Chain Based and B-Almost Distributive Fuzzy Lattices

Gerima, Tefera

dc.contributor.author	Gerima, Tefera
dc.date.accessioned	2019-03-27T08:36:57Z
dc.date.available	2019-03-27T08:36:57Z
dc.date.issued	2019-03-27
dc.identifier.uri	http://hdl.handle.net/123456789/9311
dc.description.abstract	Abstract In this dissertation Birkho center of almost distributive fuzzy lattice, properties of stone almost distributive fuzzy lattice,B-almost distributive fuzzy lattice, P0􀀀 almost distributive fuzzy lattice and P1􀀀 almost distributive fuzzy lattice are in- troduced as extension of Birkho center of almost distributive lattice, properties of stone almost distributive lattice,B-almost distributive lattice,P0􀀀 almost distribu- tive lattice,and P1􀀀 almost distributive lattice respectively. They are conceived as extensions of their analogous operations on the classical theory . One of the result found here is the connection of almost distributive lattice in lattice theory and almost distributive fuzzy lattice in fuzzy lattice theory. The con- cept of Birkho center BA(R) of an almost distributive fuzzy lattice (R;A) with maximal element is introduced. We also prove that product of almost distributive fuzzy lattice is again almost distributive fuzzy lattice. We develop the concept of properties of stone almost distributive fuzzy lattice(Stone ADFL) as an extension of properties of stone al- most distributive lattice (Stone ADL) and necessary and su cient conditions for properties of stone almost distributive fuzzy lattice are investigated. Again the notion of B-almost distributive fuzzy lattice(B-ADFL) interms of its principal ideal fuzzy lattice is introduced. We also explained the concept of P0􀀀 almost distributive fuzzy lattice (P0􀀀ADFL) with a nite chain base and we prove basic properties about P0􀀀 almost distributive fuzzy lattice as an extension of P0􀀀 almost distributive lattice and product of family of P0􀀀ADFL is also P0􀀀ADFL. Finaly, the idea of P1􀀀 almost distributive fuzzy lattice as an extension of P1􀀀 almost distributive lattice is introduced and we set necessary and su cient con- ditions for a P1􀀀 almost distributive lattice to become a P1􀀀 almost distributive fuzzy lattice.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	Chain Based and B-Almost Distributive Fuzzy Lattices	en_US
dc.type	Thesis	en_US