سامي كاظم كريم الذبحاوي

ABSTRACT This study is devoted to discuss the special cases that occur in linear programming problems (LPP). We have discussed each of them with three aspects. The aspect represents the algebraic base that has been shown with help of POM-QM software, and TORA software, the second one focuses on the geometric representations of three-dimensional space, the third aspect deals with the economic and administrative meaning. These ideas have been shown in geometrical meanings of three dimensional space by using the MAPL software.

ABSTRACT Notable concepts derived from Islamic traditions are currently unavailable, since there are no unified Islamic platforms that provide accurate and certified results of authentic Islamic content. Traditional search engines do not offer powerful tools for searching religious content; users can search what is available on the Internet to some extent, but to access detailed information they must specify their religious intention. With the Google search engine, for example, it is extremely difficult to search a term or topic related to Islam due to Google‟s open nature. Furthermore, it is difficult to prove that the contents of searched results are authentic Islamic traditions. A single search of a religious term will yield results that paint Islam negatively in the first few search results, which is a direct result of so-called „Islamophobia‟ in today‟s world. In our information retrieval proposal, we examine an approach that provides alternative Web search results and opportunities for Islam to address Islamophobia. Our model is intended to provide concepts of authentic and certified Islamic information, and we achieved relevant and promising results based on the evaluation of the National Institute of Standards and Technology.

Abstract There are several methods that are used to solve the traditional transportation problems whose units of supply, demand quantities, and cost transportation are known exactly. These methods obtain basic solution, and develop it to the best solution through a series of consecutive calculations to obtain the optimal solution. The steps are more complex with fuzzy variables, so this paper presents the disadvantages of solutions of the traditional ways with existence of variables in the fuzzy form. This paper also presents a comparison between the results that emerged after using different conversion ranking formulas to convert from fuzzy form to crisp form on the same numerical example with a full fuzzy form. The problem has been then converted into a linear programming model, and the BIG-M method to be later used to find the optimal solution that represents the number of units transferred from processing or supply centers to a number of demand centers based on the known cost of transportation. Achieving the goal of the problem is by finding the lowest total transportation cost, while the comparison is based on that value. The results are presented in a comprehensive table that organizes data and results in a way that facilitates quick and accurate comparison. An amendment to one of the order formats was suggested, because it has different results compared to other formulas. One of the ranking equations is modified, because it has different results compared to other methods..

Abstract Our paper is concerned with a generalization of the boundaries of copula that are well-known by Frechet-Hoeffding conditions [4], and study copula boundaries as functions defined on quantum logic ., While there are many properties that have been presented according to our proposed generalization throughout these modified functions and show that some important propositions that have different forms to those of classical copulas. Indeed, it has been shown two main results relevant to the lower and upper boundaries of what we have defined and named by quantum logic copulas, see [1] .

Introduction Molodtsov [1] initiated the theory of soft sets as a new mathematical tool for dealing with uncertainties. Later other authors Maji et al. [2-4] have further studied the theory of soft sets and also introduced the concept of fuzzy soft set, which is a combination of fuzzy set [5] and soft set. Thereafter, Aktas and Cagman [6] have introduced the notion of soft groups. Aygunoglu and Aygun [7] have generalized the concept of Aktas and Cagman [6] and introduce fuzzy soft group. F.Feng et al. [8] gave soft semirings and U.Acar et al. [9] introduced initial concepts of soft rings. Ghosh et al. [10] gave the notion of fuzzy soft rings. The definition of fuzzy modules is given by some authors. [11-13] Qiu- Mei Sun et al. [14] defined soft modules and investigated their basic properties. Gunduz and Bayramov [15] introduced a basic version of fuzzy soft module theory. Alhusiny A. [16] gave the concept of modules. In this paper the main purpose is to introduce a basic concept of Noetherian and Artinian. and finally some of their basic properties. ISSN: 0067-2904 GIF: 0.851

Abstract: This paper look for implementing quantitative methods such as waiting theory as one of the methods of measuring the quality of health service technique in the ENT clinic. The proposed method was tested the times of patients arrival, and the times of service provided to the patients according to the Chi-square test. This study proved that the time at the current state follow the first model, while it is follow the second model in the proposed state. The clinic characteristics viewed via performance scales of the model by (QOM Windows -QM program), and using the merging charts for entire (system cost, service, and wait) with the number of service centers. It's found that the optimal solution to the clinic is to creation a new service center in the clinic provides minimum cost for system which is less than the cost of the current clinic with a single center. The results of probabilities, performance, and block diagram providing clear data for easy decision-making to make optimal decision regarding the waiting time, the system cost, the number of service centers, and the number of auditors patients in a waiting queue, also it provides the possible alternative solutions for optimal solution in case of difficulties to implement the optimal solution. from the tables of the suggested patients visiting the clinic it is possible to know the peak of the auditors patients times which help decision-maker to implement the author recommends for reducing the waiting time and provide high quality reach the customer wishes from the services.

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