L-Fuzzy Filters of Almost Distributive Lattices

2018 ◽  
Vol 8 (1) ◽  
pp. 35
Author(s):  
U. M. Swamy ◽  
Ch. Santhi Sundar Raj ◽  
A. Natnael Teshale
Keyword(s):  
Distributive Lattices ◽  
Fuzzy Filters

scholarly journals μ -Fuzzy Filters in Distributive Lattices

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Wondwosen Zemene Norahun
Keyword(s):  
Distributive Lattice ◽  
Special Class ◽  
Distributive Lattices ◽  
Fuzzy Filter ◽  
One To One ◽  
Fuzzy Filters

In this paper, we introduce the concept of μ -fuzzy filters in distributive lattices. We study the special class of fuzzy filters called μ -fuzzy filters, which is isomorphic to the set of all fuzzy ideals of the lattice of coannihilators. We observe that every μ -fuzzy filter is the intersection of all prime μ -fuzzy filters containing it. We also topologize the set of all prime μ -fuzzy filters of a distributive lattice. Properties of the space are also studied. We show that there is a one-to-one correspondence between the class of μ -fuzzy filters and the lattice of all open sets in X μ . It is proved that the space X μ is a T 0 space.

Prime O-Ideals of Distributive Lattices

2012 ◽  
Vol 2 (1) ◽  
pp. 1
Author(s):  
Mukkamala Sambasiva Rao
Keyword(s):  
Distributive Lattices

scholarly journals Priestley duality for MV-algebras and beyond

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Wesley Fussner ◽  
Mai Gehrke ◽  
Samuel J. van Gool ◽  
Vincenzo Marra
Keyword(s):  
Large Class ◽  
Order Conditions ◽  
Enriched Environment ◽  
Priestley Duality ◽  
Distributive Lattices ◽  
First Order ◽  
Dual Spaces ◽  
Binary Operations ◽  
New Perspective ◽  
Mv Algebras

Abstract We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.

scholarly journals The Central Decomposition of FD01(n)

Order ◽  
2021 ◽  
Author(s):  
Peter Köhler
Keyword(s):  
Distributive Lattices ◽  
Finitely Generated ◽  
Finite Distributive Lattices

AbstractThe paper presents a method of composing finite distributive lattices from smaller pieces and applies this to construct the finitely generated free distributive lattices from appropriate Boolean parts.

Congruence relations on almost distributive lattices-II

2019 ◽  
pp. 2150005
Author(s):  
Gezahagne Mulat Addis
Keyword(s):  
Distributive Lattice ◽  
Congruence Relation ◽  
Congruence Class ◽  
Distributive Lattices ◽  
Ideal Formula ◽  
Congruence Relations

For a given ideal [Formula: see text] of an almost distributive lattice [Formula: see text], we study the smallest and the largest congruence relation on [Formula: see text] having [Formula: see text] as a congruence class.

Fuzzy filters of MTL-algebras

2005 ◽  
Vol 175 (1-2) ◽  
pp. 120-138 ◽  
Author(s):  
Young Bae Jun ◽  
Yang Xu ◽  
Xiao Hong Zhang
Keyword(s):  
Fuzzy Filters

A novel study on fuzzy ideals and fuzzy filters of ordered *-semigroups

2017 ◽  
Vol 33 (1) ◽  
pp. 423-431
Author(s):  
Xinyang Feng ◽  
Jian Tang ◽  
Bijan Davvaz ◽  
Yanfeng Luo
Keyword(s):  
Ordered Semigroups ◽  
Fuzzy Filters
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