Alaba, Berhanu Assaye; Norahun, Wondwosen Zemene \(\sigma\)-fuzzy ideals of distributive \(p\)-algebras. (English) Zbl 1438.06039 Ann. Fuzzy Math. Inform. 17, No. 3, 289-301 (2019). Summary: In this paper, we introduce the concept of \(\sigma\)-fuzzy ideals in distributive \(p\)-algebras. It is proved that the set of all \(\sigma\)-fuzzy ideals forms a complete distributive lattice. Moreover, the class of all \(\sigma\)-fuzzy ideals of a distributive \(p\)-algebra is isomorphic to the class of fuzzy ideals of the lattice of all booster ideals. Finally, we prove that the image and pre-image of \(\sigma\)-fuzzy ideals are also \(\sigma\)-fuzzy ideals. Cited in 2 Documents MSC: 06D72 Fuzzy lattices (soft algebras) and related topics 06B10 Lattice ideals, congruence relations Keywords:\(p\)-algebra; \(\sigma\)-ideal; fuzzy ideal; fuzzy filter; \(\sigma\)-fuzzy ideal PDFBibTeX XMLCite \textit{B. A. Alaba} and \textit{W. Z. Norahun}, Ann. Fuzzy Math. Inform. 17, No. 3, 289--301 (2019; Zbl 1438.06039) Full Text: DOI