L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras. (19th June 2021)

• Record Type: Journal Article
• Authors: Alemayehu, Teferi Getachew; Engidaw, Derso Abeje; Addis, Gezahagne Mulat
• Other Names: Papadopoulos Basil Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-06-19
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6644443
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra A, f, whose truth values are in a complete lattice satisfying the infinite meet distributive law. Some equivalent conditions are derived for a fuzzy ideal of an Ockham algebra A to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on A having a given fuzzy ideal as its kernel.