The Fuzzy Lattice of Ideals and Filters of an Almost Distributive Fuzzy Lattice

Adugnaw, Gobaw

dc.contributor.author	Adugnaw, Gobaw
dc.date.accessioned	2019-10-09T04:22:31Z
dc.date.available	2019-10-09T04:22:31Z
dc.date.issued	2019-10-09
dc.identifier.uri	http://hdl.handle.net/123456789/9806
dc.description.abstract	In this project, we have seen the concept of principal ideals, principal filters and the fuzzy lattice of ideals and filters of an almost distributive fuzzy lattice. It is proved that a fuzzy poset (I A (L), B) and (F A (L), B) forms a fuzzy lattice, where I A (L) and F A (L) are the set containing all ideals, and the set containing all filters of an Almost Distributive Fuzzy Lattice(ADFL) respectively. And also proved that, a fuzzy poset (PI A (L), B) and (PF A (L), B) forms fuzzy distributive lattice, where PI A (L) and PF A (L) denotes the set containing all principal ideals and the set containing all principal filters of an ADFL. Finally, it is proved that for any ideal I and filter F of an ADFL, I i A = {(i] A : i ∈ I} and F : f ∈ F} are ideals of a fuzzy distributive lattice (PI A (L), B) and (PF A f A = {[f) A (L), B) respectively, and F = {(f ] A : f ∈ F} and I f A = {[i) A : i ∈ I} are filters of a distributive fuzzy lattice (PI A (L), B) and (PF A (L), B) respectively. i A	en_US
dc.language.iso	en	en_US
dc.subject	Mathematics	en_US
dc.title	The Fuzzy Lattice of Ideals and Filters of an Almost Distributive Fuzzy Lattice	en_US
dc.type	Thesis	en_US