| 自反模糊滤子与自反模糊序理想 |
| |
| 引用本文： | 罗敏霞,贾双盈.自反模糊滤子与自反模糊序理想[J].山西师范大学学报,2000,14(3):20-23. |
| |
| 作者姓名： | 罗敏霞 贾双盈 |
| |
| 作者单位： | [1]运城高等专科学校,山西运城 [2]西安公路交通大学,陕西西安 |
| |
| 摘 要： | 引入ＢＣＫ－代数Ｘ的自反模糊滤子及ＢＣＫ－代数伴随半群Ｍ（Ｘ）的自反模糊序理想的概念，由自反模糊滤子可诱导一个自反模糊序理想，反过来，由自反模糊序理想也可诱导一个自反模糊滤子，最后证明了ＢＣＫ－代数的所有自反模糊滤子的集合与ＢＣＫ－代数伴随半群Ｍ（Ｘ）的所有自反模糊序理想的集合之间存在一一对应。
|
| 关 键 词： | 自反模糊滤子 自反模糊序理想 模糊集 |
Anti Fuzzy Filters and Anti Fuzzy Order Ideals |
| |
| LUO Min,xia.Anti Fuzzy Filters and Anti Fuzzy Order Ideals[J].Journal of Shanxi Teachers University,2000,14(3):20-23. |
| |
| Authors: | LUO Min xia |
| |
| Institution: | LUO Min xia |
| |
| Abstract: | In this paper, we introduce the notion of anti fuzzy filter of BCK algebra X and anti fuzzy order ideal of the adjoint semigroup M(X) of BCK algebra. We induce an anti fuzzy order ideal by an anti fuzzy filter; conversely, we induce an anti fuzzy filter by an anti fuzzy order ideal. Finally, we prove that there is a bijection between the set of all anti fuzzy filters of a BCK algebra X and the set of all anti fuzzy order ideals of the adjoint semigroup M(X) of BCK algebra X . |
| |
| Keywords: | Anti fuzzy filter Anti fuzzy order ideal |
| 本文献已被 CNKI 维普 等数据库收录！ |
