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- Surjeet Singh, Fawzi A. Al-Thukair
- Int. J. Math. Mathematical Sciences
- 2004

Let X, X be two locally finite, preordered sets and let R be any indecomposable commu-tative ring. The incidence algebra I(X, R), in a sense, represents X, because of the well-known result that if the rings I(X, R) and I(X ,R) are isomorphic, then X and X are iso-morphic. In this paper, we consider a preordered set X that need not be locally finite but has… (More)

We study a Gaussian matrix function of the adjacency matrix of artificial and real-world networks. We motivate the use of this function on the basis of a dynamical process modeled by the time-dependent Schrödinger equation with a squared Hamiltonian. In particular, we study the Gaussian Estrada index-an index characterizing the importance of eigenvalues… (More)

- T. M. G. Ahsanullah, Fawzi A. Al-Thukair
- Int. J. Math. Mathematical Sciences
- 2004

We generalize min-neighborhood groups to arbitrary T -neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min-neighborhood groups due to T. M. G. Ahsanullah. We show that every T -neighborhood group is T -uniformizable, therefore, T -completely regular. We also present… (More)

- T. M. G. Ahsanullah, Fawzi A. Al-Thukair
- Int. J. Math. Mathematical Sciences
- 2004

We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0 < α < 1, the α-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a… (More)

- Surjeet Singh, Fawzi A. Al-Thukair
- Int. J. Math. Mathematical Sciences
- 2005

Let X be any partially ordered set, R any commutative ring, and T = I * (X,R) the weak incidence algebra of X over R. Let Z be a finite nonempty subset of X, L(Z) = {x ∈ X : x z for some z ∈ Z}, and M = Te Z. Various chain conditions on M are investigated. The results so proved are used to construct some classes of right perfect rings that are not left… (More)

unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Considering a frame L, we introduce the notions of stratified L-semi-topological neighborhood group, stratified L-quasi-topological neighborhood group, and stratified L-quasi-bi-topological neighborhood group. In so doing, we look at the… (More)

- Fawzi A. Al-Thukair, Andrzej Pelc, Ivan Rival, Jorge Urrutia
- SIAM J. Discrete Math.
- 1991

Ordered sets are used as a computational model for motion planning problems. Every ordered set has a two-directional point representation using subdivisions. These subdivision points correspond to direction changes along the path of motion.

- T. M. G. Ahsanullah, David Gauld, Jawaher Al-Mufarrij, Fawzi A. Al-Thukair
- Fuzzy Sets and Systems
- 2014

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