| 格的TL-模糊理想 |
| |
| 引用本文： | 贺鹏飞,杨永伟.格的TL-模糊理想[J].数学杂志,2015,35(6):1341-1352. |
| |
| 作者姓名： | 贺鹏飞 杨永伟 |
| |
| 作者单位： | 西北大学数学系, 陕西 西安 710127,西北大学数学系, 陕西 西安 710127 |
| |
| 基金项目： | Supported by Graduate Independent Innovation Foundation of Northwest Uni-versity (YZZ12061); Scientific Research Program Funded by Shaanxi Provincial Education Department (2013JK0562). |
| |
| 摘 要： | 本文研究了格的TL-模糊理想. 利用生成TL-模糊理想, 证明了一个模格的全体TM-模糊理想形成一个完备的模格. 此外, 利用L-模糊集的投影和截影, 获得了将直积格的TL-模糊理想表示成分量格的TL-模糊理想的L-直积的一个充分必要条件. 所得结果进一步推广和发展了格的模糊理想的理论.
|
| 关 键 词： | 左连续t-模 模糊理想 模格 T-直积 |
| 收稿时间： | 2013/4/24 0:00:00 |
| 修稿时间： | 2013/9/23 0:00:00 |
ON TL-FUZZY IDEALS IN LATTICES |
| |
| HE Peng-fei and YANG Yong-wei.ON TL-FUZZY IDEALS IN LATTICES[J].Journal of Mathematics,2015,35(6):1341-1352. |
| |
| Authors: | HE Peng-fei and YANG Yong-wei |
| |
| Institution: | Department of Mathematics, Northwest University, Xi''an 710127, China and Department of Mathematics, Northwest University, Xi''an 710127, China |
| |
| Abstract: | In this paper, we study TL-fuzzy ideals in lattices. By a TL-fuzzy ideal generated by an L-fuzzy subset, we prove that the lattice of TM-fuzzy ideals in a modular lattice is a complete modular lattice. Moreover, using the projection and the cut shadow of an L-fuzzy set, we obtain necessary and sufficient conditions for a TL-fuzzy ideal of a Cartesian product of lattices to be a T-product of TL-fuzzy ideals of lattices. Our results generalize and develop the fuzzy ideal theory in lattices. |
| |
| Keywords: | left continuous t-norm TL-fuzzy ideal modular lattice T-product |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
