|
|||||
|
|
| n维凸模糊集与n维模糊数 | |
| 引用本文： | 商有光,张成,夏尊铨.n维凸模糊集与n维模糊数[J].大连理工大学学报,2012,52(2):304-308. |
| 作者姓名： | 商有光 张成 夏尊铨 |
| 作者单位： | 1. 大连理工大学数学科学学院,辽宁大连116024／中央财经大学金融学院,北京100081 2. 大连大学信息工程学院,辽宁大连,116622 3. 大连理工大学数学科学学院,辽宁大连,116024 |
| 基金项目： | 国家自然科学基金资助项目 |
| 摘 要： | 在n维模糊集理论的基础上,给出了n维凸模糊集的定义,利用凸模糊集的有关性质研究了n维凸模糊集的有关性质.在此研究基础上,又给出了n维(闭)模糊数的概念,根据模糊数的有关性质得到了n维(闭)模糊数相应的运算性质和表示定理,为建立基于n维模糊集的凸分析理论奠定了基础. |
| 关 键 词： | n维模糊集 n维凸模糊集 n维模糊数 |
n Dimensional convex fuzzy sets and n dimensional fuzzy numbers |
|
| SHANG Youguang,ZHANG Cheng,XIA Zunquan.n Dimensional convex fuzzy sets and n dimensional fuzzy numbers[J].Journal of Dalian University of Technology,2012,52(2):304-308. | |
| Authors: | SHANG Youguang ZHANG Cheng XIA Zunquan |
| Institution: | 1.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China; 2.School of Finance,Central University of Finance and Economics,Beijing 100081,China; 3.College of Information Engineering,Dalian University,Dalian 116622,China |
| Abstract: | Based on theory of n-dimensional fuzzy set,the definition of the n-dimensional convex fuzzy set is given.The properties of n-dimensional convex fuzzy sets are discussed by means of the properties of convex fuzzy sets.According to the above discussion and properties of fuzzy numbers,the notion of n-dimensional(closed) fuzzy numbers is introduced,and the corresponding operation properties and the representation theorem of n-dimensional(closed) fuzzy numbers are obtained.Furthermore,the above results are applied to establishing the foundation of the convex analysis of n-dimensional fuzzy set. |
| Keywords: | n-dimensional fuzzy sets n-dimensional convex fuzzy sets n-dimensional fuzzy numbers |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |
| 点击此处可从《大连理工大学学报》浏览原始摘要信息 | |
| 点击此处可从《大连理工大学学报》下载免费的PDF全文 | |