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模糊优化问题的确定性方法
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O189.1[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001
  • 相关基金：Supported by the National Natural Science Foundation of China （ 10571035 ）
作者： 陈明浩[1]
关键词： 模糊数的参数表示, 方向微分, 模糊优化问题, parametric representation of fuzzy numbers, directional differential, fuzzy optimization problems
中文摘要：

讨论从赋范线性空间中的开集到一维模糊数集的模糊映射的微分.在研究模糊微分的领域中已有许多丰富的结果,如,Puri-Ralescu,Goestchel-Voxman,Dubois-Prade以及Furukawa等的有关结果.介绍了相应于Furukawa导数的模糊微分,并用确定性方法研究了基于Furukawa微分的一类模糊优化问题.

英文摘要：

The fuzzy differentials of fuzzy functions which map from open sets in normed spaces to sets of fuzzy sets are considered. In the field of studying fuzzy differentials, there are many fruitful results, i. e. , due to Purl and Ralescu, Goetschel and Voxman, Dubois and Prade, and Furukawa, etc. A kind of fuzzy differentials which are corresponding to the Furukawa＇ s （ see [ 7,8 ] ） derivatives is introduced and is applied a deterministic method to some fuzzy optimization problems.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204