Boolean filters and prime filters of residual lattices

被引：1
|
作者：
Wang, Yong-quan [1 ,3 ]
Zhang, Xiao-hong [2 ]
Shao, Zhi-qing [1 ]
机构：
[1] E China Univ Sci & Technol, Coll Informat Sci & Engn, Shanghai 200237, Peoples R China
[2] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China
[3] E China Univ Polit Sci & Law, Sch Informat Sci & Technol, Shanghai 200042, Peoples R China
来源：
FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS | 2007年
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1109/FSKD.2007.206
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Residual lattice play an important role in the study of fuzzy logic based on t-norm. In this paper, we introduce the notions of Boolean filter in residual lattices, and therefore generalize the corresponding results which shown in BL-algebras by E Turunen to residual lattices. We completely solve an open problem on filters of BL-algebras posed by M Haveshki et al. Moreover, we investigate prime filters of residuated lattices, and by using the software MATHEMATICA we also give a counterexample to show the distinction between prime filters of residual lattices and one of MTL-algebras.
引用
收藏
页码：101 / +
页数：2
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