This paper introduced the concept of L-fuzzy sub lattice implication algebra and discussed its properties. Proved that the intersection set of a family of L-fuzzy sub lattice implication algebras is a L-fuzzy sub latt...This paper introduced the concept of L-fuzzy sub lattice implication algebra and discussed its properties. Proved that the intersection set of a family of L-fuzzy sub lattice implication algebras is a L-fuzzy sub lattice implication algebra, that a L-fuzzy sub set of a lattice implication algebra is a L-fuzzy sub lattice implication algebra if and only if its every cut set is a sub lattice implication algebra, and that the image and original image of a L-fuzzy sub lattice implication algebra under a lattice implication homomorphism are both L-fuzzy sub lattice implication algebras.展开更多
Ⅰ. Background Introduction Tangshan Teachers＇ College, where I work, was promoted from a two-year college to four-year college only two years ago through the evaluation of Ministry of Education of China. Its academ...Ⅰ. Background Introduction Tangshan Teachers＇ College, where I work, was promoted from a two-year college to four-year college only two years ago through the evaluation of Ministry of Education of China. Its academic atmosphere is quite teaching-based with inadequate attention and effort for research. Since the promotion, the President and the consultant board have endeavored to alter this situation, and have been laying profound emphasis on the renovation of the teaching and urged the teaching staff to participant in the research and teaching reform as well.展开更多
文摘This paper introduced the concept of L-fuzzy sub lattice implication algebra and discussed its properties. Proved that the intersection set of a family of L-fuzzy sub lattice implication algebras is a L-fuzzy sub lattice implication algebra, that a L-fuzzy sub set of a lattice implication algebra is a L-fuzzy sub lattice implication algebra if and only if its every cut set is a sub lattice implication algebra, and that the image and original image of a L-fuzzy sub lattice implication algebra under a lattice implication homomorphism are both L-fuzzy sub lattice implication algebras.
文摘Ⅰ. Background Introduction Tangshan Teachers＇ College, where I work, was promoted from a two-year college to four-year college only two years ago through the evaluation of Ministry of Education of China. Its academic atmosphere is quite teaching-based with inadequate attention and effort for research. Since the promotion, the President and the consultant board have endeavored to alter this situation, and have been laying profound emphasis on the renovation of the teaching and urged the teaching staff to participant in the research and teaching reform as well.
