| 语言真值格蕴涵代数的蕴涵不可约元 |
| |
| 引用本文： | 赖家俊,徐扬.语言真值格蕴涵代数的蕴涵不可约元[J].电子学报,2014,42(10):1998-2003. |
| |
| 作者姓名： | 赖家俊 徐扬 |
| |
| 作者单位： | 1. 西南交通大学基础课部(峨眉校区), 四川峨眉 614202;
2. 西南交通大学智能控制开发中心(九里校区), 四川成都 610031 |
| |
| 基金项目： | 国家自然科学基金，四川省科技支撑计划 |
| |
| 摘 要： | 本文提出了语言真值格蕴涵代数的蕴涵不可约元、有限蕴涵分解元、有限蕴涵分解不可约元的定义,并研究了它们的结构特征,证明了语言真值格蕴涵代数中的部分元素可由蕴涵不可约元通过张量积运算生成.
|
| 关 键 词： | 语言真值格蕴涵代数 蕴涵不可约元 有限蕴涵分解元 有限蕴涵分解不可约元 |
| 收稿时间： | 2013-08-23 |
The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras |
| |
| LAI Jia-jun,XU Yang.The Irreducible Elements of Linguistic Truth-Valued Lattice Implication Algebras[J].Acta Electronica Sinica,2014,42(10):1998-2003. |
| |
| Authors: | LAI Jia-jun XU Yang |
| |
| Affiliation: | 1. Department of Basic Courses, Southwest Jiaotong University, Emei, Sichuan 614202, China;
2. Intelligent Control Development Center, Southwest Jiaotong University, Chengdu, Sichuan 610031, China |
| |
| Abstract: | The implicational irreducible elements, finite implicational decomposable elements and finite implicational decomposable irreducible elements based on linguistic truth-valued lattice implication algebra were discussed in this paper, their structure characteristics were investigated about implicational irreducible elements, finite implicational decomposable elements, and finite implicational decomposable irreducible elements, and it is proved that a part elements of linguistic-valued lattice implication algebra were generated by tensor product operation. |
| |
| Keywords: | linguistic truth-valued lattice implication algebra implicational irreducible element finite implicational decom-posable element finite implicational decomposable irreducible element |
|
| 点击此处可从《电子学报》浏览原始摘要信息 |
|
点击此处可从《电子学报》下载全文 |
|
