title: Classes of int-soft filters in residuated lattices.
abstract: The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.
authors.affiliation: Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of Korea.
authors.forename: Young Bae
authors.initials: YB
authors.lastname: Jun
authors.affiliation: Department of Mathematics Education, Dongguk University, Seoul 100-715, Republic of Korea.
authors.forename: Sun Shin
authors.initials: SS
authors.lastname: Ahn
authors.affiliation: Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea.
authors.forename: Kyoung Ja
authors.identifier: 0000-0002-0421-2970
authors.initials: KJ
authors.lastname: Lee
mesh_terms: D017143:Fuzzy Logic; D008962:Models, Theoretical