Results 21 to 30 of about 679,842 (277)

Ordered Information Systems and Graph Granulation [PDF]

, 2016
The concept of an Information System, as used in Rough Set theory, is extended to the case of a partially ordered universe equipped with a set of order preserving attributes. These information systems give rise to partitions of the universe where the set
A Skowron, C Berge, I Bloch, J Serra, JG Stell, JG Stell, JG Stell, JG Stell, JG Stell, L Polkowski, R Diestel, R Slowinski, SP Demri, T-F Fan, TY Lin, YY Yao, Z Pawlak   +16 more
core   +1 more source

The partially pre-ordered set of compactifications of Cp(X, Y)

Topological Algebra and its Applications, 2015
In the set of compactifications of X we consider the partial pre-order defined by (W, h) ≤X (Z, g) if there is a continuous function f : Z ⇢ W, such that (f ∘ g)(x) = h(x) for every x ∈ X. Two elements (W, h) and (Z, g) of K(X) are equivalent, (W, h) ≡X (
Dorantes-Aldama A., Rojas-Hernández R., Tamariz-Mascarúa Á.   +2 more
doaj   +1 more source

Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces

Advances in Difference Equations, 2020
In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine, Rabha W. Ibrahim, Ravi P. Agarwal, N. H. Can   +3 more
doaj   +1 more source

Structural Properties and Relative Stability of (Meta)Stable Ordered, Partially-ordered and Disordered Al-Li Alloy Phases [PDF]

, 2012
We resolve issues that have plagued reliable prediction of relative phase stability for solid-solutions and compounds. Due to its commercially important phase diagram, we showcase Al-Li system because historically density-functional theory (DFT) results ...
A. J. McAlister, A. P. Midownik, Aftab Alam, D. D. Johnson, D. D. Johnson, E. D. Levine, H. Ueda, I. Barin, J. Hafner, V. L. Moruzzi   +9 more
core   +4 more sources

Neutrosophic Lattices [PDF]

Neutrosophic Sets and Systems, 2014
In this paper authors for the first time define a new notion called neutrosophic lattices. We define few properties related with them. Three types of neutrosophic lattices are defined and the special properties about these new class of lattices are ...
Vasantha Kandasamy, Florentin Smarandache   +1 more
doaj  

A logic of soft constraints based on partially ordered preferences [PDF]

, 2012
Representing and reasoning with an agent's preferences is important in many applications of constraints formalisms. Such preferences are often only partially ordered.
Wilson, Nic
core   +1 more source

Fixed Point Theorems in Rectangular b-Metric Space Endowed with a Partial Order

Axioms, 2023
The purpose of this paper is to present some fixed-point results for self-generalized contractions in ordered rectangular b-metric spaces. We also provide some examples that illustrate the non-triviality and richness of this area of research.
Andrei Horvat-Marc, Mariana Cufoian, Adriana Mitre, Ioana Taşcu   +3 more
doaj   +1 more source

A Novel Definition of L-Fuzzy Lattice Based on Fuzzy Set

The Scientific World Journal, 2013
The concept of L-fuzzy lattice is presented by means of an L-fuzzy partially ordered set. An L-fuzzy partially ordered set A is an L-fuzzy lattice if and only if one of A[a], A[a], and A(a) is a lattice.
Jun-Fang Zhang
doaj   +1 more source

On chains and posets within the power set of a continuum

International Journal of Mathematics and Mathematical Sciences, 1995
Transfinite induction is employed to construct a copy of an arbitrary partially-ordered set of cardinality at most c within the power set (quasi-ordered by sub-chain embeddability) of the real line.
P. T. Matthews, T. B. M. McMaster
doaj   +1 more source

Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space

Journal of Applied Mathematics, 2013
Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.
Toshiharu Kawasaki, Masashi Toyoda, Toshikazu Watanabe   +2 more
doaj   +1 more source