Results 1 to 10 of about 410 (263)
On Dualization over Distributive Lattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Given a partially order set (poset) $P$, and a pair of families of ideals $\mathcal{I}$ and filters $\mathcal{F}$ in $P$ such that each pair $(I,F)\in \mathcal{I}\times\mathcal{F}$ has a non-empty intersection, the dualization problem over $P$ is to ...
Khaled Elbassioni
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Belief functions on distributive lattices
Artificial Intelligence, 2013 The Dempster-Shafer theory of belief functions is an important approach to deal with uncertainty in AI.In the theory, belief functions are defined on Boolean algebras of events. In many applications of belief functions in real world problems, however, the objects that we manipulateis no more a Boolean algebra but a distributive ...
Chunlai Zhou
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Meet-distributive lattices have the intersection property [PDF]
Mathematica Bohemica, 2023 This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure operator ...
Henri Mühle
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Distributive lattices have the intersection property [PDF]
Mathematica Bohemica, 2021 Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices.
Henri Mühle
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SOME PROPERTIES ON DERIVATIONS OF LATTICES [PDF]
Journal of Algebraic Systems, 2021 In this paper we consider some properties of derivations of lattices and show that (i) for a derivation $d$ of a lattice $L$ with the maximum element $1$, it is monotone if and only if $d(x) \le d(1)$ for all $x\in L$ (ii) a monotone derivation $d$ is ...
Mayuka Kawaguchi, Michiro KONDO
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INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES [PDF]
Journal of Algebraic Systems, 2023 The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets.
SAMBASIVA RAO MUKKAMALA
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REGULAR FILTERS OF DISTRIBUTIVE LATTICES [PDF]
Journal of Algebraic Systems, 2023 The concepts of regular filters and π--filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter.
Sambasiva Rao Mukkamala +1 more
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New characterization theorems of the mp-quantales [PDF]
Journal of Fuzzy Extension and Applications, 2021 The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
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On the Number of Distributive Lattices [PDF]
The Electronic Journal of Combinatorics, 2002 We investigate the numbers $d_k$ of all (isomorphism classes of) distributive lattices with $k$ elements, or, equivalently, of (unlabeled) posets with $k$ antichains. Closely related and useful for combinatorial identities and inequalities are the numbers $v_k$ of vertically indecomposable distributive lattices of size $k$.
Marcel Erné +2 more
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On α-Multiplier on Almost Distributive Lattices
Journal of Mathematics, 2021 In this paper, we initiate the concept of α-multiplier on almost distributive lattices. We prove some useful results by using the notion of α-multiplier and generalize the idea of multiplier on almost distributive lattices.
Ying Wang +5 more
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