The paper initially studies both the s-T3-separation and semi-T3-separation axiom of Khalimsky (K-for brevity) topological spaces. To do this work, first we investigate some properties semi-open semi-closed sets with respect to operations union or intersection further, a homeomorphism, semi-homeomorphism. Next, study various semi-topological K-topological spaces such as simple K-paths. Finally,...

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output tracking control problem of MIMO nonlinear systems is studied and gain scheduled reference model system is used for generating desired state trajectories. Usi...

We study some new classes of generalized closed sets (in the sense of N. Levine) in a topological space via the associated δ-closure and θ-closure. The relationships among these new classes and existing classes of generalized closed sets are investigated. In the last section we provide an extensive and more or less complete survey on separation axioms characterized via singletons. 2000 AMS Clas...

For every Hausdorff space X the space XΘ is introduced. If X is H-closed, then XΘ is a quasy-compact T1-space. If f : X → Y is a mapping, then there exists the mapping fΘ : XΘ → YΘ. We say that a mapping f : X → Y is Θ-closed if fΘ is a closed mapping. If X and Y are H-closed and if f : X → Y is a HJ-mapping, then fΘ is Θ-closed. Let X = {Xa, pab, A} be an inverse system of H-closed spaces Xa a...

the aim of present study was to determine the impact of two different icu management model, open and semi closed, on resources utilization in intensive care unit.retrospective cohort analysis using data from hospital database was applied to compare the effect of icu management model on icu length of stay and bed disposition of 1064 patients admitted to the general icu of imam khomeini hospital ...

In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra A with constants 0, 1 is Booolean-like in case for all a ∈ A the congruences θ (a, 0) and θ (a, 1) are compementary factor congruences of A. We also introduced the weaker notion of semi-Boolean-like algebra, showin...

we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to present a new extension. At the first, we introduce a pair of dual intuitionistic fuzzy operators (Θ,Φ). And some important properties are examined about these these operators. Moreover, θ-lower and φ-upper approximation operators are defined, by using the operators, and a novel ...

Let X = ΣY be a suspension. A question in homotopy theory is how to decompose the n-fold self smash product X into a wedge of spaces. Consider the set of homotopy classes [X, X]. Let the symmetric group Sn act on X by permuting positions. So for each σ ∈ Sn there is a map σ : X → X. This gives a function θ : Sn → [X, X]. By assuming that X is a suspension, [X, X] is an abelian group and so ther...

In this paper we study the separability in the plane by two criteria: double-wedge separability and Θ-separability. We give an O(N logN)-time optimal algorithm for computing all the vertices of separating double wedges of two disjoint sets of objects (points, segments, polygons and circles) and an O((N/Θ0) logN)-time algorithm for computing a nearly-straight minimal Θ-polygonal chain separating...