International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 1, Pages 45-52
doi:10.1155/S0161171201006214
Some operations on lattice implication algebras
E.H. Roh1
, S.Y. Kim1
, Y. Xu3
and Y.B. Jun4
1Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Korea
3Department of Applied Mathematics, Southwest Jiaotong University, Sichuan, Chengdu 610031, China
4Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea
Abstract
We introduce the concept of a ⊗-closed set and a ⊗-homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters.