A Project on Ideals and Filters of a Fuzzy Lattice

dc.contributor.author	Biresaw, Engida
dc.date.accessioned	2019-09-19T04:30:03Z
dc.date.available	2019-09-19T04:30:03Z
dc.date.issued	2019-09-19
dc.identifier.uri	http://hdl.handle.net/123456789/9683
dc.description.abstract	Abstract In this project, we apply the max-min composition of fuzzy relation to show a given fuzzy relation is a fuzzy transitive, we redeﬁne the equality of two fuzzy relations from [8], and by using the deﬁnitions of ideals and ﬁlters of a fuzzy lattice, and some basic results from [8], we introduce our result as, let (X, A) be a fuzzy lattice and Y X such that (Y; B) is a fuzzy sup-lattice where B = Aj Y Y . Then, Y\ " Y = f W Yg, where Y = supY and " Y = fx 2 X : A(y; x) > 0 for any y 2 Yg. By using this result we disprove that some Mezzom’s results about the properties of ideals and ﬁlters of a fuzzy lattice. Finally, we show that the intersections of all families of ideals and ﬁlters of a fuzzy lattice are ideals and ﬁlters of a fuzzy lattice . W	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	A Project on Ideals and Filters of a Fuzzy Lattice	en_US
dc.type	Thesis	en_US