@article{(Open Science Index):https://publications.waset.org/pdf/9679, title = {Filteristic Soft Lattice Implication Algebras}, author = {Yi Liu and Yang Xu}, country = {}, institution = {}, abstract = {Applying the idea of soft set theory to lattice implication algebras, the novel concept of (implicative) filteristic soft lattice implication algebras which related to (implicative) filter(for short, (IF-)F-soft lattice implication algebras) are introduced. Basic properties of (IF-)F-soft lattice implication algebras are derived. Two kinds of fuzzy filters (i.e.(2, 2 _qk)((2, 2 _ qk))-fuzzy (implicative) filter) of L are introduced, which are generalizations of fuzzy (implicative) filters. Some characterizations for a soft set to be a (IF-)F-soft lattice implication algebra are provided. Analogously, this idea can be used in other types of filteristic lattice implication algebras (such as fantastic (positive implicative) filteristic soft lattice implication algebras). }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {12}, year = {2011}, pages = {1977 - 1983}, ee = {https://publications.waset.org/pdf/9679}, url = {https://publications.waset.org/vol/60}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 60, 2011}, }