On Intuitionistic Fuzzy LI-ideals in Lattice Implication Algebras  

作　　者：Chunhui LIU 

机构地区：[1]Department of Mathematics and Statistics,Chifeng University

出　　处：《Journal of Mathematical Research with Applications》2015年第4期355-367,共13页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China.(Grant No.60774073)

摘　　要：In the present paper, the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuition- istic fuzzy LI-ideals are given. Representation theorem of intuitionistic fuzzy LI-ideal which iS generated by an intuitionistic fuzzy set is established. It is proved that the set consisting of all intuitionistic fuzzy LI-ideals in a lattice implication algebra, under the inclusion order, forms a complete distributive lattice.In the present paper, the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuition- istic fuzzy LI-ideals are given. Representation theorem of intuitionistic fuzzy LI-ideal which iS generated by an intuitionistic fuzzy set is established. It is proved that the set consisting of all intuitionistic fuzzy LI-ideals in a lattice implication algebra, under the inclusion order, forms a complete distributive lattice.

关 键 词：lattice-valued logic lattice implication algebra intuitionistic fuzzy LI-ideal 

分 类 号：O159[理学—数学] O153.1[理学—基础数学]