Pure Mathematics for Theoretical Computer Science

 The purpose of this paper is construct the concept of fuzzy regular proper mapping in fuzzy topological spaces. We give some characterization of fuzzy regular compact mapping and fuzzy regular coercive mapping. We study the relation among the concepts of fuzzy regular proper mapping, fuzzy regular compact mapping and fuzzy regular coercive mapping and we obtained several properties.

Decision Making in economic organizations, especially the productivity, is one of the problems that researchers are interested in. It is important for the organizations that seek global competition and the integration of their decision will lead to coordination of decisions between the departments of these organizations to determine optimal order quantity and establish a correct inventory policy to warrant production with least total costs (costs of transportation, holding and purchasing), these is the objective of any company to achieve an adequate and enough inventory level to meet the future needs. In this paper, integrated decision making with three stages, first stage is forecasting with demands to final products using time series, second stage determine required quantities for raw material to manufacture these final products, and formulated a mathematical model reduces the total cost in third stage, when the transportation and purchase are variable costs with order quantity, while in just-in-time model or economic order quantity model are a fixed demand and purchase cost. The aim of this paper is integrated decision making to reduce total cost of required raw materials for the manufacturing processes and without and determine the optimal order quantity using genetic algorithms. This study was applied in Wasit company for cotton products in the textile factory, the results shown Holt-Winter method is the best method to forecasting because has least mean absolute error and the percentage of purchasing cost 73%, Transportation cost 8%, and holding cost 19%. The percentage of purchasing cost of cotton is biggest value, more 99% of purchasing cost.

In this paper, we prove the following result: If the space  (the finite sequences) is equipped with the norm which is naturally induced by a positive definite Hermitian and diagonally blockwise constructed matrix, then an HK completion exists. Also, we investigate our result through many illustrated examples.

In this paper we prove that for any ordered basis  of a vector space there is a basis  for which the greedy code generated using the B-ordering is linear with respect to , where B2 is derived from  by a lower triangular matrix P; . In Addition we prove a similar result for self-orthogonal greedy codes.

Statistics are considered the backbone of the strategies of the quality control system, because of their important role in the use of tools, theories and analysis in these strategies. in the six sigma strategies (DMAIC) and (DMADV), each step is not without statistical methods. The study relied on the application of the statistical nonparametric methods and quantitative tools used in the Six Sigma strategy to apply the quality control performance of the research sample to improve the required quality by knowing the production derivatives and the reasons for the slowdown in the production process (Al-Moatasem Factory for Vegetable Oils), the fat line with its three sections.