We define and study new ideas of fibrewise topological space namely fibrewise multi-topological space . We also submit the relevance of fibrewise closed and open topological space . Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space . Furthermore, we propose and prove a number of statements about these ideas. On the other hand, extend separation axioms of ordinary topology into fibrewise setting. The separation axioms are said to be fibrewise multi-T0. spaces, fibrewise multi-T1spaces, fibrewise multi-R0 spaces, fibrewise multi-Hausdorff spaces, fibrewise multi-functionally Hausdorff spaces, fibrewise multi-regular spaces, fibrewise multi-completely regular spaces, fibrewise multi-normal spaces and fibrewise multi-functionally normal spaces. Also we give many score regarding it.. Furthermore, and show the notions of fibrewise multi-compact, fibrewise locally multi-compact spaces, Moreover, we study relationships between fibrewise multi-compact(resp., locally multi-compac) space and some fibrewise multi-separation axioms. Finally, the concepts are studied fibrewise multi-perfect topological spaces, filter base, contact point, multi-rigid, fibrewise multi-weakly closed, E set, fibrewise almost multi-perfect, multi*-continuous fibrewise multi∗ -topological spaces respectively, multi-Te, locally QHC, In addition, we state and prove several propositions related to these concepts.
In this paper, certain types of regularity of topological spaces have been highlighted, which fall within the study of generalizations of separation axioms. One of the important axioms of separation is what is called regularity, and the spaces that have this property are not few, and the most important of these spaces are Euclidean spaces. Therefore, limiting this important concept to topology is within a narrow framework, which necessitates the use of generalized open sets to obtain more good characteristics and preserve the properties achieved in general topology. Perhaps the reader will realize through the research that our generalization preserved most of the characteristics, the most important of which is the hereditary property. Two t
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The primary aim of this paper, is to introduce the rough probability from topological view. We used the Gm-topological spaces which result from the digraph on the stochastic approximation spaces to upper and lower distribution functions, the upper and lower mathematical expectations, the upper and lower variances, the upper and lower standard deviation and the upper and lower r th moment. Different levels for those concepts are introduced, also we introduced some results based upon those concepts.
A field experiment was conducted through 2010-2011 in the experimental field return to AlKut forest project near the Tigris river\ General Directorate of Horticultural and Forestry at Wasit governorate. The purpose of this research is to know the response of four cultivars of Sesame to Foliar nutrition with Boron. R.C.B.P. were used with split plot in four Replications including main plot cultivars, Ishtar, Babel, Al-Rafidain, local. While sub-plot included four concentrations of boron (0,50,100, 150) mgb/L-1. The result showed that Al-Rafidain was superior in the average of plant height and % of oil over all cultivars, while the local cultivars gave higher average of number of branches for plant and the highest first
... Show MoreThe aim of this paper is to present a weak form of -light functions by using -open set which is -light function, and to offer new concepts of disconnected spaces and totally disconnected spaces. The relation between them have been studied. Also, a new form of -totally disconnected and inversely -totally disconnected function have been defined, some examples and facts was submitted.
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A multivariate multisite hydrological data forecasting model was derived and checked using a case study. The philosophy is to use simultaneously the cross-variable correlations, cross-site correlations and the time lag correlations. The case study is of two variables, three sites, the variables are the monthly rainfall and evaporation; the sites are Sulaimania, Dokan, and Darbandikhan.. The model form is similar to the first order auto regressive model, but in matrices form. A matrix for the different relative correlations mentioned above and another for their relative residuals were derived and used as the model parameters. A mathematical filter was used for both matrices to obtain the elements. The application of this model indicates i
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The basic concepts of some near open subgraphs, near rough, near exact and near fuzzy graphs are introduced and sufficiently illustrated. The Gm-closure space induced by closure operators is used to generalize the basic rough graph concepts. We introduce the near exactness and near roughness by applying the near concepts to make more accuracy for definability of graphs. We give a new definition for a membership function to find near interior, near boundary and near exterior vertices. Moreover, proved results, examples and counter examples are provided. The Gm-closure structure which suggested in this paper opens up the way for applying rich amount of topological facts and methods in the process of granular computing.
Objective: To know the recent shifts in the decision-making process and theories and stages, techniques and systems affecting it.
The need for research coming because of the problems that accompany the decision as a result of the failure Sometimes, poor visualization or the narrow perspective of decision-making than miss the opportunity to choose alternatives or options of the most effective and appropriate to solve a problem.
And has received exceptional decision-making process in administrative studies and research to enable the organization to continue its activities and its high efficiency, especially successful that the decision depends on the future,
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In this paper, some basic notions and facts in the b-modular space similar to those in the modular spaces as a type of generalization are given. For example, concepts of convergence, best approximate, uniformly convexity etc. And then, two results about relation between semi compactness and approximation are proved which are used to prove a theorem on the existence of best approximation for a semi-compact subset of b-modular space.
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