格的TL-模糊理想（英文）  

ON TL-FUZZY IDEALS IN LATTICES

作　　者：贺鹏飞[1] 杨永伟[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《数学杂志》2015年第6期1341-1352,共12页Journal of Mathematics

基　　金：Supported by Graduate Independent Innovation Foundation of Northwest University(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T-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.In this paper,we study T L-fuzzy ideals in lattices.By a T L-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 T L-fuzzy ideal of a Cartesian product of lattices to be a T-product of T L-fuzzy ideals of lattices.Our results generalize and develop the fuzzy ideal theory in lattices.

关 键 词：左连续t-模 模糊理想 模格 T-直积 

分 类 号：O159[理学—数学]