Filters of Heyting algebras on soft set theory

摘要

The notions of intersection soft filer(IS-filter), Boolean intersectionalsoft filter(Boolean IS-filter) and ultra inetersectional soft filter(ultra ISfilter)in Heyting algebras are introduced and their characterizations andrelations are investigated. We discuss characterizations of IS-filter andBoolean IS-filter and consider relations between IS-filters and BooleanIS–filters. Also we introduce the concept of prime IS-filter and investigatethe relation between ultra IS-filter and prime Boolean IS-filter.