Almost distributive lattices

Swamy, U. M.; Rao, G. C.

doi:10.1017/s1446788700018498

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction4

Citation Types

Supporting

Mentioning

Contrasting

Unclassified

Year Published

2000

2022

Publication Types

Select...

Article7

Other3

Relationship

Self Cite0

Independent10

Authors

Journals

Cited by 73 publications

(71 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The concept of an Almost Distributive Lattice (ADL) was introduced in 1981 by U.M. Swamy and G.C.Rao [5] as a common abstraction to most of the existing ring theoretic and lattice theoretic generalization of Boolean algebra. In this paper, we introduce the concept of an Implicative Almost Distributive Lattice (IADL) as a generalization of an implicative algebra in the class of ADLs.…”

Section: Introductionmentioning

confidence: 99%

Implicative Almost Distributive Lattice

Alaba

Alamneh

Munie

2018

IJCSAM

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Implicative Almost Distributive Lattice

Alaba

Alamneh

Munie

2018

IJCSAM

View full text Add to dashboard Cite

show abstract

“…Swamy and G.C. Rao as a common abstraction to most of the existing ring theoretic generalizations of a Boolean algebra and distributive lattices [1]. Heyting Algebra is a relatively pseudo complemented distributive lattice.…”

Section: Introductionmentioning

confidence: 99%

Heyting Almost Distributive fuzzy Lattices

Alaba

Derso

2018

IJCSAM

View full text Add to dashboard Cite

Abstract-In this paper, we introduce the concept of Heyting almost distributive fuzzy lattices (HADFL) using the concepts of Heyting almost distributive lattices (HADL), almost distributive fuzzy lattices, fuzzy partial order relation and fuzzy Heyting algebra. Using the properties of fuzzy Heyting algebra, we also give a necessary and sufficient condition for an HADFL to be fuzzy Heyting algebra (FHA).

show abstract

“…The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U.M.Swamy and G.C.Rao [3] as a common abstraction of several lattice theoretic generalization of Boolean algebras and Boolean rings. Mark.…”

Section: Introductionmentioning

confidence: 99%