Fuzzy Ideals and Fuzzy Filters in Core Regular Double Stone Algebras
Keywords:
Core Regular Double Stone Algebra; Fuzzy ideal; Fuzzy filter; Star-compatible fuzzy ideal; Plus compatible fuzzy filter; α-cut. MSC 2020: 06D30; 03E72; 06B35.Abstract
Core Regular Double Stone Algebras (CRDSAs) form a distinguished class of bounded distributive lattices endowed with pseudocomplementation and dual pseudocomplementation together with a unique core element. Although fuzzy ideals and fuzzy filters have been widely studied in lattices and several lattice-based algebras, comparatively little attention has been devoted to fuzzy structures adapted to CRDSAs.


