇 《Journal of Southwest Jiaotong University(English Edition)》 2006年第2期194-199,共6页
A new conception of generalized set-valued Ф-hemi-contractive mapping in Banach spaces is presented. Some strong convergence theorems of Ishikawa and Mann iterative approximation with errors is proved. The results in... A new conception of generalized set-valued Ф-hemi-contractive mapping in Banach spaces is presented. Some strong convergence theorems of Ishikawa and Mann iterative approximation with errors is proved. The results in this paper improve and extend the earlier results. 展开更多
关键词 Generalized set-valued Ф-hemi-contractive mapping Ishikawa and Mann iterative processes with errors q-uniformlysmooth Banach space Hausdorff metric Generalized duality mapping
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NON-WANDERING SET OF A CONTINUOUS GRAPH MAP
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作者 GuRongbao SunTaixiang ZhengTingting 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第4期477-481,共5页
The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is containe... The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is contained in the closure of the set R(f) of recurrent points of f. 展开更多
关键词 graph map recurrent point eventually recurrent point ω-limit set non-wandering set
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基于Topic Map的网络课件模型研究 被引量:7
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作者 周亭 周竹荣 黄果 《计算机工程与设计》 CSCD 北大核心 2007年第7期1683-1687,共5页
在分析传统网络课件结构的基础上,对基于主题图的网络课件采用集合论的方法进行了建模,并对TMC模型中的规则、性质及其作用进行了研究,利用Java和TM4L基于主题图描述语言(XTM)开发了TMC的原型系统,对该模型进行了验证。
关键词 主题图 网络课件 集合论 超文本 形式化模型
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基于HDFS管理MapGIS K9瓦片地图集的研究与实现 被引量:8
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作者 万波 党琦 杨林 《计算机应用与软件》 CSCD 北大核心 2013年第12期232-235,共4页
关系型数据库在管理海量空间数据时遇到诸多瓶颈,HDFS(Hadoop Distributed Filesystem)通过将大数据分割为多个小数据块,并将其分别存储在多个数据节点组成的分布式集群中,成为一种新的存储海量空间数据的方法。使用HDFS作为平台,利用... 关系型数据库在管理海量空间数据时遇到诸多瓶颈,HDFS(Hadoop Distributed Filesystem)通过将大数据分割为多个小数据块,并将其分别存储在多个数据节点组成的分布式集群中,成为一种新的存储海量空间数据的方法。使用HDFS作为平台,利用数据结构类型MapFile设计一种管理MapGIS K9瓦片地图集的方式,并进行实验。实验表明用HDFS管理海量瓦片地图比传统方式管理更易扩展,更加安全,效率更加高。 展开更多
关键词 海量空间数据 管理 HDFS 瓦片地图集
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集值映射的Set-Benson次梯度及其应用 被引量:1
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作者 徐义红 熊卫芝 段五朵 《南昌大学学报(工科版)》 CAS 2012年第2期193-196,共4页
引进集值映射的Set-Benson次梯度,通过一个具体例子说明了它与现有文献中的Benson次梯度的关系。利用集值映射的Hahn-Banach定理证明了Set-Benson次梯度的存在性定理。作为应用,给出了用它刻画集值优化问题取得Benson真有效元的充分条件。
关键词 set-Benson次梯度 Benson真有效元 集值映射
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一种新的基于MSC和ISOMAP的快速流形学习算法 被引量:1
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作者 雷迎科 《计算机科学》 CSCD 北大核心 2015年第8期244-248,共5页
针对等距特征映射(ISOMAP)算法计算复杂度高的问题,提出了一种新的基于最小子集覆盖(MSC)策略的快速等距特征映射算法(Fast-ISOMAP)。与原始的ISOMAP算法相比,Fast-ISOMAP算法在不显著改变原始ISOMAP算法嵌入性能的条件下,大大提高了算... 针对等距特征映射(ISOMAP)算法计算复杂度高的问题,提出了一种新的基于最小子集覆盖(MSC)策略的快速等距特征映射算法(Fast-ISOMAP)。与原始的ISOMAP算法相比,Fast-ISOMAP算法在不显著改变原始ISOMAP算法嵌入性能的条件下,大大提高了算法的计算效率,也适用于大规模流形学习问题。在标准数据集上的实验结果验证了该算法的有效性。 展开更多
关键词 等距特征映射 最小子集覆盖 多维尺度分析 流形学习
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