As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-1, author = {Y. B. Jun and Yang Xu}, title = {Roughness of Filters in Lattice Implication Algebras}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {341-352}, zbl = {1104.03310}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-1} }
Y. B. Jun; Yang Xu. Roughness of Filters in Lattice Implication Algebras. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 341-352. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-1/